Great Mathematics Books of the Twentieth Century by Ji

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index

A

  • Abikoff The Real Analytic Theory of Teichmüller Space, 136
  • Abraham, Marsden Foundations of Mechanics, 512
  • Abramenko, Brown Buildings. Theory and Applications, 455
  • Acton Numerical Methods that Work, 611
  • Adams, J. Stable Homotopy and Generalised Homology, 332
  • Adams, R., Fournier Sobolev Spaces, 427
  • Adem, Milgram Cohomology of Finite Groups, 336
  • Agmon Lectures on Elliptic Boundary Value Problems, 422
  • Ahlfors
    • Complex Analysis, 115
    • Conformal Invariants: Topics in Geometric Function Theory, 133
    • Lectures on Quasiconformal Mappings, 132
  • Aigner Combinatorial Theory, 544
  • Aigner, Ziegler Proofs from The Book, 107
  • Ainsworth, Oden A Posteriori Error Estimation in Finite Element Analysis, 620
  • Akhiezer, Glazman Theory of Linear Operators in Hilbert Space, 170
  • Akivis, Rosenfeld Élie Cartan (1869-1951), 75
  • Aleksandrov, Kolmogorov, Lavrent’ev Mathematics: Its Content, Methods, and Meaning, 12
  • Alexandroff Elementary Concepts of Topology, 38
  • Alexandroff, Hopf Topologie I, 316
  • Alexandrov (or Alexandroff) Combinatorial Topology, 317
  • Alfsen Compact Convex Sets and Boundary Integrals, 312
  • Alligood, Sauer, Yorke Chaos. An Introduction to Dynamical Systems, 521
  • Alon, Spencer The Probabilistic Method, 576
  • Ambrosio, Fusco, Pallara Functions of Bounded Variation and Free Discontinuity Problems, 432
  • Anderson, Fuller Rings and Categories of Modules, 216
  • Anderson, Guionnet, Zeitouni An Introduction to Random Matrices, 581
  • Andrews The Theory of Partitions, 406
  • Apostol
    • Calculus, 84
    • Introduction to Analytic Number Theory, 377
  • Arbarello, Cornalba, Griffiths Geometry of Algebraic Curves, II, 298
  • Arbarello, Cornalba, Griffiths, Harris Geometry of Algebraic Curves, I, 297
  • Arnold, L. Random Dynamical Systems, 523
  • Arnold, V.
    • Geometrical Methods in the Theory of Ordinary Differential Equations, 410
    • Mathematical Methods of Classical Mechanics, 512
    • Ordinary Differential Equations, 410
  • Artin, E.
    • Galois Theory, 364
    • Geometric Algebra, 452
  • Artin, M. Algebra, 199
  • Ash, Gross Fearless Symmetry. Exposing the Hidden Patterns of Numbers, 33
  • Astala, Iwaniec, Martin Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane, 134
  • Atiyah K-theory, 333
  • Atiyah, MacDonald Introduction to Commutative Algebra, 219
  • Attouch Variational Convergence for Functions and Operators, 269
  • Aubin
    • Nonlinear Analysis on Manifolds. Monge Ampère Equations, 260
    • Some Nonlinear Problems in Riemannian Geometry, 260
  • Aubin, Cellina Differential Inclusions, 311
  • Aubin, Ekeland Applied Nonlinear Analysis, 102
  • Aubin, Frankowska Set-valued Analysis, 102
  • Auslander, Reiten, Smalo Representation Theory of Artin Algebras, 492
  • Axler Linear Algebra Done Right, 190

B

  • Babin, Vishik Attractors of Evolution Equations, 527
  • Baker
    • Principles of Geometry, 283
    • Transcendental Number Theory, 382
  • Ballmann, Gromov, Schroeder Manifolds of Nonpositive Curvature, 253
  • Banach Theory of Linear Operations, 163
  • Bannai, Ito Algebraic Combinatorics. I. Association Schemes, 539
  • Bardi, Capuzzo-Dolcetta Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations, 434
  • Barth, Hulek, Peters, Ven Compact Complex Surfaces, 299
  • Bass Algebraic K-theory, 335
  • Baxter Exactly Solved Models in Statistical Mechanics, 511
  • Beardon Iteration of Rational Functions, 531
    • The Geometry of Discrete Groups, 468
  • Beauville Surfaces Algebriques Complexes, 300
  • Beckenbach, Bellman Inequalities, 111
  • Becker, Weispfenning Gröbner Bases. A Computational Approach to Commutative Algebra, 542
  • Bell Men of Mathematics, 42
  • Benedetti, Petronio Lectures on Hyperbolic Geometry, 348
  • Bennett, Sharpley Interpolation of Operators, 157
  • Benson Representations and Cohomology, 336
  • Bensoussan, Lions, Papanicolaou Asymptotic Analysis for Periodic Structures, 417
  • Berge Graphs, 549
  • Bergh, Löfström Interpolation Spaces. An Introduction, 156
  • Berlekamp, Conway, Guy Winning Ways for Your Mathematical Plays, 608
  • Berline, Getzler, Vergne Heat Kernels and Dirac Operators, 262
  • Berman, Plemmons Nonnegative Matrices in the Mathematical Sciences, 193
  • Bertoin Lévy Processes, 569
  • Besicovitch Almost Periodic Functions, 143
  • Besse
    • Einstein Manifolds, 248
    • Manifolds all of Whose Geodesics are Closed, 248
  • Bhatia Matrix Analysis, 193
  • Bhatia, Szegö Stability Theory of Dynamical Systems, 524
  • Biggs Algebraic Graph Theory, 548
  • Billingsley
    • Convergence of Probability Measures, 560
    • Probability and measure, 560
  • Bingham, Goldie, Teugels Regular variation, 94
  • Birkhoff, Ga. Lattice Theory, 200
  • Birkhoff, Ge. Dynamical Systems, 519
  • Birkhoff, Mac Lane A Survey of Modern Algebra, 196
  • Birman Braids, Links, and Mapping Class Groups, 351
  • Bishop, Crittenden Geometry of Manifolds, 236
  • Bix Conics and Cubics, 289
  • Bjorck, Dahlquist Numerical Methods, 612
  • Blair Riemannian Geometry of Contact and Symplectic Manifolds, 292
  • Bochnak, Coste, Roy Real Algebraic Geometry, 290
  • Bohner, Peterson Dynamic Equations on Time Scales, 525
  • Bohr Almost Periodic Functions, 144
  • Bollobás
    • Graph Theory. An Introductory Course, 546
    • Modern Graph Theory, 546
    • Random Graphs, 552
  • Bolza Lectures on the Calculus of Variations, 270
  • Bombieri, Gubler Heights in Diophantine Geometry, 390
  • Bondy, Murty Graph Theory with Applications, 549
  • Borel
    • Essays in the History of Lie Groups and Algebraic Groups, 74
    • Introduction aux groupes arithmétiques, 463
    • Linear Algebraic Groups, 445
  • Borel, Casselman Automorphic Forms, Representations and L-functions, 403
  • Borel, Wallach Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups, 404
  • Borevich, Shafarevich Number Theory, 362
  • Borwein, Erdélyi Polynomials and Polynomial Inequalities, 105
  • Bosch, Güntzer, Remmert Non-Archimedean Analysis. A Systematic Ap­proach to Rigid Analytic Geometry, 393
  • Bosch, Lütkebohmert, Raynaud Néron Models, 393
  • Bott, Tu Differential Forms in Algebraic Topology, 341
  • Bourbaki
    • Commutative Algebra, 220
    • Elements of the History of Mathematics, 63
    • Lie Groups and Lie Algebras, 442
  • Bowen Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, 535
  • Boyd, El Ghaoui, Feron, Balakrishnan Linear Matrix Inequalities in System and Control Theory, 113
  • Boyd, Vandenberghe Convex Optimization, 608
  • Boyer A History of Mathematics, 61
  • Bredon Introduction to Compact Transformation Groups, 475
    • Topology and Geometry, 327
  • Breiman Probability, 557
  • Brenner, Scott The Mathematical Theory of Finite Element Methods, 617
  • Brezis
    • Analyse Fonctionnelle. Théorie et Applications, 184
    • Functional Analysis, Sobolev Spaces and Partial Differential Equations, 184
    • Operateurs Maximaux Monotones et Semi-groupes de Contractions dans les espaces de Hilbert, 185
  • Brezzi, Fortin Mixed and Hybrid Finite Element Methods, 617
  • Bridson, Haefliger Metric Spaces of Non-positive Curvature, 255
  • Brieskorn, Knörrer Plane Algebraic Curves, 298
  • Brocker, tom Dieck Representations of Compact Lie Groups, 492
  • Brouwer, Cohen, Neumaier Distance-regular Graphs, 550
  • Browder Surgery on Simply-connected Manifolds, 352
  • Brown
    • Buildings, 454
    • Cohomology of Groups, 335
  • Bruns, Herzog Cohen-Macaulay Rings, 223
  • Buhler Gauss. A Biographical Study, 53
  • Bump Automorphic Forms and Representations, 404
  • Burago, D., Burago, Y., Ivanov A Course in Metric Geometry, 254
  • Burago, Zalgaller Geometric Inequalities, 112
  • Burde, Zieschang Knots, 329
  • Burnside Theory of Groups of Finite Order, 207
  • Burris, Sankappanavar A Course in Universal Algebra, 203
  • Busemann The Geometry of Geodesics, 240
  • Buser Geometry and Spectra of Compact Riemann Surfaces, 139
  • Byron, Fuller Mathematics of Classical and Quantum Physics, 498

C

  • Caffarelli, Cabrè Fully Nonlinear Elliptic Equations, 429
  • Canary, Epstein, Green Notes on notes of Thurston, 346
  • Canuto, Hussaini, Quarteroni, Zang Spectral Methods in Fluid Dynamics, 432
  • Carleson, Gamelin Complex Dynamics, 531
  • Carslaw, Jaeger Conduction of Heat in Solids, 426
  • Cartan Elementary Theory of Analytic Functions of One or Several Complex Variables, 115
  • Cartan, Eilenberg Homological Algebra, 226
  • Carter
    • Finite Groups of Lie Type. Conjugacy Classes and Complex Characters, 206
    • Simple Groups of Lie Type, 205
  • Cassels
    • An Introduction to Diophantine Approximation, 383
    • An Introduction to the Geometry of Numbers, 373
    • Local Fields, 371
    • Rational Quadratic Forms, 393
  • Cassels, Fröhlich Algebraic Number Theory, 367
  • Casson, Bleiler Automorphisms of Surfaces after Nielsen and Thurston, 347
  • Castaing, Valadier Convex Analysis and Measurable Multifunctions, 310
  • Cercignani The Boltzmann Equation and Its Applications, 510
  • Cercignani, Illner, Pulvirenti The Mathematical Theory of Dilute Gases, 510
  • Cesari
    • Optimization.Theory and Applications. Problems with Ordinary Differential Equations, 610
    • symptotic Behavior and Stability Problems in Ordinary Differential Equations, 409
  • Chang Infinite-dimensional Morse Theory and Multiple Solution Problems, 420
  • Chang, Keisler Model Theory, 591
  • Chavel
    • Eigenvalues in Riemannian Geometry, 261
    • Riemannian Geometry.A Modern Introduction, 237
  • Cheeger, Ebin Comparison Theorems in Riemannian Geometry, 241
  • Chen, Shaw Partial Differential Equations in Several Complex Variables, 125
  • Chern Complex Manifolds Without Potential Theory, 273 Chevalley Theory of Lie Groups. I. , 440
  • Chihara An Introduction to Orthogonal Polynomials, 106
  • Chow, Hale Methods of Bifurcation Theory, 411
  • Chriss, Ginzburg Representation Theory and Complex Geometry, 491
  • Chung
    • A Course in Probability Theory, 556
    • Spectral Graph Theory, 551
  • Church Introduction to Mathematical Logic, 584
  • Ciarlet The Finite Element Method for Elliptic Problems, 620
  • Clarke Optimization and Nonsmooth Analysis, 103
  • Clemens A Scrapbook of Complex Curve Theory, 298
  • Clifford, Preston The Algebraic Theory of Semigroups, 203
  • Coddington, Levinson Theory of Ordinary Differential Equations, 408
  • Cohen, H.
    • A Course in Computational Algebraic Number Theory, 370
    • Advanced Topics in Computational Number Theory, 370
  • Cohen, P. Set Theory and the Continuum Hypothesis, 589
  • Cohn Measure Theory, 98
  • Collet, Eckmann Iterated Maps on the Interval as Dynamical Systems, 522
  • Colton, Kress
    • Integral Equation Methods in Scattering Theory, 517
    • Inverse Acoustic and Electromagnetic Scattering Theory, 419
  • Comtet Advanced Combinatorics. The Art of Finite and Infinite Expansions, 539
  • Conley Isolated Invariant Sets and the Morse Index, 412
  • Connes Noncommutative Geometry, 178
  • Constantin, Foias Navier-Stokes Equations, 434
  • Conway, J.B. A Course in Functional Analysis, 167
  • Conway, J.H. On Numbers and Games, 607
  • Conway, J.H., Burgiel, Goodman-Strauss The Symmetries of Things, 30
  • Conway, J.H., Curtis, Norton, Parker, Wilson Atlas of Finite Groups. Maximal Subgroups and Ordinary Characters for Simple Groups, 212
  • Conway, Sloane Sphere Packings, Lattices and Groups, 545
  • Cormen, Leiserson, Rivest Introduction to Algorithms, 603
  • Cornfeld, Fomin, Sinai Ergodic Theory, 534
  • Corwin, Greenleaf Representations of Nilpotent Lie Groups and Their Applications. Part I. Basic Theory and Examples, 492
  • Courant, Friedrichs Supersonic Flow and Shock Waves, 433
  • Courant, Hilbert Methods of Mathematical Physics. Vol. I., Vol. II., 496
  • Courant, John Introduction to Calculus and Analysis, 83
  • Courant, Robbins What Is Mathematics?, 6
  • Cover, Thomas Elements of Information Theory, 596
  • Cowen, MacCluer Composition Operators on Spaces of Analytic Functions, 155
  • Cox Primes of the Form \(x^2 + ny^2\) Fermat, Class Field Theory and Complex Multiplication, 58
  • Cox, Little, O’Shea
    • Ideals, Varieties, and Algorithms, 224
    • Using Algebraic Geometry, 541
  • Coxeter
    • Introduction to Geometry, 39
    • Projective Geometry, 40
    • Regular Polytopes, 41
  • Coxeter, Greitzer Geometry Revisited, 40
  • Coxeter, Moser Generators and Relations for Discrete Groups, 470
  • Crilly Arthur Cayley, 54
  • Croft, Falconer, Guy Unsolved Problems in Geometry, 110
  • Crowell, Fox Introduction to Knot Theory, 330
  • Csiszár, Körner Information Theory. Coding Theorems for Discrete Memoryless Systems, 597
  • Curtain, Zwart An Introduction to Infinite-dimensional Linear Systems Theory, 528
  • Curtis Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer, 68
  • Curtis, Reiner Methods of Representation Theory, 215
  • Curtis, Reiner Representation Theory of Finite Groups and Associative Algebras, 214
  • Cvetković, Doob, Sachs Spectra of Graphs, 551

D

  • Da Prato, Zabczyk Stochastic Equations in Infinite Dimensions, 572
  • Dacorogna Direct Methods in the Calculus of Variations, 268
  • Dafermos Hyperbolic Conservation Laws in Continuum Physics, 436
  • Dal Maso An Introduction to Γ-convergence, 269
  • Daubechies Ten Lectures on Wavelets, 160
  • Dauben Georg Cantor, 50
  • Davenport
    • Multiplicative Number Theory, 381
    • The Higher Arithmetic. An Introduction to the Theory of Numbers, 361
  • David, Semmes Analysis of and on Uniformly Rectifiable Sets, 101
  • Davies Heat Kernels and Spectral Theory, 262
  • Davis
    • Circulant Matrices, 194
    • The Geometry and Topology of Coxeter Groups, 475
  • Davis, Rabinowitz Methods of Numerical Integration, 614
  • de Azcárraga, Izquierdo Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics, 483
  • de Boor A Practical Guide to Splines, 622
  • de la Harpe Topics in Geometric Group Theory, 470
  • de Melo, van Strien One-dimensional Dynamics, 522
  • Deift Orthogonal Polynomials and Random Matri­ces: a Riemann-Hilbert Approach, 581
  • Deimling Nonlinear Functional Analysis, 185
  • Deligne Cohomologie étale, 391
  • Demazure, Gabriel
    • Groupes algèbriques. Tome I: Géométrie algèbrique, généralités, groupes commutatifs, 447
    • Introduction to Algebraic Geometry and Algebraic Groups, 447
  • Dembo, Zeitouni Large Deviations Techniques and Applications, 574
  • Dembowski Finite Geometries, 457
  • Demidovich Problems in Mathematical Analysis, 108
  • Dereziński, Gérard Scattering Theory of Classical and Quantum N-particle Systems, 515
  • Derksen, Kemper Computational Invariant Theory, 451
  • Deuschel, Stroock Large Deviations, 574
  • Devaney An Introduction to Chaotic Dynamical Systems, 521
  • DeVore, Lorentz Constructive Approximation, 621
  • Dickson History of the Theory of Numbers. I, II, III, 70
  • Diestel Graph Theory, 547
  • Diestel, Jarchow, Tonge Absolutely Summing Operators, 168
  • Diestel, Uhl Vector Measures, 100
  • Dieudonné
    • A History of Algebraic and Differential Topology 1900-1960, 72
    • Foundations of Modern Analysis, 91
  • Dirac General Theory of Relativity, 504
  • Dixmier
    • \(C^{*}\) -algebras, 181
    • von Neumann Algebras, 180
  • Dixon, Mortimer Permutation Groups, 210
  • do Carmo
    • Differential Geometry of Curves and Surfaces, 237
    • Riemannian Geometry, 237
  • Dolgachev Lectures on Invariant Theory, 294
  • Donaldson, Kronheimer The Geometry of Four-manifolds, 350
  • Doob
    • Classical Potential Theory and Its Probabilistic Counterpart, 565
    • Stochastic Processes, 565
  • Doyle, Snell Random Walks and Electric Networks, 563
  • Drake, Singh Intermediate Set Theory, 587
  • Du Sautoy Symmetry: A Journey into the Patterns of Nature, 28
  • Dubrovin, Fomenko, Novikov Modern Geometry.Methods and Applications, 238
  • Dudley Real Analysis and Probability, 560
  • Dugundji Topology, 320
  • Dunford, Schwartz Linear Operators, 175
  • Dunham Euler: the Master of Us All, 54
  • Duoandikoetxea Fourier Analysis, 142
  • Duren Theory of Hp Spaces, 153
  • Durrett Probability: Theory and Examples, 558
  • Duvaut, Lions Inequalities in Mechanics and Physics, 114
  • Dym, McKean Fourier Series and Integrals, 143

E

  • Edwards Riemann’s Zeta Function, 375
  • Eichler, Zagier The Theory of Jacobi Forms, 405
  • Eilenberg Automata, Languages, and Machines, 603
  • Eilenberg, Steenrod Foundations of Algebraic Topology, 325
  • Einstein The Meaning of Relativity, 503
  • Eisenbud Commutative Algebra. With a View Toward Algebraic Geometry, 221
  • Eisenhart Riemannian Geometry, 239
  • Ekeland, Témam Convex Analysis and Variational Problems, 310
  • Ellis Entropy, Large Deviations, and Statistical Mechanics, 574
  • Engel, Nagel One-parameter Semigroups for Linear Evolution Equations, 176
  • Engelking General Topology, 320
  • Engl, Hanke, Neubauer Regularization of Inverse Problems, 419
  • Enriques Le Superficie Algebriche, 301
  • Epstein, Cannon, Holt, Levy, Paterson, Thurston Word Processing in Groups, 471
  • Erdélyi, Magnus, Oberhettinger, Tricomi Higher Transcendental Functions, 86
  • Ethier, Kurtz Markov Processes, 571
  • Evans Partial Differential Equations, 413
  • Evans, Gariepy Measure Theory and Fine Properties of Functions, 99
  • Eves An Introduction to the History of Mathematics, 62

F

  • Faddeev, Takhtajan Hamiltonian Methods in the Theory of Solitons, 517
  • Falconer
    • Fractal Geometry. Mathematical Foundations and Applications, 270
    • The Geometry of Fractal Sets, 271
  • Faltings, Chai Degeneration of Abelian Varieties, 387
  • Faraut, Korányi Analysis on Symmetric Cones, 257
  • Farkas, Kra Riemann Surfaces, 131
  • Federer Geometric Measure Theory, 265
  • Feit The Representation Theory of Finite Groups, 213 Feller An Introduction to Probability Theory and its Applications, 555
  • Fenchel, Nielsen Discontinuous Groups of Isometries in the Hyperbolic Plane, 468
  • Feynman,Leighton,Sands The Feynman Lectures on Physics, 502
  • Field, Golubitsky Symmetry in Chaos. A Search for Pattern in Mathematics, Art, and Nature, 31
  • Fine Basic Hypergeometric Series and Applications, 406
  • Fleming, Soner Controlled Markov Processes and Viscosity Solutions, 566
  • Fletcher, Markovic Quasiconformal Maps and Teichmüller Theory, 138
  • Folland
    • Harmonic Analysis in Phase Space, 160
    • Real Analysis. Modern Techniques and Their Applications, 92
  • Forster Lectures on Riemann Surfaces, 131
  • Forsythe, Wasow Finite-difference Methods for Partial Differential Equations, 618
  • Fraleigh A First Course in Abstract Algebra, 200
  • Frankel The Geometry of Physics, 239
  • Frenkel, Lepowsky, Meurman Vertex Operator Algebras and the Monster, 481
  • Fricke, Klein
    • Vorlesungen über die Theorie der elliptischen Modulfunctionen, 397
    • Vorlesungen uber die Theorie der automorphen Funktionen, 396
  • Fried, Jarden Field Arithmetic, 394
  • Friedman Partial Differential Equations of Parabolic Type, 426
  • Fuchs Infinite Abelian Groups, 473
  • Fukushima, Oshima, Takeda Dirichlet Forms and Symmetric Markov Processes, 561
  • Fulton
    • Algebraic Curves. An Introduction to Algebraic Geometry, 288
    • Intersection Theory, 302
    • Introduction to Intersection Theory in Algebraic Geometry, 304
    • Introduction to Toric Varieties, 307
    • Young Tableaux, 486
  • Fulton, Harris Representation Theory. A first Course, 489
  • Furstenberg Recurrence in Ergodic Theory and Combinatorial Number Theory, 536

G

  • Galdi An Introduction to the Mathematical Theory of the Navier-Stokes Equations, 434
  • Gallot, Hulin, Lafontaine Riemannian Geometry, 238
  • Gantmacher The Theory of Matrices, 192
  • Garcia-Cuerva, Rubio de Francia Weighted Norm Inequalities and Related Topics, 113
  • Gardiner Teichmüller Theory and Quadratic Differentials, 137
  • Gardiner, Lakic Quasiconformal Teichmüller Theory, 138
  • Gardner Geometric Tomography, 312
  • Garey, Johnson Computers and Intractability, 602
  • Garnett Bounded Analytic Functions, 152
  • Garnett, Marshall Harmonic Measure, 153
  • Garrett Buildings and Classical Groups, 455
  • Gasper, Rahman Basic Hypergeometric Series, 405
  • Geck An Introduction to Algebraic Geometry and Algebraic Groups, 449
  • Gelbart Automorphic Forms on Adéle Groups, 401
  • Gelbaum, Olmsted Counterexamples in Analysis, 96
  • Gelfand Lectures on Linear Algebra, 188
  • Gelfand, Fomin Calculus of Variations, 268
  • Gelfand, Graev, Pyatetskii-Shapiro Representation Theory and Automorphic Functions, 172, 399
  • Gelfand, Kapranov, Zelevinsky Discriminants, Resultants, and Multidimensional Determinants, 308
  • Gelfand, Manin Methods of Homological Algebra, 229
  • Gelfand, Shilov, Vilenkin, Graev Generalized Functions, 172
  • Gelfond Transcendental and Algebraic Numbers, 383
  • George, Askey, Roy Special Functions, 87
  • Georgii Gibbs Measures and Phase Transitions, 510
  • Giaquinta Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, 269
  • Gilbarg, Trudinger Elliptic Partial Differential Equations of Second Order, 421
  • Gilkey Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, 263
  • Gillman, Jerison Rings of Continuous Functions, 183
  • Girault, Raviart Finite Element Methods for Navier-Stokes Equations, 619
  • Giusti Minimal Surfaces and Functions of Bounded Variation, 252
  • Glimm, Jaffe Quantum Physics. A Functional Integral Point of View, 511
  • Gödel The Consistency of the Continuum Hypothesis, 589
  • Godement Topologie algèbrique et théorie des faisceaux, 127
  • Godsil, Royle Algebraic Graph Theory, 550
  • Goebel, Kirk Topics in Metric Fixed Point Theory, 321
  • Gohberg, Krein Introduction to the Theory of Linear Nonselfadjoint Operators, 170
  • Goldman Complex Hyperbolic Geometry, 468
  • Goldstein, Poole, Safko Classical Mechanics, 513
  • Golub, Van Loan Matrix Computations, 613
  • Golubitsky, Guillemin Stable Mappings and Their Singularities, 341
  • Golumbic Algorithmic Graph Theory and Perfect Graphs, 551
  • Goluzin Geometric Theory of Functions of a Complex Variable, 121
  • Gompf, Stipsicz 4-manifolds and Kirby Calculus, 350
  • Goodman, Wallach
    • Representations and Invariants of the Classical Groups, 488
    • Symmetry, Representations, and Invariants, 489
  • Gorenstein Finite Groups, 208
  • Gorenstein, Lyons, Solomon The Classiffication of the Finite Simple Groups, 211
  • Goresky, MacPherson Stratified Morse theory, 343
  • Goursat A Course in Mathematical Analysis, 81
  • Gowers, Barrow-Green, Leader The Princeton Companion to Mathematics, 14
  • Graham, Knuth, Patashnik Concrete Mathematics. A Foundation for Computer Science, 595
  • Granas, Dugundji Fixed Point Theory, 321
  • Gratzer General Lattice Theory, 201
  • Grauert, Remmert Coherent Analytic Sheaves, 126
  • Greenleaf Invariant Means on Topological Groups and Their Applications, 536
  • Griffiths, Harris Principles of Algebraic Geometry, 286
  • Grimmett Percolation, 577
  • Grisvard Elliptic Problems in Nonsmooth Domains, 422
  • Grochenig Foundations of Time-frequency Analysis, 144
  • Gromov
    • Metric Structures for Riemannian and Non-Riemannian Spaces, 253
    • Asymptotic Invariants of Infinite Groups. Geometric Group Theory, 471
    • Partial Differential Relations, 264
  • Grothendieck The Éléments de géométrie algèbrique, 279
  • Grotschel, Lovász, Schrijver Geometric Algorithms and Combinatorial Optimization, 609
  • Gruber Convex and Discrete Geometry, 311
  • Gruber, Lekkerkerker Geometry of Numbers, 373
  • Grunbaum Convex Polytopes, 540
  • Grunbaum, Shephard
    • Tilings and Patterns, 31
    • Tilings and Patterns. An Introduction, 32
  • Guckenheimer, Holmes Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 524
  • Guillemin, Pollack Differential Topology, 341
  • Guillemin, Sternberg
    • Geometric Asymptotics, 416
    • Symplectic Techniques in Physics, 290
  • Gunning Introduction to Holomorphic Functions of Several Variables, 124
  • Gunning, Rossi Analytic Functions of Several Complex Variables, 123
  • Guy Unsolved Problems in Number Theory, 109

H

  • Hairer, Norsett, Wanner Solving Ordinary Differential Equations, 615
  • Halberstam, Richert Sieve Methods, 379
  • Hale
    • Asymptotic Behavior of Dissipative Systems, 526
    • Theory of Functional Differential Equations, 530
  • Hale, Verduyn Lunel Introduction to Functional-differential Equations, 530
  • Hall The Theory of Groups, 209
  • Hall, Heyde Martingale Limit Theory and its Application, 569
  • Halmos
    • A Hilbert Space Problem Book, 169
    • Finite-dimensional Vector Spaces, 189
    • I Want to Be a Mathematician. An Automathography in Three Parts, 22
    • Measure Theory, 97
    • Naive Set Theory, 587
  • Harary Graph Theory, 548
  • Hardy
    • A Course of Pure Mathematics, 80
    • A Mathematician’s Apology, 19
    • Divergent Series, 94
  • Hardy, Littlewood, Pólya Inequalities, 110
  • Hardy, Wright An Introduction to the Theory of Numbers, 356
  • Hargittai, I., Hargittai, M.
    • Symmetry Through the Eyes of a Chemist, 35
    • Symmetry: A Unifying Concept, 36
  • Harris Algebraic Geometry. A First Course, 287
  • Harris, Morrison Moduli of Curves, 296
  • Hartman Ordinary Differential Equations, 409
  • Hartshorne Algebraic Geometry, 285
  • Hasse Number Theory, 362
  • Hatcher Algebraic Topology, 326
  • Hawking, Ellis The Large Scale Structure of Space-time, 506
  • Hawkins Emergence of the Theory of Lie Groups. An Essay in the History of Mathematics 1869- 1926, 73
  • Hayman Meromorphic Functions, 122
  • Haynes, Hedetniemi, Slater Fundamentals of Domination in Graphs, 550
  • Hecke Lectures on the Theory of Algebraic Numbers, 366
  • Heinonen Lectures on Analysis on Metric Spaces, 100
  • Heinonen, Kilpel¨ainen, Martio Nonlinear Potential Theory of Degenerate Elliptic Equations, 151
  • Helgason
    • Differential Geometry and Symmetric Spaces, 256
    • Differential Geometry, Lie Groups, and Symmetric Spaces, 256
    • Geometric Analysis on Symmetric Spaces, 257
  • Hempel 3-manifolds, 349
  • Henrici Applied and Computational Complex Analysis, 119
  • Henry Geometric Theory of Semilinear Parabolic Equations, 425
  • Herstein Topics in Algebra, 200
  • Hewitt, Ross Abstract Harmonic Analysis, 145
  • Hilbert
    • The Theory of Algebraic Number Fields, 365
    • Theory of Algebraic Invariants, 450
  • Hilbert, Cohn-Vossen Geometry and the Imagination, 37
  • Hille, Phillips Functional Analysis and Semi-groups, 177
  • Hiller Geometry of Coxeter Groups, 474
  • Hindry, Silverman Diophantine Geometry. An Introduction, 389
  • Hiriart-Urruty, Lemaréchal Convex Analysis and Minimization Algorithms, 607
  • Hirsch Differential Topology, 340
  • Hirsch, Smale Differential Equations, Dynamical Systems, and Linear Algebra, 411
  • Hirschfeld Projective Geometries Over Finite Fields, 456
  • Hirschfeld, Thas General Galois Geometries, 456
  • Hirzebruch Topological Methods in Algebraic Geometry, 289
  • Hodge The Theory and Applications of Harmonic Integrals, 342
  • Hodge, Pedoe Methods of Algebraic Geometry, 282
  • Hodges A. Alan Turing: the Enigma, 47
  • Hodges W. Model Theory, 592
  • Hofer, Zehnder Symplectic Invariants and Hamiltonian Dynamics, 292
  • Hoffman P. The Man Who Loved Only Numbers, 49
  • Hoffman, K. Banach Spaces of Analytic Functions, 154
  • Hofstadter Gödel, Escher, Bach: an Eternal Golden Braid, 585
  • Hopcroft, Ullman Introduction to Automata Theory, Languages, and Computation, 603
  • Hopf Differential Geometry in the Large, 234
  • Hörmander
    • An Introduction to Complex Analysis in Several Variables, 272
    • Lectures on Nonlinear Hyperbolic Differential Equations, 415
    • Linear Partial Differential Operators, 414
    • Notions of Convexity, 415
    • The Analysis of Linear Partial Differential Operators. I-IV, 414
  • Horn, Johnson
    • Matrix Analysis, 191
    • Topics in Matrix Analysis, 192
  • Householder The Theory of Matrices in Numerical Analysis, 613
  • Hovey Model Categories, 337
  • Howie Fundamentals of Semigroup Theory, 204
  • Hsiang Cohomology Theory of Topological Transformation Groups, 476
  • Hua
    • Additive Theory of Prime Numbers, 380
    • Introduction to Number Theory, 358
  • Hubbard Teichmüller Theory and Applications to Geometry, Topology, and Dynamics, 137
  • Hughes Random Walks and Random Environments,
  • Humphreys
    • Introduction to Lie Algebras and Representation Theory, 443
    • Linear Algebraic Groups, 446
    • Reflection Groups and Coxeter Groups, 474
  • Huppert Endliche Gruppen. I., 210
  • Huppert, Blackburn Finite groups. II, III, 210
  • Hurewicz, Wallman Dimension Theory, 322
  • Huybrechts Complex Geometry. An Introduction, 274
  • Huybrechts, Lehn The Geometry of Moduli Spaces of Sheaves, 295

I

  • Ikeda, Watanabe Stochastic Differential Equations and Diffusion Processes, 572
  • Imayoshi, Taniguchi An Introduction to Teichmüller Spaces, 136
  • Ince Ordinary Differential Equations, 410
  • Ireland, Rosen A Classical Introduction to Modern Number Theory, 359
  • Isaacs Character Theory of Finite Groups, 214
  • Isakov Inverse Problems for Partial Differential Equations, 418
  • Ito, McKean Diffusion Processes and their Sample Paths, 567
  • Ivic The Riemann Zeta-function, 375
  • Iwaniec Topics in Classical Automorphic Forms, 402
  • Iwaniec, Kowalski Analytic Number Theory, 378

J

  • Jaco Lectures on Three-manifold Topology, 349
  • Jacobson
    • Basic Algebra, 198
    • Lie Algebras, 445
  • Jacod, Shiryaev Limit Theorems for Stochastic Processes, 568
  • Jacquet, Langlands Automorphic Forms on GL(2), 400
  • James, Kerber The Representation Theory of the Symmetric Group, 486
  • Janson, Svante, Luczak, Rucinski Random Graphs, 552
  • Jantzen Representations of Algebraic Groups, 452
  • Jech Set Theory, 588
  • Jikov, Kozlov, Oleinik Homogenization of Differential Operators and Integral Functionals, 579
  • John Partial Differential Equations, 416
  • Jost Riemannian Geometry and Geometric Analysis, 260
  • Joyce Compact Manifolds with Special Holonomy, 249
  • Jurdjevic Geometric Control Theory, 431

K

  • Kac, M.
    • Enigmas of Chance, 25
    • Statistical Independence in Probability, Analysis and Number Theory, 557
  • Kac, M., Ulam Mathematics and Logic, 10
  • Kac, V. Infinite-dimensional Lie Algebras, 479
  • Kadison, Ringrose Fundamentals of the Theory of Operator Algebras, 182
  • Kahane Some Random Series of Functions, 577
  • Kailath Linear Systems, 528
  • Kallenberg Foundations of Modern Probability, 558
  • Kanigel The Man Who Knew Infinity. A Life of the Genius Ramanujan, 49
  • Kapovich Hyperbolic Manifolds and Discrete Groups, 348
  • Karatsuba, Voronin The Riemann Zeta-function, 376
  • Karatzas, Shreve
    • Brownian Motion and Stochastic Calculus, 572
    • Methods of Mathematical Finance, 573
  • Karoubi K-theory. An Introduction, 334
  • Kashiwara, Schapira Sheaves on Manifolds, 127
  • Kassel Quantum Groups, 480
  • Kato Perturbation Theory for Linear Operators, 428
  • Katok, Hasselblatt Introduction to the Modern Theory of Dynamical Systems, 520
  • Katz A History of Mathematics. An Introduction, 60
  • Katz, Sarnak Random Matrices, Frobenius Eigenvalues, and Monodromy, 581
  • Katznelson An Introduction to Harmonic Analysis, 141
  • Kechris Classical Descriptive Set Theory, 588
  • Kelley General Topology, 319
  • Kempf, Knudsen, Mumford, Saint-Donat Toroidal Embeddings. I, 307
  • Khinchin
    • Continued Fractions, 364
    • Three Pearls of Number Theory, 363
  • Kinderlehrer, Stampacchia An Introduction to Variational Inequalities and Their Applications, 417
  • Kirby, Siebenmann Foundational Essays on Topological Manifolds, Smoothings, and Triangulations, 353
  • Klee, Wagon Old and New Unsolved Problems in Plane Geometry and Number Theory, 18
  • Kleene Mathematical Logic, 590
  • Klein
    • Development of Mathematics in the 19th Century, 76
    • Lectures on Mathematics, 77
    • Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree, 398
  • Klimek Pluripotential Theory, 150
  • Kline Mathematical Thought from Ancient to Modern Times, 65
  • Klingenberg Riemannian Geometry, 242
  • Kloeden, Platen Numerical Solution of Stochastic Differential Equations, 616
  • Knapp
    • Lie Groups Beyond an Introduction, 444
    • Representation Theory of Semisimple Groups. An Overview Based on Examples, 490
  • Knopp Theory of Functions, 118
  • Knuth The Art of Computer Programming, 595
  • Kobayashi
    • Differential Geometry of Complex Vector Bundles, 249
    • Hyperbolic Complex Spaces, 275
    • Hyperbolic Manifolds and Holomorphic Mappings, 275
    • Transformation Groups in Differential Geometry, 476
  • Kobayashi, Nomizu Foundations of Differential Geometry, 245
  • Koblitz p-adic Numbers, p-adic Analysis, and Zeta-functions, 360
  • Kodaira Complex Manifolds and Deformation of Complex Structures, 273
  • Kolchin Differential Algebra and Algebraic Groups, 460
  • Kollár Rational Curves on Algebraic Varieties, 296
  • Kollár, Mori Birational Geometry of Algebraic Varieties, 297
  • Kolmogorov Foundations of the Theory of Probability, 554
  • Kolmogorov, Fomin Elements of the Theory of Functions and Functional Analysis, 164
  • Komornik Exact Controllability and Stabilization, 528
  • Korner
    • Fourier Analysis, 11
    • The Pleasures of Counting, 10
  • Kosmann-Schwarzbach The Noether Theorems. Invariance and Conservation Laws in the Twentieth Century, 35
  • Krantz Function Theory of Several Complex Variables, 125
  • Kuang Delay Differential Equations with Applications in Population Dynamics, 525
  • Kuipers, Niederreiter Uniform Distribution of Sequences, 561
  • Kunen Set Theory. An Introduction to Independence Proofs, 590
  • Kunita Stochastic Flows and Stochastic Differential Equations, 573
  • Kuratowski Topology, 318
  • Kurosh The Theory of Groups, 209

L

  • Ladyenskaja, Solonnikov, Uralceva Linear and Quasilinear Equations of Parabolic Type, 426
  • Ladyzhenskaya The Mathematical Theory of Viscous Incompressible Flow, 435
  • Ladyzhenskaya, Uraltseva Linear and Quasilinear Elliptic Equations, 423
  • Lakshmikantham, Bainov, Simeonov Theory of Impulsive Differential Equations, 417
  • Lam Introduction to Quadratic Forms Over Fields, 391
  • Lamb Hydrodynamics, 437
  • Lancaster, Tismenetsky The Theory of Matrices, 193
  • Landau, Lifshitz Course of Theoretical Physics, 499
  • Landkof Foundations of Modern Potential Theory, 149
  • Lang
    • Algebra, 197
    • Algebraic Number Theory, 368
    • Cyclotomic Fields, 369
    • Elliptic Functions, 386
    • Fundamentals of Diophantine Geometry, 389
    • Introduction to Modular Forms, 401
  • Lange, Birkenhake Complex Abelian Varieties, 388
  • Langlands
    • Base Change for GL(2), 403
    • On the Functional Equations Satisfied by Eisenstein Series, 402
  • Lawler Intersections of Random Walks, 564
  • Lawson, Michelsohn Spin Geometry, 247
  • Lax
    • Functional analysis, 165
    • Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, 433
  • Lazarsfeld Positivity in Algebraic Geometry, 305
  • Lebedev Special Functions and Their Applications, 89
  • Lederman, Hill Symmetry and the Beautiful Universe, 34
  • Ledoux, Talagrand Probability in Banach Spaces. Isoperimetry and Processes, 562
  • Lee Riemannian Manifolds. An Introduction to Curvature, 236
  • Lefschetz Algebraic Topology, 319
  • Lehner Discontinuous Groups and Automorphic Functions, 398
  • Lehto Univalent Functions and Teichmüller Spaces, 135
  • Lehto, Virtanen Quasiconformal Mappings in the Plane, 133
  • Lickorish An Introduction to Knot Theory, 330
  • Lidl, Niederreiter Finite Fields, 359
  • Lieb, Loss Analysis, 93
  • Lifshitz,Pitaevskii Course of Theoretical Physics, 501
  • Liggett
    • Interacting Particle Systems, 579
    • Stochastic Interacting Systems: Contact, Voter and Exclusion Processes, 579
  • Lind, Marcus An Introduction to Symbolic Dynamics and Coding, 523
  • Lindenstrauss, Tzafriri Classical Banach Spaces, 167
  • Lions
    • Mathematical Topics in Fluid Mechanics, 435
    • Quelques méthodes de résolution des problèmes aux limites non linéaires, 430
  • Littlewood Littlewood’s Miscellany, 21
  • Loève Probability Theory, 556
  • Loday Cyclic Homology, 231
  • Lojasiewicz Introduction to Complex Analytic Geometry, 126
  • Lorentz, Golitschek, Makovoz Constructive Approximation. Advanced Problems, 621
  • Lovász Combinatorial Problems and Exercises, 544
  • Lubotzky Discrete Groups, Expanding Graphs and Invariant Measures, 467
  • Lueck L2-invariants: Theory and Applications to Geometry and K-theory, 478
  • Lunardi Analytic Semigroups and Optimal Regularity in Parabolic Problems, 178
  • Lusztig Introduction to Quantum Groups, 480
  • Lyndon, Schupp Combinatorial Group Theory, 470

M

  • Mac Lane
    • Categories for the Working Mathematician, 230
    • Homology, 227
  • Macdonald Symmetric Functions and Hall Polynomials, 484
  • Mackey Unitary Group Representations in Physics, Probability, and Number Theory, 497
  • MacLane, Birkhoff Algebra, 197
  • MacWilliams, Sloane The Theory of Error-correcting Codes, 600
  • Magnus Noneuclidean Tesselations and Their Groups, 397
  • Majid Foundations of Quantum Group Theory, 480
  • Malliavin Stochastic Analysis, 575
  • Mandelbrot The Fractal Geometry of Nature, 271
  • Mane Ergodic Theory and Differentiable Dynamics, 535
  • Manin
    • A Course in Mathematical Logic, 590
    • Cubic Forms. Algebra, Geometry, Arithmetic, 394
  • Marchenko Sturm Liouville Operators and Applications, 516
  • Marcus Number Fields, 367
  • Marden Outer Circles. An Introduction to Hyperbolic 3-manifolds, 348
  • Margulis Discrete Subgroups of Semisimple Lie Groups, 466
  • Marker Model theory. An Introduction, 592
  • Markushevich Theory of Functions of a Complex Variable, 120
  • Marsden, Ratiu Introduction to Mechanics and Symmetry. A Basic Exposition of Classical Mechanical Systems, 501
  • Marshall, Olkin Inequalities: Theory of Majorization and Its Applications, 112
  • Maskit Kleinian Groups, 469
  • Maslov, Fedoriuk Semiclassical Approximation in Quantum Mechanics, 416
  • Matousek Lectures on Discrete Geometry, 540
  • Matsumura
    • Commutative Algebra, 221
    • Commutative Ring Theory, 222
  • Mattila Geometry of Sets and Measures in Euclidean Spaces. Fractals and Rectifiability, 266
  • Mawhin, Willem Critical Point Theory and Hamiltonian Systems, 420
  • May Simplicial Objects in Algebraic Topology, 328
  • Maz’ja Sobolev Spaces, 427
  • McCleary User’s Guide to Spectral Sequences, 230
  • McConnell, Robson Noncommutative Noetherian Rings, 224
  • McDuff, Salamon
    • J-holomorphic Curves and Symplectic Topology, 291
    • Introduction to Symplectic Topology, 291
  • McKean Stochastic Integrals, 567
  • McMullen
    • Complex Dynamics and Renormalization, 532
    • Renormalization and 3-manifolds Which Fiber Over the Circle, 532
  • McWeeny Symmetry: An Introduction to Group Theory and Its Applications, 30
  • Mehta Random Matrices, 580
  • Melrose The Atiyah-Patodi-Singer Index Theorem, 424
  • Meyer, Coifman Wavelets and Operators, 161
  • Meyn, Tweedie Markov Chains and Stochastic Stability, 566
  • Milman, Schechtman Asymptotic Theory of Finite-dimensional Normed Spaces, 313
  • Milne Étale Cohomology, 390
  • Milnor
    • Dynamics in One Complex Variable. Introductory Lectures, 531
    • Introduction to Algebraic K-theory, 334
    • Lectures on the h-cobordism Theorem, 339
    • Morse Theory, 339
    • Singular Points of Complex Hypersurfaces, 289
    • Topology from the Differentiable Viewpoint, 340
  • Milnor, Stasheff Characteristic Classes, 324
  • Misner, Thorne, Wheeler Gavitation, 507
  • Mitrinović Analytic Inequalities, 111
  • Miyake Modular Forms, 401
  • Moeglin, Waldspurger Spectral Decomposition and Eisenstein Series. Une paraphrase de l’Écriture, 403
  • Monastyrsky Riemann, Topology, and Physics, 52
  • Montgomery, D., Zippin Topological Transformation Groups, 477
  • Montgomery, H. Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis, 378
  • Montgomery, H., Vaughan Multiplicative Number Theory. I. Classical Theory, 381
  • Montgomery, R. A Tour of Subriemannian Geometries, Their Geodesics and Applications, 247
  • Montgomery, S. Hopf Algebras and Their Actions on Rings, 481
  • Moore Foundations of Point Set Theory, 319
  • Morgan Geometric Measure Theory, A Beginner’s Guide, 267
  • Morrey Multiple Integrals in the Calculus of Variations, 267
  • Morrow, Kodaira Complex Manifolds, 274
  • Morse The Calculus of Variations in the Large, 339
  • Moschovakis Descriptive Set Theory, 588
  • Moser Stable and Random Motions in Dynamical Systems, 519
  • Mostow Strong Rigidity of Locally Symmetric Spaces, 464
  • Motohashi Spectral Theory of the Riemann Zeta-function, 376
  • Mukai An Introduction to Invariants and Moduli, 295
  • Mumford
    • Abelian Varieties, 387
    • Algebraic Geometry. I, 284
    • Lectures on Curves on an Algebraic Surface, 302
    • Tata Lectures on Theta, 387
    • The Red book of Varieties and Schemes, 283
  • Mumford, Fogarty, Kirwan Geometric Invariant Theory, 293
  • Mumford, Series, Wright Indra’s Pearls, 36
  • Munkres
    • Elements of Algebraic Topology, 327
    • Topology: A First Course, 327
  • Murray Mathematical Biology, 526

N

  • Nadler Continuum Theory. An Introduction, 320
  • Nag The Complex Analytic Theory of Teichmüller Spaces, 135
  • Nagata
    • Local Rings, 223
    • Modern Dimension Theory, 322
  • Nakajima Lectures on Hilbert Schemes of Points on Surfaces, 294
  • Nathanson Additive Number Theory. Inverse Problems and the Geometry of Sumsets, 380
  • Necas Les méthodes directes en théorie des équations elliptiques, 421
  • Nehari Conformal Mapping, 121
  • Neugebauer A History of Ancient Mathematical Astronomy, 70
  • Neukirch Algebraic Number Theory, 369
  • Neukirch, Schmidt, Wingberg Cohomology of Number Fields, 372
  • Newman The World of Mathematics. Vols. I-IV, 66
  • Newstead Introduction to Moduli Problems and Orbit Spaces, 293
  • Nielsen, Chuang Quantum Computation and Quantum Information, 597
  • Nocedal, Wright Numerical Optimization, 609
  • Novikov, Manakov, Pitaevskii, Zakharov Theory of Solitons. The Inverse Scattering Method, 515
  • Nualart The Malliavin Calculus and Related Topics, 575

O

  • O’Meara Introduction to Quadratic Forms, 392
  • O’Neill Semi-Riemannian Geometry, 246
  • Oda Convex Bodies and Algebraic Geometry, 306
  • Olver, F. Asymptotics and Special Functions, 88
  • Olver, P.
    • Applications of Lie Groups to Differential Equations, 461
    • Classical Invariant Theory, 451
    • Equivalence, Invariants, and Symmetry, 462
  • Onishchik, Vinberg Lie Groups and Algebraic Groups, 443
  • Orlik, Terao Arrangements of Hyperplanes, 344
  • Ortega, Rheinboldt Iterative Solution of Nonlinear Equations in Several Variables , 616
  • Oxley Matroid Theory, 542

P

  • Paley, Wiener Fourier Transforms in the Complex Domain, 143
  • Papadimitriou Computational Complexity, 604
  • Parshall, Rowe The Emergence of the American Mathematical Research Community, 1876-1900, 71
  • Passman The Algebraic Structure of Group Rings, 217
  • Payne, Thas Finite Generalized Quadrangles, 456
  • Pazy Semigroups of Linear Operators and Applica­tions to Partial Differential Equations, 176
  • Pedersen \(C^{*}\)-algebras and Their Automorphism Groups, 182
  • Penrose The Road to Reality. A complete Guide to the Laws of the Universe, 508
  • Perko Differential equations and dynamical systems, 522
  • Pesin Dimension Theory in Dynamical Systems, 323
  • Petersen, K. Ergodic Theory, 534
  • Petersen, P. Riemannian Geometry, 241
  • Petkovsek, Wilf, Zeilberger A = B, 599
  • Petrovski Ordinary Differential Equations, 409
  • Phillips Scattering Theory for Automorphic Functions, 402
  • Pierce Associative Algebras, 215
  • Pisier The Volume of Convex Bodies and Banach Space Geometry, 313
  • Platonov, Rapinchuk Algebraic Groups and Number Theory, 448
  • Podlubny Fractional Differential Equations, 95
  • Pólya How to Solve it. A New Aspect of Mathematical Method, 15
    • Mathematical Discovery. On Understanding, Learning, and Teaching Problem Solving, 17
    • Mathematics and Plausible Reasoning, 16
  • Pólya,Szegö
    • Isoperimetric Inequalities in Mathematical Physics, 263
    • Problems and Theorems in Analysis, 104
  • Pommerenke Boundary Behaviour of Conformal Maps, 123
  • Pontryagin Topological Groups, 145
  • Pressley, Segal Loop Groups, 479
  • Protter, Weinberger Maximum Principles in Differential Equations, 422

R

  • Rabinowitz Minimax Methods in Critical Point Theory with Applications to Differential Equations, 419
  • Rademacher, Toeplitz The Enjoyment of Mathematics; Selections from Mathematics for the Amateur, 8
  • Raghunathan Discrete Subgroups of Lie Groups, 464
  • Ransford Potential Theory in the Complex Plane, 150
  • Ratcliffe Foundations of Hyperbolic Manifolds, 348
  • Ravenel Complex Cobordism and Stable Homotopy Groups of Spheres, 332
  • Reed, Simon Methods of Modern Mathematical Physics, 514
  • Reid
    • Julia. A Life in Mathematics, 45
    • Courant in Göttingen and New York, 45
    • Hilbert, 44
    • Neyman. From Life, 45
    • The Search for E.T. Bell, 45
  • Reiner Maximal Orders, 217
  • Remmert
    • Classical Topics in Complex Function Theory, 117
    • Theory of Complex Functions, 116
  • Revuz, Yor Continuous Martingales and Brownian Motion, 568
  • Richardson, Urbanke Modern Coding Theory, 601
  • Richtmyer, Morton Difference Methods for Initial-value Problems, 619
  • Riesz, Sz.-Nagy Functional Analysis, 164
  • Ritt Differential Algebra, 460
  • Roberts, Varberg Convex Functions, 311
  • Robinson, A. Non-standard Analysis, 593
  • Robinson, D. A Course in the Theory of Groups, 210
  • Rockafellar Convex Analysis, 309
  • Rockafellar, Wets Variational analysis, 101
  • Rogers
    • Hausdorff Measures, 99
    • Packing and Covering, 373
    • Theory of Recursive Functions and Effective Computability, 594
  • Rolfsen Knots and Links, 328
  • Ronan
    • Lectures on Buildings, 454
    • Symmetry and the Monster. One of the Greatest Quests of Mathematics, 32
  • Rosen, J.
    • Symmetry Discovered: Concepts and Applications in Nature and Science, 29
    • Symmetry in Science. An Introduction to the General Theory, 30
    • Symmetry Rules. How Science and Nature Are Founded on Symmetry, 30
  • Rosen, M. Number Theory in Function Fields, 359
  • Rosenberg Algebraic K-theory and Its Applications, 334
  • Ross Introduction to Probability Models, 559
  • Rotman An Introduction to Homological Algebra, 228
  • Rourke, Sanderson Introduction to Piecewise-linear Topology, 351
  • Rudin
    • Function Theory in the Unit Ball of Cn,90
    • Functional Analysis, 166
    • Real and Complex Analysis, 90
    • The Way I Remember It, 26
  • Ruelle
    • Statistical Mechanics: Rigorous Results, 509
    • Thermodynamic Formalism. The Mathemat­ical Structures of Classical Equilibrium Statistical Mechanics, 510
  • Russell Introduction to Mathematical Philosophy, 586

S

  • Saad Iterative Methods for Sparse Linear Systems, 614
  • Sachs, Wu General Relativity for Mathematicians, 505
  • Sagan The Symmetric Group. Representations, Combinatorial Algorithms, and Symmet­ric Functions, 487
  • Sakai \(C^{*}\)-algebras and W -algebras, 181
  • Salsburg The Lady Tasting Tea. How Statistics Revolutionized Science in the Twentieth Century, 45
  • Samko, Kilbas, Marichev Fractional Integrals and Derivatives. Theory and Applications, 95
  • Samorodnitsky, Taqqu Stable non-Gaussian Random Processes, 570
  • Santaló Integral Geometry and Geometric Probability, 251
  • Sarnak Some Applications of Modular Forms, 467
  • Sato Lévy Processes and Infinitely Divisible Distributions, 569
  • Schaefer
    • Banach Lattices and Positive Operators, 202
    • Topological Vector Spaces, 168
  • Scharlau Quadratic and Hermitian Forms, 392
  • Scharlau, Opolka From Fermat to Minkowski. Lectures on the Theory of Numbers and its Historical Development, 59
  • Schechter My Brain is Open. The Mathematical Journeys of Paul Erd˝os, 48
  • Schneider Convex Bodies: the Brunn-Minkowski Theory, 312
  • Schoen, Yau
    • Lectures on Differential Geometry, 259
    • Lectures on Harmonic Maps, 259
  • Schrijver Theory of Linear and Integer Programming, 606
  • Schroeder Number Theory in Science and Communication, 360
  • Schumaker Spline Functions: Basic Theory, 622
  • Schwartz Théorie des Distributions, 171
  • Seifert, Threlfall Seifert and Threlfall: A Textbook of Topology, 318
  • Serre
    • A Course in Arithmetic, 385
    • Complex Semisimple Lie Algebras, 441
    • Galois Cohomology, 372
    • Linear Representations of Finite Groups, 484
    • Local Algebra,220
    • Local Fields, 371
    • Trees, 466
  • Shafarevich
    • Basic Algebraic Geometry, 281
    • Basic Notions of Algebra, 204
  • Shannon, Weaver The Mathematical Theory of Communication, 599
  • Sharpe Differential Geometry, 250
  • Shelah Proper and Improper Forcing, 591
  • Shilov Linear Algebra, 191
  • Shimura
    • Introduction to the Arithmetic Theory of Automorphic Functions, 384
    • The Map of My Life, 24
  • Shiryaev Probability, 558
  • Shoenfield Mathematical Logic, 584
  • Shohat, Tamarkin The Problem of Moments, 96
  • Shubin PseudoDifferential Operators and Spectral Theory, 424
  • Siegel Topics in Complex Function Theory, 276
  • Siegel, Moser Lectures on Celestial Mechanics, 518
  • Silverman
    • Advanced Topics in the Arithmetic of Elliptic Curves, 386
    • The Arithmetic of Elliptic Curves, 385
  • Smith Monotone Dynamical Systems, 525
  • Smith, Kahanpää, Kekäläinen, Traves An Invitation to Algebraic Geometry, 288
  • Smoller Shock Waves and Reaction-diffusion Equations, 433
  • Soare Recursively Enumerable Sets and Degrees. A Study of Computable Functions and Computably Generated Sets, 593
  • Spanier Algebraic Topology, 326
  • Spicci Beyond the Limit: The Dream of Sofya Kovalevskaya, 47
  • Spitzer Principles of Random Walks, 562
  • Spivak
    • A Comprehensive Introduction to Differential Geometry, 243
    • Calculus, 82
    • Calculus on Manifolds. A Modern Approach to Classical Theorems of Advanced Calculus, 82
  • Springer, G. Introduction to Riemann Surfaces, 130
  • Springer, T. Linear Algebraic Groups, 447
  • Stanley Enumerative Combinatorics, 538
  • Steenrod The Topology of Fibre Bundles, 325
  • Stein Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals, 159
  • Singular Integrals and Differentiability Properties of Functions, 157
  • Stein, Weiss Introduction to Fourier Analysis on Euclidean Spaces, 158
  • Steinberg Lectures on Chevalley Groups, 448
  • Sternberg Group Theory and Physics, 482
  • Stewart
    • Introduction to Matrix Computations, 613
    • Why Beauty is Truth, 28
  • Stichtenoth Algebraic Function Fields and Codes, 601
  • Stillwell Mathematics and its History, 63
  • Strang, Fix An Analysis of the Finite Element Method, 618
  • Strebel Quadratic Differentials, 139
  • Stroock Probability Theory, an Analytic View, 559
  • Stroock, Varadhan Multidimensional Diffusion Processes, 570
  • Struik A Concise History of Mathematics, 60
  • Struwe Variational Methods. Applications to Non­linear Partial Differential Equations and Hamiltonian Systems, 431
  • Stubhaug Niels Henrik Abel and His Times, 46
  • Sturmfels Gröbner Bases and Convex Polytopes, 541
  • Sweedler Hopf Algebras, 481
  • Switzer Algebraic Topology.Homotopy and Homology, 327
  • Sz.-Nagy, Foias Harmonic Analysis of Operators on Hilbert Space, 146
  • Szegö Orthogonal Polynomials, 106

T

  • Takesaki Theory of operator algebras, 180
  • Tauvel, Yu Lie Algebras and Algebraic Groups, 449
  • Taylor
    • Partial Differential Equations, 423
    • PseudoDifferential Operators, 424
    • PseudoDifferential Operators and Nonlinear PDE, 423
  • Temam
    • Infinite-dimensional Dynamical Systems in Mechanics and Physics, 526
    • Navier-Stokes Equations. Theory and Numerical Analysis, 615
  • Tenenbaum Introduction to Analytic and Probabilistic Number Theory, 377
  • Thirring A Course in Mathematical Physics. Vol. I. Classical Dynamical Systems, 513
  • Thom Structural Stability and Morphogenesis. An Outline of a General Theory of Models, 529
  • Thurston
    • The Geometry and Topology of Three Manifolds, 345
    • Three-dimensional Geometry and Topology, Vol. 1, 346
  • Titchmarsh
    • The Theory of Functions, 117
    • The Theory of the Riemann Zeta-Function, 375
  • Tits Buildings of Spherical Type and Finite BN-pairs, 453
  • tom Dieck Transformation Groups, 476
  • Totik Logarithmic Potentials with External Fields, 151
  • Triebel
    • Interpolation Theory, Function spaces, Differential Operators, 155
    • Theory of Function Spaces, 154
  • Tsuji Potential Theory in Modern Function Theory, 149
  • Turaev Quantum Invariants of Knots and 3-manifolds, 331

U

  • Ulam
    • A Collection of Mathematical Problems, 108
    • Adventures of a Mathematician, 23

V

  • van der Put, Singer Galois Theory of Linear Differential Equations, 461
  • van der Vaart, Wellner Weak Convergence and Empirical Processes. With Applications to Statistics, 571
  • van der Waerden Algebra, 194
  • van Heijenoort From Frege to Gödel. A Source Book in Mathematical Logic, 1879-1931, 585
  • van Lint Introduction to Coding Theory, 601
  • Varadarajan Lie Groups, Lie Algebras, and Their Representations, 444
  • Varopoulos, Saloff-Coste, Coulhon Analysis and Geometry on Groups, 147
  • Vaughan The Hardy-Littlewood Method, 379
  • Vignéras Arithmétique des algèbres de quaternions, 384
  • Villani
    • Optimal Transport, Old and New, 430
    • Topics in Optimal Transportation, 430
  • Voiculescu, Dykema, Nica Free Random Variables, 578
  • von Neumann
    • Mathematical Foundations of Quantum Mechanics, 498
    • The Computer and the Brain, 12
  • von Neumann, Morgenstern Theory of Games and Economic Behavior, 605

W

  • Waldschmidt Diophantine Approximation on Linear Alge­braic Groups. Transcendence Properties of the Exponential Function in Several Variables, 383
  • Walker Algebraic Curves, 288
  • Wall Surgery on Compact Manifolds, 351
  • Wallach Real Reductive Groups, 491
  • Walters An Introduction to Ergodic Theory, 533
  • Warner Foundations of Differentiable Manifolds and Lie Groups, 235
  • Washington Introduction to Cyclotomic Fields, 369
  • Watson A Treatise on the Theory of Bessel Functions, 86
  • Wehrfritz Infinite Linear Groups. An Account of the Group-Theoretic Properties of Infinite Groups of Matrices, 472
  • Weibel An Introduction to Homological Algebra, 228
  • Weil
    • Basic Number Theory, 368
    • Elliptic Functions According to Eisenstein and Kronecker, 57
    • Number theory. An Approach through History. From Hammurapi to Legendre, 55
    • The Apprenticeship of a Mathematician, 22
  • Weinberger The Topological Classification of Stratified Spaces, 344
  • Wells Differential Analysis on Complex Manifolds, 275
  • Welsh Matroid Theory, 543
  • West Introduction to Graph Theory, 547
  • Weyl
    • Space, Time, Matter, 505
    • Symmetry, 27
    • The Classical Groups. Their Invariants and Representations, 487
    • The Concept of a Riemann Surface, 128
    • The Theory of Groups and Quantum Mechan­ics, 497
  • Wheeden, Zygmund Measure and Integral, 98
  • Whitehead Elements of Homotopy Theory, 337
  • Whitham Linear and Nonlinear Waves, 436
  • Whittaker, Watson A Course of Modern Analysis, 85
  • Whyburn Analytic Topology, 478
  • Widder The Laplace Transform, 145
  • Wiener
    • I am a Mathematician. The later Life of a Prodigy, 23
    • Cybernetics, or Control and Communication in the Animal and the Machine, 597
    • Ex-prodigy. My Childhood and Youth, 23
    • Extrapolation, Interpolation, and Smoothing of Stationary Time Series, 598
  • Wilkinson The Algebraic Eigenvalue Problem, 612
  • Willem Minimax Theorems, 420
  • Woess Random Walks on Infinite Graphs and Groups, 563
  • Wolf Spaces of Constant Curvature, 245

Y

  • Yafaev Mathematical Scattering Theory, 516
  • Yaglom Felix Klein and Sophus Lie, 52
  • Yosida Functional analysis, 174

Z

  • Zariski Algebraic Surfaces, 301
  • Zariski, Samuel Commutative Algebra, 219
  • Zassenhaus The Theory of Groups, 207
  • Zee Fearful Symmetry. The Search for Beauty in Modern Physics, 34
  • Zeidler Nonlinear Functional Analysis and Its Applications, 186
  • Zhu Operator Theory in Function Spaces, 155
  • Ziegler Lectures on Polytopes, 539
  • Ziemer Weakly Differentiable Functions. Sobolev Spaces and Functions of Bounded Variation, 428
  • Zimmer
    • Ergodic Theory and Semisimple Groups, 465
    • Essential Results of Functional Analysis, 166
  • Zygmund Trigonometric Series, 147


articles

  • Grunwald, Eric. “Opinion Survey: The Best Mathematical Books of the Twentieth Century.” The Mathematical Intelligencer 31, no. 1 (January 1, 2009): 1–1. doi:10.1007/s00283-008-9014-x.
  • Grunwald, Eric. “Opinion Survey: The Best Mathematical Books of the Twentieth Century.” The Mathematical Intelligencer 29, no. 1 (March 1, 2007): 24–24. doi:10.1007/BF02984755.


encyclopedia

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