Great Mathematics Books of the Twentieth Century by Ji

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
• Cvetkovi´c, 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
• Godel 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 ´ Etale 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
• Mitrinovi´c Analytic Inequalities, 111
• Miyake Modular Forms, 401
• Moeglin, Waldspurger Spectral Decomposition and Eisenstein Series. Une paraphrase de l’ ´ Ecriture, 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, Kahanp¨a¨a, Kek l¨ainen, 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.