학부생을 위한 읽기 목록

분야별

20세기 수학

• Mathematics at the Turn of the Millennium
  • Phillip A. Griffiths, The American Mathematical Monthly, Vol. 107, No. 1 (Jan., 2000), pp. 1-14
• Mathematics in the 20th Century
  • Michael Atiyah, The American Mathematical Monthly, Vol. 108, No. 7 (Aug. - Sep., 2001), pp. 654-666
• A Half-Century of Mathematics
  • Hermann Weyl, The American Mathematical Monthly, Vol. 58, No. 8 (Oct., 1951), pp. 523-553
• The Future of Mathematics
  • Andre Weil, The American Mathematical Monthly, Vol. 57, No. 5 (May, 1950), pp. 295-306

수학자와 수학사

• Men of mathematics
  • E.T.Bell, 1986
• Development of mathematics in the 19th century
  • Felix Klein, Math Sci Press, 1979

대수학

• Israel Kleiner, A History of Abstract Algebra

군론과 기하학

• The Symmetries of Things
  • John Horton Conway, Heidi Burgiel, Chaim Goodman-Strauss
• Indra's Pearls: The Vision of Felix Klein.
  • Mumford, David; Series, Caroline; Wright, David, Cambridge. (2002)

정수론

• What is a Reciprocity Law?
  • B. F. Wyman, The American Mathematical Monthly, Vol. 79, No. 6 (Jun. - Jul., 1972), pp. 571-586
• Number Theory as Gadfly
  • B. Mazur, The American Mathematical Monthly, Vol. 98, No. 7 (Aug. - Sep., 1991), pp. 593-610
• Koblitz, Neal. 1982. Why Study Equations over Finite Fields? Mathematics Magazine 55, no. 3 (May 1): 144-149. doi:10.2307/2690080.
• J.P. Serre \(\Delta=b^2-4ac\), Math. Medley, Singapore Math.Soc. 13 (1985), 1-10
  • 파일:1943100-serre on class number.pdf

해석학

• Analysis by Its History
  • Ernst Hairer and Gerhard Wanner, 2008
• Excursions in Classical Analysis

기하학

• What is a Sheaf?
  • J. Arthur Seebach, Jr., Linda A. Seebach and Lynn A. Steen, The American Mathematical Monthly, Vol. 77, No. 7 (Aug. - Sep., 1970), pp. 681-703
• Shing-Shen Chern, From Triangles to Manifolds, The American Mathematical Monthly, Vol. 86, No. 5 (May, 1979), pp. 339-349
• What Is Geometry?
  • Shiing-Shen Chern, The American Mathematical Monthly, Vol. 97, No. 8, Special Geometry Issue (Oct., 1990), pp. 679-686
• What Is Geometry? The 1982 Presidential Address
  • Michael Atiyah, The Mathematical Gazette, Vol. 66, No. 437 (Oct., 1982), pp. 179-184
• The Universal Domination of Geometry
  • J. Dieudonne, The Two-Year College Mathematics Journal, Vol. 12, No. 4 (Sep., 1981), pp. 227-231

논문과 에세이

• Part I. Topology and Abstract Algebra as Two Roads of Mathematical Comprehension
  • Hermann Weyl, The American Mathematical Monthly, Vol. 102, No. 5 (May, 1995), pp. 453-460
• Part II. Topology and Abstract Algebra as Two Roads of Mathematical Comprehension
  • Hermann Weyl, The American Mathematical Monthly, Vol. 102, No. 7 (Aug. - Sep., 1995), pp. 646-651
• Very Basic Lie Theory
  • Roger Howe, The American Mathematical Monthly, Vol. 90, No. 9 (Nov., 1983), pp. 600-623
• Missed opportunities
  • Freeman J. Dyson, Bull. Amer. Math. Soc. Volume 78, Number 5 (1972), 635-652.
• Geometry between the Devil and the Deep Sea
  • Hans Freudenthal
  • Educational Studies in Mathematics, Vol. 3, No. 3/4, Lectures of the Comprehensive School Mathematics Project (CSMP). Conference on the Teaching of Geometry (Jun., 1971), pp. 413-435
• Historical Ramblings in Algebraic Geometry and Related Algebra
  • Shreeram S. Abhyankar
  • The American Mathematical Monthly, Vol. 83, No. 6 (Jun. - Jul., 1976), pp. 409-448
• Mathematical Building Blocks
  • I. Kleiner and A. Shenitzer
  • Mathematics Magazine, Vol. 66, No. 1 (Feb., 1993), pp. 3-13
• Exceptional Objects
  • John Stillwell
  • The American Mathematical Monthly, Vol. 105, No. 9 (Nov., 1998), pp. 850-858
• The Role of Paradoxes in the Evolution of Mathematics
  • I. Kleiner and N. Movshovitz-Hadar
  • The American Mathematical Monthly, Vol. 101, No. 10 (Dec., 1994), pp. 963-974
• Felix Klein and his Erlanger Programm
  • D. Trkovsk\.b4a
• David E. Rowe, Klein, Lie, and the “Erlanger programm

학부생을 위한 읽기 프로그램

• Directed Reading Program in Mathematics (Rutgers)
  • 프로그램 안내 : http://www.math.rutgers.edu/undergrad/Activities/drp/index.html
  • 샘플 프로젝트 목록 : http://www.math.rutgers.edu/undergrad/Activities/drp/samples.html
• Brabenec, Robert L. 1987. “A Required Reading Program for Mathematics Majors.” The American Mathematical Monthly 94 (4) (April): 366. doi:10.2307/2323100.
• Another Required Reading Program for Mathematics Majors
  • James C. Reber, The American Mathematical Monthly, Vol. 95, No. 9 (Nov., 1988), pp. 867-868

기타 목록

• AMS Student Mathematical Library
• MAA Journal Writing Awards
  • Carl B. Allendoerfer Awards
  • Chauvenet Prizes
  • Trevor Evans Awards
  • Paul R. Halmos - Lester R. Ford Awards
  • Hasse Prizes
  • George Pólya Awards
  • Robbins Prizes
  • Beckenbach Book Prize
  • Euler Book Prize
• 김홍종 교수 추천도서

메모

• http://mathoverflow.net/questions/31879/are-there-other-nice-math-books-close-to-the-style-of-tristan-needham

관련된 항목들

• 수학과 신입생을 위한 읽기 목록
• 과목별 읽기 목록
• 저자별
• 수학과 대학원생을 위한 노트

관련도서

• A Student's Guide to the Study, Practice, and Tools of Modern Mathematics