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− | * | + | ==분야별== |
− | * | + | ===20세기 수학=== |
+ | * [http://www.jstor.org/stable/2589372 Mathematics at the Turn of the Millennium] | ||
+ | ** Phillip A. Griffiths, The American Mathematical Monthly, Vol. 107, No. 1 (Jan., 2000), pp. 1-14 | ||
+ | * [http://www.jstor.org/stable/2695275 Mathematics in the 20th Century] | ||
+ | ** Michael Atiyah, <cite>The American Mathematical Monthly</cite>, Vol. 108, No. 7 (Aug. - Sep., 2001), pp. 654-666 | ||
+ | * [http://www.jstor.org/stable/2306319 A Half-Century of Mathematics] | ||
+ | ** Hermann Weyl, <cite>The American Mathematical Monthly</cite>, Vol. 58, No. 8 (Oct., 1951), pp. 523-553 | ||
+ | * [http://www.jstor.org/stable/2306198 The Future of Mathematics] | ||
+ | ** Andre Weil, <cite>The American Mathematical Monthly</cite>, Vol. 57, No. 5 (May, 1950), pp. 295-306 | ||
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− | * [http://www.amazon.com/Mathematics-Touchstone-Book-E-T-Bell/dp/0671628186 Men of mathematics] | + | ===수학자와 수학사=== |
− | ** E.T.Bell | + | * [http://www.amazon.com/Mathematics-Touchstone-Book-E-T-Bell/dp/0671628186 Men of mathematics] |
− | * [http://books.google.com/books?id=NM36hgqmOLkC&hl=ko Development of mathematics in the 19th century] | + | ** E.T.Bell, 1986 |
− | ** Felix Klein | + | * [http://books.google.com/books?id=NM36hgqmOLkC&hl=ko Development of mathematics in the 19th century] |
− | + | ** Felix Klein, Math Sci Press, 1979 | |
− | * [http://www. | + | |
− | ** | + | |
− | * [http://www. | + | ===대수학=== |
− | ** | + | |
− | * [http://www.jstor.org/stable/ | + | * Israel Kleiner, [http://www.amazon.com/exec/obidos/ASIN/0817646841/ebooksclub-20/ A History of Abstract Algebra] |
− | + | ||
− | ** <cite>The American Mathematical Monthly</cite>, Vol. | + | |
− | * [http:// | + | ===군론과 기하학=== |
− | ** | + | |
− | ** <cite>The American Mathematical Monthly</cite>, Vol. | + | * [http://www.amazon.com/Symmetries-Things-John-Horton-Conway/dp/1568812205 The Symmetries of Things] |
− | * [http://www.jstor.org/stable/ | + | ** John Horton Conway, Heidi Burgiel, Chaim Goodman-Strauss |
− | * | + | * [http://www.amazon.com/Indras-Pearls-Vision-Felix-Klein/dp/0521352533 Indra's Pearls: The Vision of Felix Klein.] |
− | ** <cite>The American Mathematical Monthly</cite>, Vol. | + | ** Mumford, David; Series, Caroline; Wright, David, Cambridge. (2002) |
− | * [http://www.jstor.org/stable/ | + | |
− | ** Hermann Weyl | + | |
− | + | ===정수론=== | |
− | * [http://www.jstor.org/stable/ | + | |
− | * | + | * [http://www.jstor.org/stable/2317083 What is a Reciprocity Law?] |
− | ** <cite>The American Mathematical Monthly</cite>, Vol. | + | ** B. F. Wyman, <cite>The American Mathematical Monthly</cite>, Vol. 79, No. 6 (Jun. - Jul., 1972), pp. 571-586 |
− | * [http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.bams/1183533964&page=record Missed opportunities] | + | * [http://www.jstor.org/stable/2324924 Number Theory as Gadfly] |
− | ** Freeman J. Dyson | + | ** B. Mazur, <cite>The American Mathematical Monthly</cite>, 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:[http://dx.doi.org/10.2307/2690080 10.2307/2690080]. | |
− | * [http://www.jstor.org/stable/3482035 Geometry between the Devil and the Deep Sea] | + | * J.P. Serre <math>\Delta=b^2-4ac</math>, Math. Medley, Singapore Math.Soc. 13 (1985), 1-10 |
− | ** Hans | + | ** [[파일:1943100-serre on class number.pdf]] |
+ | |||
+ | |||
+ | ===해석학=== | ||
+ | |||
+ | * [http://www.amazon.com/Analysis-History-Undergraduate-Mathematics-Readings/dp/0387945512 Analysis by Its History] | ||
+ | ** Ernst Hairer and Gerhard Wanner, 2008 | ||
+ | * [http://www.amazon.com/Excursions-Classical-Analysis-Classroom-Materials/dp/0883857685 Excursions in Classical Analysis] | ||
+ | |||
+ | |||
+ | ===기하학=== | ||
+ | |||
+ | * [http://www.jstor.org/stable/2316199 What is a Sheaf?] | ||
+ | ** J. Arthur Seebach, Jr., Linda A. Seebach and Lynn A. Steen, <cite>The American Mathematical Monthly</cite>, Vol. 77, No. 7 (Aug. - Sep., 1970), pp. 681-703 | ||
+ | * Shing-Shen Chern, [http://www.jstor.org/stable/2321093 From Triangles to Manifolds], <cite>The American Mathematical Monthly</cite>, Vol. 86, No. 5 (May, 1979), pp. 339-349 | ||
+ | * [http://www.jstor.org/stable/2324574 What Is Geometry?] | ||
+ | ** Shiing-Shen Chern, <cite>The American Mathematical Monthly</cite>, Vol. 97, No. 8, Special Geometry Issue (Oct., 1990), pp. 679-686 | ||
+ | * [http://www.jstor.org/stable/3616542 What Is Geometry? The 1982 Presidential Address] | ||
+ | ** Michael Atiyah, <cite>The Mathematical Gazette</cite>, Vol. 66, No. 437 (Oct., 1982), pp. 179-184 | ||
+ | * [http://www.jstor.org/stable/3027068 The Universal Domination of Geometry] | ||
+ | ** J. Dieudonne, <cite>The Two-Year College Mathematics Journal</cite>, Vol. 12, No. 4 (Sep., 1981), pp. 227-231 | ||
+ | |||
+ | |||
+ | ===논문과 에세이=== | ||
+ | * [http://www.jstor.org/stable/2975040 Part I. Topology and Abstract Algebra as Two Roads of Mathematical Comprehension] | ||
+ | ** Hermann Weyl, <cite>The American Mathematical Monthly</cite>, Vol. 102, No. 5 (May, 1995), pp. 453-460 | ||
+ | * [http://www.jstor.org/stable/2974564 Part II. Topology and Abstract Algebra as Two Roads of Mathematical Comprehension] | ||
+ | ** Hermann Weyl, <cite>The American Mathematical Monthly</cite>, Vol. 102, No. 7 (Aug. - Sep., 1995), pp. 646-651 | ||
+ | * [http://www.jstor.org/stable/2323277 Very Basic Lie Theory] | ||
+ | ** Roger Howe, <cite>The American Mathematical Monthly</cite>, Vol. 90, No. 9 (Nov., 1983), pp. 600-623 | ||
+ | * [http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.bams/1183533964&page=record Missed opportunities] | ||
+ | ** Freeman J. Dyson, Bull. Amer. Math. Soc. Volume 78, Number 5 (1972), 635-652. | ||
+ | * [http://www.jstor.org/stable/3482035 Geometry between the Devil and the Deep Sea] | ||
+ | ** Hans Freudenthal | ||
** <cite>Educational Studies in Mathematics</cite>, Vol. 3, No. 3/4, Lectures of the Comprehensive School Mathematics Project (CSMP). Conference on the Teaching of Geometry (Jun., 1971), pp. 413-435 | ** <cite>Educational Studies in Mathematics</cite>, Vol. 3, No. 3/4, Lectures of the Comprehensive School Mathematics Project (CSMP). Conference on the Teaching of Geometry (Jun., 1971), pp. 413-435 | ||
− | * [http://www.jstor.org/stable/2318338 Historical Ramblings in Algebraic Geometry and Related Algebra] | + | * [http://www.jstor.org/stable/2318338 Historical Ramblings in Algebraic Geometry and Related Algebra] |
** Shreeram S. Abhyankar | ** Shreeram S. Abhyankar | ||
** <cite>The American Mathematical Monthly</cite>, Vol. 83, No. 6 (Jun. - Jul., 1976), pp. 409-448 | ** <cite>The American Mathematical Monthly</cite>, Vol. 83, No. 6 (Jun. - Jul., 1976), pp. 409-448 | ||
− | * [http://www.jstor.org/stable/2690463 Mathematical Building Blocks] | + | * [http://www.jstor.org/stable/2690463 Mathematical Building Blocks] |
** I. Kleiner and A. Shenitzer | ** I. Kleiner and A. Shenitzer | ||
** <cite>Mathematics Magazine</cite>, Vol. 66, No. 1 (Feb., 1993), pp. 3-13 | ** <cite>Mathematics Magazine</cite>, Vol. 66, No. 1 (Feb., 1993), pp. 3-13 | ||
− | + | * [http://www.jstor.org/stable/2589218 Exceptional Objects] | |
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− | * [http://www.jstor.org/stable/2589218 Exceptional Objects] | ||
** John Stillwell | ** John Stillwell | ||
** <cite>The American Mathematical Monthly</cite>, Vol. 105, No. 9 (Nov., 1998), pp. 850-858 | ** <cite>The American Mathematical Monthly</cite>, Vol. 105, No. 9 (Nov., 1998), pp. 850-858 | ||
− | * [http://www.jstor.org/stable/2975163 The Role of Paradoxes in the Evolution of Mathematics] | + | * [http://www.jstor.org/stable/2975163 The Role of Paradoxes in the Evolution of Mathematics] |
** I. Kleiner and N. Movshovitz-Hadar | ** I. Kleiner and N. Movshovitz-Hadar | ||
** <cite>The American Mathematical Monthly</cite>, Vol. 101, No. 10 (Dec., 1994), pp. 963-974 | ** <cite>The American Mathematical Monthly</cite>, Vol. 101, No. 10 (Dec., 1994), pp. 963-974 | ||
+ | * [http://www.mff.cuni.cz/veda/konference/wds/contents/pdf07/WDS07_142_m8_Trkovska.pdf Felix Klein and his Erlanger Programm] | ||
+ | ** D. Trkovsk\.b4a | ||
+ | * David E. Rowe, [http://www.springerlink.com/content/y2k73j24m8290570/ 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. | ||
+ | * [http://www.jstor.org/stable/2322907?seq=1 Another Required Reading Program for Mathematics Majors] | ||
+ | ** James C. Reber, <cite>The American Mathematical Monthly</cite>, Vol. 95, No. 9 (Nov., 1988), pp. 867-868 | ||
+ | |||
+ | |||
+ | |||
+ | ===기타 목록=== | ||
+ | * [http://www.ams.org/cgi-bin/bookstore/bookpromo/stmlseries AMS Student Mathematical Library] | ||
+ | * [http://mathdl.maa.org/mathDL/22/ MAA Journal Writing Awards] | ||
+ | ** [http://www.joma.org/programs/maa-awards/writing-awards/carl-b-allendoerfer-awards Carl B. Allendoerfer Awards] | ||
+ | ** [http://www.joma.org/programs/maa-awards/writing-awards/chauvenet-prizes Chauvenet Prizes] | ||
+ | ** [http://www.joma.org/programs/maa-awards/writing-awards/trevor-evans-awards Trevor Evans Awards] | ||
+ | ** Paul R. Halmos - Lester R. Ford Awards | ||
+ | ** Hasse Prizes | ||
+ | ** George Pólya Awards | ||
+ | ** Robbins Prizes | ||
+ | ** Beckenbach Book Prize | ||
+ | ** [http://www.joma.org/programs/maa-awards/writing-awards/euler-book-prize Euler Book Prize] | ||
+ | * [http://www.math.snu.ac.kr/%7Ehongjong/recommendation.html 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]] | |
− | + | [[분류:수학 교육]] | |
− | * [ | ||
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2014년 5월 26일 (월) 15:34 기준 최신판
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
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)
- 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
관련된 항목들
- 수학과 신입생을 위한 읽기 목록
- 과목별 읽기 목록
- 저자별
- 수학과 대학원생을 위한 노트