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Michael Spivak

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Michael Spivak
Spivak in 1974
Born(1940-05-25)May 25, 1940
Queens, New York City, U.S.
DiedOctober 1, 2020(2020-10-01) (aged 80)
Houston, Texas, U.S.
Alma mater
Known for
AwardsLeroy P. Steele Prize for Expository Writing (1985)
Scientific career
Fields
ThesisOn Spaces Satisfying Poincaré Duality (1964)
Doctoral advisorJohn Milnor

Michael David Spivak[1] (May 25, 1940 – October 1, 2020)[2][3] was an American mathematician specializing in differential geometry, an expositor of mathematics, and the founder of Publish-or-Perish Press. Spivak was the author of the five-volume A Comprehensive Introduction to Differential Geometry, which won the Leroy P. Steele Prize for expository writing in 1985.

Biography

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Spivak was born in Queens, New York. He received his Bachelor of Arts (A.B.) from Harvard University in 1960,[2] and in 1964 he received his Ph.D. from Princeton University under the supervision of John Milnor, with his thesis, On Spaces Satisfying Poincaré Duality.[1] Afterwards, Spivak taught as a full-time Math Lecturer at Brandeis University, whilst writing Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus, which was later translated into Polish, Spanish, Japanese and Russian. In 1967, he won a year-long National Science Foundation fellowship to Princeton’s Institute for Advanced Study, after which Spivak returned to Brandeis as Assistant Professor of Mathematics until 1970. In his last year as Assistant Professor, he published the first two volumes of "what would become a five-volume masterpiece with the daunting title, Comprehensive Introduction to Differential Geometry."[4] In 1985, Spivak received the Leroy P. Steele Prize for this five-volume set.[5]

In 2004, Spivak lectured on elementary physics.[6] Spivak's book, Physics for Mathematicians: Mechanics I (published December 6, 2010), contains the material that these lectures stemmed from and more.[7] Spivak was also the designer of the MathTime Professional 2 fonts (which are widely used in academic publishing)[8] and the creator of the TV series Science International.[9]

Spivak died on October 1, 2020.[10]

Writing

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His five-volume A Comprehensive Introduction to Differential Geometry[11] is among his most influential and celebrated works. The distinctive pedagogical aim of the work, as stated in its preface, was to elucidate for graduate students the often obscure relationship between classical differential geometry—geometrically intuitive but imprecise—and its modern counterpart, replete with precise but unintuitive algebraic definitions. On several occasions, most prominently in Volume 2, Spivak "translates" the classical language that Gauss or Riemann would be familiar with to the abstract language that a modern differential geometer might use. The Leroy P. Steele Prize was awarded to Spivak in 1985 for his authorship of the work.

Spivak also authored several well-known undergraduate textbooks. Among them, his textbook Calculus[12] takes a rigorous and theoretical approach to introductory calculus and includes proofs of many theorems taken on faith in most other introductory textbooks. Spivak acknowledged in the preface of the second edition that the work is arguably an introduction to mathematical analysis rather than a calculus textbook.[13] Another of his well-known textbooks is Calculus on Manifolds,[14] a concise (146 pages) but rigorous and modern treatment of multivariable calculus accessible to advanced undergraduates.

Spivak also wrote The Joy of TeX: A Gourmet Guide to Typesetting with the AMS-TeX Macro Package and The Hitchhiker's Guide to Calculus. The book Morse Theory by Spivak's PhD advisor John Milnor was based on lecture notes by Spivak and Robert Wells (as mentioned on the cover page of the booklet).

Spivak pronouns

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Main article: Spivak pronouns

Spivak used a set of English gender-neutral pronouns, e/em/eir, in his book The Joy of TeX, which are often referred to as Spivak pronouns.[15] Spivak stated that he did not originate these pronouns.[3]

Bibliography

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  • Spivak, Michael (1967). "Spaces satisfying Poincaré duality". Topology. 6 (1): 77–101. doi:10.1016/0040-9383(67)90016-X. MR 0214071.
  • Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus, (1965, revised 1968)
  • Calculus, (1967, 4th ed. 2008)
  • A Comprehensive Introduction to Differential Geometry,[16][17] (1970, revised 3rd ed. 2005)
  • The Joy of TeX: A Gourmet Guide to Typesetting with the AMS-TeX Macro package, (1990)
  • A Hitchhiker's Guide to the Calculus,[18] (1995)
  • Spivak, Michael (2010). Physics for mathematicians—Mechanics I. Houston, TX: Publish or Perish. ISBN 978-0-914098-32-4. MR 2761185.

See also

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References

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  1. ^ a b Michael Spivak at the Mathematics Genealogy Project
  2. ^ a b "1985 Steele Prizes Awarded at Summer Meeting in Laramie" (PDF). Notices of the American Mathematical Society. 32 (243): 576. October 1985. Archived (PDF) from the original on November 30, 2021. Retrieved November 30, 2021.
  3. ^ a b Beeton, Barbara (2021). "Michael D. Spivak, 1940–2020" (PDF). TUGboat. 42 (3): 226–227. doi:10.47397/tb/42-3/tb132beeton-spivak. S2CID 244121636. Archived (PDF) from the original on November 30, 2021. Retrieved November 29, 2021.
  4. ^ One Brilliant Classmate Remembers Another
  5. ^ Leroy P. Steele Prize
  6. ^
  7. ^ Spivak, Michael (2010). Physics for Mathematicians, Mechanics I. Publish or Perish. ISBN 978-0-914098-32-4.
  8. ^ "MathTime Professional 2 Fonts". pctex.com. Archived from the original on October 29, 2013. Retrieved October 15, 2013.
  9. ^ "Snippets of science from a goon". New Scientist. Vol. 98, no. 1352. Reed Business Information. April 7, 1983.
  10. ^ "Michael Spivak: A Memorial" (PDF). Notices of the American Mathematical Society. 71. June–July 2024. doi:10.1090/noti2956. Retrieved August 2, 2024.
  11. ^ Spivak, Michael (1999). A comprehensive introduction to differential geometry (3rd ed.). Houston, TX: Publish or Perish, Inc. ISBN 978-0-914098-70-6. OCLC 42962004.
  12. ^ Spivak, Michael (1994). Calculus (3rd ed.). Houston, TX: Publish or Perish. ISBN 978-0-914098-89-8.
  13. ^ Bressoud, David (2013). Spivak, Michael; Nitecki, Zbigniew; Sharhriari, Shahriar; Cates, Dennis M.; Thomson, Brian S. (eds.). "Review". The American Mathematical Monthly. 120 (6): 577–580. doi:10.4169/amer.math.monthly.120.06.577. ISSN 0002-9890. JSTOR 10.4169/amer.math.monthly.120.06.577. Archived from the original on June 14, 2022. Retrieved June 14, 2022.
  14. ^ Spivak, Michael (2018). Calculus on manifolds: A modern approach to classical theorems of advanced calculus. Mathematics monograph series. Boca Raton London New York: CRC Press, Taylor & Francis Group. ISBN 978-0-8053-9021-6.
  15. ^ McCurdy, Christen. "Are Gender-Neutral Pronouns Actually Doomed?". Pacific Standard. Archived from the original on May 20, 2021. Retrieved February 26, 2014.
  16. ^ Guillemin, Victor (1973). "Review: A comprehensive introduction to differential geometry, Vols. 1 & 2, by M. Spivak". Bull. Amer. Math. Soc. 79 (2): 303–306. doi:10.1090/s0002-9904-1973-13149-0. Archived from the original on June 20, 2021. Retrieved April 28, 2021.
  17. ^ Alexander, Stephanie (1978). "Review: A comprehensive introduction to differential geometry, Vols. 3, 4, & 5, by M. Spivak". Bull. Amer. Math. Soc. 84 (1): 27–32. doi:10.1090/s0002-9904-1978-14399-7. Archived from the original on April 17, 2021. Retrieved April 28, 2021.
  18. ^ Gouvêa, Fernando Q. (February 2, 1996). "Review: A Hitchhiker's Guide to the Calculus by Michael Spivak". MAA Reviews. Archived from the original on January 18, 2015. Retrieved January 21, 2015.
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