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{{short description|American mathematician}}
{{Short description|American mathematician (born 1949)}}
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[[File:Sheldon Axler 1984 (re-scanned).jpg|thumb|right|Sheldon Axler in 1984]]
[[File:Sheldon Axler 1984 (re-scanned).jpg|thumb|right|Sheldon Axler in 1984]]


'''Sheldon Jay Axler''' (born 6 November 1949, [[Philadelphia]]) is an American mathematician, professor of mathematics and the Dean of the College of Science and Engineering at [[San Francisco State University]]. He has made contributions to mathematics education, publishing several mathematics textbooks.
'''Sheldon Jay Axler''' (born November 6, 1949, [[Philadelphia]]) is an American mathematician and textbook author. He is a professor of mathematics and the Dean of the College of Science and Engineering at [[San Francisco State University]].


He went to Palmetto High School at Miami, Florida (1967). He obtained his AB in mathematics with highest honors at [[Princeton University]] (1971) and his [[PhD]] in mathematics, under professor [[Donald Sarason]], from the [[University of California, Berkeley]] (1975, Dissertation: "Subalgebras of <math>L^{\infty}</math>"). As a postdoc he was a [[C. L. E. Moore instructor]] at the [[Massachusetts Institute of Technology]].
He graduated from [[Miami Palmetto Senior High School]] in [[Miami]], [[Florida]] in 1967. He obtained his AB in mathematics with highest honors at [[Princeton University]] (1971) and his [[PhD]] in mathematics, under professor [[Donald Sarason]], from the [[University of California, Berkeley]], with the dissertation "Subalgebras of <math>L^{\infty}</math>" in 1975. As a postdoc, he was a [[C. L. E. Moore instructor]] at the [[Massachusetts Institute of Technology]].


He taught for many years and became a Full Professor at [[Michigan State University]]. In 1997 Axler moved to [[San Francisco State University]] where he became the Chair of the Mathematics Department.
He taught for many years and became a full professor at [[Michigan State University]]. In 1997, Axler moved to [[San Francisco State University]], where he became the chair of the Mathematics Department.


Axler received the [[Lester R. Ford Award]] for expository writing in 1996 from the [[Mathematical Association of America]]. In the awarded paper, "Down With Determinants!", Axler shows "how linear algebra can be done better without determinants".<ref>{{cite journal|author=Axler, Sheldon|title=Down with determinants!|journal=Amer. Math. Monthly|volume=102|issue=2|year=1995|pages=139–154|url=http://www.maa.org/programs/maa-awards/writing-awards/down-with-determinants|doi=10.2307/2975348|jstor=2975348}}</ref> In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], Retrieved 2012-11-03.</ref>
Axler received the [[Lester R. Ford Award]] for expository writing in 1996 from the [[Mathematical Association of America]] for a paper titled "Down with Determinants!" in which he shows how one can teach or learn linear algebra without the use of [[determinant]]s.<ref>{{cite journal|author=Axler, Sheldon|title=Down with determinants!|journal=Amer. Math. Monthly|volume=102|issue=2|year=1995|pages=139–154|url=http://www.maa.org/programs/maa-awards/writing-awards/down-with-determinants|doi=10.2307/2975348|jstor=2975348}}</ref> Axler later wrote a textbook, ''Linear Algebra Done Right'' (4th ed. 2024), to the same effect.


He was an Associate Editor of the ''[[American Mathematical Monthly]]'' and the Editor-in-Chief of the [[Mathematical Intelligencer]].
In 2012, he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], Retrieved November 3, 2012.</ref> He was an Associate Editor of the ''[[American Mathematical Monthly]]'' and the Editor-in-Chief of the [[Mathematical Intelligencer]].

Axler's book ''Linear Algebra Done Right'' eschews the use of [[determinant]]s, in favor of other methods.


==Books==
==Books==
* ''Linear Algebra Done Right'', third edition, [[Undergraduate Texts in Mathematics]], Springer, 2015 (twelfth printing, 2009).
* ''Linear Algebra Done Right'', fourth edition, [[Undergraduate Texts in Mathematics]], Springer, 2024.
* (with John E. McCarthy, and Donald Sarason) editors. ''Holomorphic Spaces'', [[Cambridge University Press]] 1998.
* (with John E. McCarthy, and Donald Sarason) editors. ''Holomorphic Spaces'', [[Cambridge University Press]] 1998.
* (with Paul Bourdon, and Wade Ramey) [https://books.google.com/books/about/Harmonic_Function_Theory.html?id=wATLzBfup-wC ''Harmonic Function Theory'', second edition], [[Graduate Texts in Mathematics]], Springer, 2001.
* (with Paul Bourdon, and Wade Ramey) [https://books.google.com/books/about/Harmonic_Function_Theory.html?id=wATLzBfup-wC ''Harmonic Function Theory'', second edition], [[Graduate Texts in Mathematics]], Springer, 2001.
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[[Category:Mathematicians from Philadelphia]]
[[Category:Mathematicians from Philadelphia]]
[[Category:Massachusetts Institute of Technology School of Science faculty]]
[[Category:Massachusetts Institute of Technology School of Science faculty]]
[[Category:American textbook writers]]

Latest revision as of 13:31, 4 May 2024

Sheldon Axler in 1984

Sheldon Jay Axler (born November 6, 1949, Philadelphia) is an American mathematician and textbook author. He is a professor of mathematics and the Dean of the College of Science and Engineering at San Francisco State University.

He graduated from Miami Palmetto Senior High School in Miami, Florida in 1967. He obtained his AB in mathematics with highest honors at Princeton University (1971) and his PhD in mathematics, under professor Donald Sarason, from the University of California, Berkeley, with the dissertation "Subalgebras of " in 1975. As a postdoc, he was a C. L. E. Moore instructor at the Massachusetts Institute of Technology.

He taught for many years and became a full professor at Michigan State University. In 1997, Axler moved to San Francisco State University, where he became the chair of the Mathematics Department.

Axler received the Lester R. Ford Award for expository writing in 1996 from the Mathematical Association of America for a paper titled "Down with Determinants!" in which he shows how one can teach or learn linear algebra without the use of determinants.[1] Axler later wrote a textbook, Linear Algebra Done Right (4th ed. 2024), to the same effect.

In 2012, he became a fellow of the American Mathematical Society.[2] He was an Associate Editor of the American Mathematical Monthly and the Editor-in-Chief of the Mathematical Intelligencer.

Books

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References

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  1. ^ Axler, Sheldon (1995). "Down with determinants!". Amer. Math. Monthly. 102 (2): 139–154. doi:10.2307/2975348. JSTOR 2975348.
  2. ^ List of Fellows of the American Mathematical Society, Retrieved November 3, 2012.
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