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{{Short description|American mathematician (born 1949)}}
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'''Sheldon Jay Axler''' (born 6 November 1949, [[Philadelphia]]) is an [[United States|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.
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[[File:Sheldon Axler 1984 (re-scanned).jpg|thumb|right|Sheldon Axler in 1984]]


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'''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]].
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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 ''L''<sup>∞</sup>"). As a postdoc he was a [[C.L.E. Moore Instructor|Moore Instructor]] at [[Massachusetts Institute of Technology|MIT]].


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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]].
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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.


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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.
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Axler received the [[Lester R. Ford Award]] for expository writing in 1996 from the [[Mathematical Association of America]].<ref>{{cite journal|author=Axler, Sheldon|title=Down with determinants!|journal=Amer. Math. Monthly|volume=102|year=1995|pages=139–154|url=http://www.maa.org/programs/maa-awards/writing-awards/down-with-determinants|doi=10.2307/2975348}}</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>


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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'', second edition, [[Undergraduate Texts in Mathematics]], Springer, 1997 (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) [http://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.
* ''Harmonic Function Theory software'', a [[Mathematica]] package for symbolic manipulation of [[harmonic function]]s, version 7.00, released 1 January 2009 (previous versions released in 1992, 1993, 1994, 1996, 1999, 2000, 2001, 2002, 2003, and 2008).
* ''Harmonic Function Theory software'', a [[Mathematica]] package for symbolic manipulation of [[harmonic function]]s, version 7.00, released 1 January 2009 (previous versions released in 1992, 1993, 1994, 1996, 1999, 2000, 2001, 2002, 2003, and 2008).
* ''Precalculus: A Prelude to Calculus'', Wiley, 2009 (third printing, 2010).
* ''Precalculus: A Prelude to Calculus'', Wiley, 2009 (third printing, 2010).
* (with [[Peter Rosenthal]] and Donald Sarason) editors. [http://books.google.com/books/about/A_Glimpse_at_Hilbert_Space_Operators.html?id=8rcv8Od38McC ''A Glimpse at Hilbert Space Operators''], [[Birkhäuser]], 2010.
* (with [[Peter Rosenthal]] and Donald Sarason) editors. [https://books.google.com/books/about/A_Glimpse_at_Hilbert_Space_Operators.html?id=8rcv8Od38McC ''A Glimpse at Hilbert Space Operators''], [[Birkhäuser]], 2010.
* ''College Algebra'', [[John Wiley & Sons]] 2011.
* ''College Algebra'', [[John Wiley & Sons]] 2011.
* ''Algebra & Trigonometry'', John Wiley & Sons, January 2011.
* ''Algebra & Trigonometry'', John Wiley & Sons, January 2011.
* ''Measure, Integration & Real Analysis'' (open access, updated 2020), Springer, November 2019.


==References==
==References==
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* [http://www.sfsu.edu/~science/newsletters/spring2002.pdf College of Science & Engineering Newsletter] from San Francisco State University.
* [http://www.sfsu.edu/~science/newsletters/spring2002.pdf College of Science & Engineering Newsletter] from San Francisco State University.
* [http://www.ccst.us/ccstinfo/fellows/bios/axler.php Senior Fellow Sheldon Axler] from [[California Council on Science and Technology]].
* [http://www.ccst.us/ccstinfo/fellows/bios/axler.php Senior Fellow Sheldon Axler] from [[California Council on Science and Technology]].
* [https://zbmath.org/authors/?q=ai:axler.sheldon Author profile] in the database [[Zentralblatt MATH|zbMATH]]

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{{Persondata
|name= Axler, Sheldon
|alternative names=
|SHORT DESCRIPTION = American mathematician
|date of birth= 6 November 1949
|place of birth= Philadelphia
|date of death=
|place of death=
}}
{{DEFAULTSORT:Axler, Sheldon}}
{{DEFAULTSORT:Axler, Sheldon}}
[[Category:20th-century American mathematicians]]
[[Category:20th-century American mathematicians]]
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[[Category:San Francisco State University faculty]]
[[Category:San Francisco State University faculty]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Year of birth missing (living people)]]
[[Category:Princeton University alumni]]
[[Category:Princeton University alumni]]
[[Category:Place of birth missing (living people)]]
[[Category:Place of birth missing (living people)]]
[[Category:University of California, Berkeley faculty]]
[[Category:UC Berkeley College of Letters and Science alumni]]
[[Category:People from Miami, Florida]]
[[Category:People from Miami]]
[[Category:Michigan State University faculty]]
[[Category:Michigan State University faculty]]
[[Category:Mathematicians from Philadelphia]]
[[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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