Sheldon Jay Axler 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.
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∞").
Axler's book Linear Algebra Done Right eschews the use of determinants, in favor of other methods.
- Sheldon Axler. Linear Algebra Done Right, second edition, Undergraduate Texts in Mathematics, Springer, 1997 (twelfth printing, 2009).
- Sheldon Axler, John E. McCarthy, and Donald Sarason, editors. Holomorphic Spaces, Cambridge University Press, 1998.
- Sheldon Axler, Paul Bourdon, and Wade Ramey. Harmonic Function Theory, second edition, Graduate Texts in Mathematics, Springer, 2001.
- Sheldon Axler. Harmonic Function Theory software, a Mathematica package for symbolic manipulation of harmonic functions, version 7.00, released 1 January 2009 (previous versions released in 1992, 1993, 1994, 1996, 1999, 2000, 2001, 2002, 2003, and 2008).
- Sheldon Axler. Precalculus: A Prelude to Calculus, Wiley, 2009 (third printing, 2010).
- Sheldon Axler, Peter Rosenthal, and Donald Sarason, editors. A Glimpse at Hilbert Space Operators, Birkhäuser, 2010.
- Sheldon Axler. College Algebra, Wiley, 2011.
- Sheldon Axler. Algebra & Trigonometry, Wiley, January 2011.
- List of Fellows of the American Mathematical Society, retrieved 2012-11-03.