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.
Linear algebra is the branch of mathematics concerning linear equations such as:
Lars Valter Hörmander was a Swedish mathematician who has been called "the foremost contributor to the modern theory of linear partial differential equations". Hörmander was awarded the Fields Medal in 1962 and the Wolf Prize in 1988. In 2006 he was awarded the Steele Prize for Mathematical Exposition for his four-volume textbook Analysis of Linear Partial Differential Operators, which is considered a foundational work on the subject.
Tom Mike Apostol was an American analytic number theorist and professor at the California Institute of Technology, best known as the author of widely used mathematical textbooks.
William Gilbert Strang is an American mathematician known for his contributions to finite element theory, the calculus of variations, wavelet analysis and linear algebra. He has made many contributions to mathematics education, including publishing mathematics textbooks. Strang was the MathWorks Professor of Mathematics at the Massachusetts Institute of Technology. He taught Linear Algebra, Computational Science, and Engineering, Learning from Data, and his lectures are freely available through MIT OpenCourseWare.
Walter Rudin was an Austrian-American mathematician and professor of Mathematics at the University of Wisconsin–Madison.
Paul Moritz Cohn FRS was Astor Professor of Mathematics at University College London, 1986–1989, and author of many textbooks on algebra. His work was mostly in the area of algebra, especially non-commutative rings.
John Brady Garnett is an American mathematician at the University of California, Los Angeles, known for his work in harmonic analysis. He received his Ph.D. at the University of Washington in 1966, under the supervision of Irving Glicksberg. He received the Steele Prize for Mathematical Exposition in 2003 for his book, Bounded Analytic Functions. As of June 2011, he has supervised the dissertations of 25 students including Peter Jones and Jill Pipher.
Math 55 is a two-semester freshman undergraduate mathematics course at Harvard University founded by Lynn Loomis and Shlomo Sternberg. The official titles of the course are Studies in Algebra and Group Theory and Studies in Real and Complex Analysis. Previously, the official title was Honors Advanced Calculus and Linear Algebra.
Audrey Anne Terras is an American mathematician who works primarily in number theory. Her research has focused on quantum chaos and on various types of zeta functions.
Richard Steven Varga was an American mathematician who specialized in numerical analysis and linear algebra. He was an Emeritus University Professor of Mathematical Sciences at Kent State University and an adjunct Professor at Case Western Reserve University. Varga was known for his contributions to many areas of mathematics, including matrix analysis, complex analysis, approximation theory, and scientific computation. He was the author of the classic textbook Matrix Iterative Analysis. Varga served as the Editor-in-Chief of the journal Electronic Transactions on Numerical Analysis (ETNA).
Donald Lyman Burkholder was an American mathematician known for his contributions to probability theory, particularly the theory of martingales. The Burkholder–Davis–Gundy inequality is co-named after him. Burkholder spent most of his professional career as a professor in the Department of Mathematics of the University of Illinois at Urbana-Champaign. After his retirement in 1998, Donald Burkholder remained a professor emeritus in the Department of Mathematics of the University of Illinois at Urbana-Champaign and a CAS Professor Emeritus of Mathematics at the Center for Advanced Study, University of Illinois at Urbana-Champaign. He was a member of the U.S. National Academy of Sciences and a fellow of the American Mathematical Society.
Veeravalli Seshadri Varadarajan was an Indian mathematician at the University of California, Los Angeles, who worked in many areas of mathematics, including probability, Lie groups and their representations, quantum mechanics, differential equations, and supersymmetry.
Henry Berge Helson was an American mathematician at the University of California at Berkeley who worked on analysis.
David Archibald Cox is a retired American mathematician, working in algebraic geometry.
Peter Larkin Duren was an American mathematician. He specialized in mathematical analysis and was known for the monographs and textbooks he has written.
Peter Michael Rosenthal is Canadian-American Professor Emeritus of Mathematics at the University of Toronto, an adjunct professor of Law at the University of Toronto, and a lawyer in private practice.
Donald Erik Sarason was an American mathematician whose research topics included Hardy space theory and VMO. As a professor at the University of California, Berkeley he became the doctoral advisor of 39 graduate students.
Nikolai Kapitonovich Nikolski is a Russian mathematician, specializing in real and complex analysis and functional analysis.
Anne Schilling is an American mathematician specializing in algebraic combinatorics, representation theory, and mathematical physics. She is a professor of mathematics at the University of California, Davis.
John Edward McCarthy is a mathematician. He is currently the Spencer T. Olin Professor of Arts and Sciences, and former chair of the Department of Mathematics and Statistics at Washington University in St. Louis. He works in operator theory and several complex variables, and applications of mathematics to other areas.