Measure, Integration, and Real Analysis

preliminary edition

Sheldon Axler

This book seeks to provide students with a deep understanding of the definitions, theorems, and proofs related to measure, integration, and real analysis. The content and level of this book fit well with the first-year graduate course on these topics at most American universities. This textbook features a reader-friendly style and format that will appeal to today's students.



Seeking: Faculty to class test the book in Spring 2018 or Fall 2018 (before official publication). Please contact me (measure@axler.net) if you are interested in this possibility. Free electronic copies of the book will be provided for all students in classes that are testing the book.

Excerpts from reviews of the author's book Linear Algebra Done Right

Altogether, the text is a didactic masterpiece.
zbMATH

Axler demotes determinants (usually quite a central technique in the finite dimensional setting, though marginal in infinite dimensions) to a minor role. To so consistently do without determinants constitutes a tour de force in the service of simplicity and clarity; these are also well served by the general precision of Axler's prose... The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library.
Choice

The determinant-free proofs are elegant and intuitive.
American Mathematical Monthly

Clarity through examples is emphasized... the text is ideal for class exercises... I congratulate the author and the publisher for a well-produced textbook on linear algebra.
Mathematical Reviews


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