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The new edition of this popular text is revised to meet the suggestions of users of the previous edition. A readable yet rigorous approach to an essential part of mathematical thinking, this text bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition from logic and proofs to real analysis. Along with the basic material, the text covers Riemann-Stieltjes integrals, Fourier analysis, metric spaces and applications, and differential equations.
Über den Autor / die Autorin
Steven G. Krantz is a professor of mathematics at Washington University in St. Louis. He has previously taught at UCLA, Princeton University, and Pennsylvania State University. He has written more than 65 books and more than 175 scholarly papers and is the founding editor of the Journal of Geometric Analysis. An AMS Fellow, Dr. Krantz has been a recipient of the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize. He received a Ph.D. from Princeton University.
Zusammenfassung
The first three editions of this popular textbook attracted
a loyal readership and widespread use. Students find the book to be concise, accessible, and
complete. Instructors find the book to be clear, authoritative, and dependable.
The goal of this new edition is to make real analysis relevant and accessible
to a broad audience of students with diverse backgrounds. Real analysis
is a basic tool for all mathematical scientists, ranging from mathematicians to physicists to
engineers to researchers in the medical profession. This text aims to be the
generational touchstone for the subject and the go-to text for developing young
scientists.
In this new edition we endeavor to make the book accessible to a broader
audience. This edition includes more explanation, more elementary examples,
and the author stepladders the exercises. Figures are updated and clarified. We make
the sections more concise, and omit overly technical details.
We have updated and augmented the multivariable material in order to bring out
the geometric nature of the topic. The figures are thus enhanced and fleshed out.
Features
- A renewed enthusiasm for the topic comes through in a revised presentation
- A new organization removes some advanced topics and retains related ones
- Exercises are more tiered, offering a more accessible course
- Key sections are revised for more brevity
