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

About the Author
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.

Reviews

This is a "rigorous" introduction to real analysis for more advanced undergraduate students of mathematics. The text requires only that readers have a strong background in calculus. Krantz (Washington Univ., St. Louis) has removed several advanced chapters from earlier editions (CH, Apr'92, 29-4571) to strengthen the book's focus on basics. The only advanced topic that remains is harmonic analysis. The removal of advanced material enables the author to discuss the fundamental parts of the subject in more detail and to include more exercises (about ten per section, appearing in increasing order of difficulty). In the same spirit, there are multiple appendixes, as well as a very detailed glossary and a table of notation. The theorems, lemmas, and examples are always connected by some context, making it easy for students to see the big picture and how the discussed results fit within this picture. This reviewer's only critical remark is that no exercises offer solutions, which makes self-study difficult.
--M. Bona, University of Florida

Book Information
ISBN 9781498777681
Author Steven G. Krantz
Format Hardback
Page Count 408
Imprint Productivity Press
Publisher Taylor & Francis Inc
Weight(grams) 720g