Real Analysis and Foundations, Second Edition (Textbooks in Mathematics)

Krantz, Steven G.

Published by Chapman and Hall/CRC, 2004
ISBN 10: 1584884835 / ISBN 13: 9781584884835
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Item is intact, but may show shelf wear. Pages may include notes and highlighting. May or may not include supplemental or companion material. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Bookseller Inventory #

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Synopsis: Students preparing for courses in real analysis often encounter either very exacting theoretical treatments or books without enough rigor to stimulate an in-depth understanding of the subject. Further complicating this, the field has not changed much over the past 150 years, prompting few authors to address the lackluster or overly complex dichotomy existing among the available texts.

The enormously popular first edition of Real Analysis and Foundations gave students the appropriate combination of authority, rigor, and readability that made the topic accessible while retaining the strict discourse necessary to advance their understanding. The second edition maintains this feature while further integrating new concepts built on Fourier analysis and ideas about wavelets to indicate their application to the theory of signal processing. The author also introduces relevance to the material and surpasses a purely theoretical treatment by emphasizing the applications of real analysis to concrete engineering problems in higher dimensions.

Expanded and updated, this text continues to build upon the foundations of real analysis to present novel applications to ordinary and partial differential equations, elliptic boundary value problems on the disc, and multivariable analysis. These qualities, along with more figures, streamlined proofs, and revamped exercises make this an even more lively and vital text than the popular first edition.

Review: The book is recommended as a source for middle-level mathematical courses. It can be used not only at mathematical department, but also by physicists, engineers, economists and other experts in applied sciences who want to understand the main ideas of Analysis in order to use them at the study of mathematical models of different type processes.
-Zentralblatt MATH

The book contains many well-chosen examples and each of the fifteen chapters is followed by almost 500 exercises. ...Illustrative pictures are instructive and the design of the book makes reading it a real pleasure. The book can be recommended for university libraries, teachers, and students.
-EMS Newsletter, Dec. 2005

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Title: Real Analysis and Foundations, Second ...
Publisher: Chapman and Hall/CRC
Publication Date: 2004
Binding: Hardcover
Book Condition: Acceptable

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