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Analysis

Analysis - 04 edition

ISBN13: 978-0521600477

Cover of Analysis 04 (ISBN 978-0521600477)
ISBN13: 978-0521600477
ISBN10: 0521600472 Edition: 04
Copyright: 2004
Publisher: Cambridge University Press
Published: 2004
International: No

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Analysis - 04 edition

ISBN13: 978-0521600477

Richard Beals

ISBN13: 978-0521600477
ISBN10: 0521600472 Edition: 04
Copyright: 2004
Publisher: Cambridge University Press
Published: 2004
International: No
Summary

This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.


--Self-contained coverage of basic analysis, from fundamentals to more advanced topics


--Designed to enhance understanding through numerous remarks, examples, and 500 exercises


--Clear but concise treatment of many interesting examples and applications

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