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A companion to analysis : a second first and first second course in analysis

Author: Thomas William Korner
Publisher: Providence : American Mathematical Society, ©2004.
Series: Graduate studies in mathematics, 62
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Explains the problems that must be resolved in order to procure a rigorous development of the calculus and shows the student how to deal with those problems. Starting with the real line, this book  Read more...

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Document Type: Book
All Authors / Contributors: Thomas William Korner
ISBN: 0821834479 9780821834473
OCLC Number: 875690591
Description: XIV, 590 p. ; 26 cm.
Contents: The real line A first philosophical interlude Other versions of the fundamental axiom Higher dimensions Sums and suchlike $\heartsuit$ Differentiation Local Taylor theorems The Riemann integral Developments and limitations of the Riemann integral $\heartsuit$ Metric spaces Complete metric spaces Contraction mappings and differential equations Inverse and implicit functions Completion Appendices Executive summary Exercises Bibliography Index.
Series Title: Graduate studies in mathematics, 62
Responsibility: T.W. Korner.

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