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A Course in Advanced Calculus (Dover Books on Mathematics) - Softcover

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9780486672908: A Course in Advanced Calculus (Dover Books on Mathematics)

Synopsis

This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. The author achieves this ambitious undertaking by shifting easily from one related subject to another. Thus, discussions of topology, linear algebra, and inequalities yield to examinations of innerproduct spaces, Fourier series, and the secret of Pythagoras. Beginning with a look at sets and structures, the text advances to such topics as limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, and more.
Carefully chosen problems appear at the end of each chapter, and this new edition features an additional appendix of tips and solutions for selected problems.

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  • PublisherDover Publications
  • Publication date1997
  • ISBN 10 0486672905
  • ISBN 13 9780486672908
  • BindingPaperback
  • LanguageEnglish
  • Number of pages432
  • Rating
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Other Popular Editions of the Same Title

9780444006387: A Course in Advanced Calculus

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ISBN 10:  0444006389 ISBN 13:  9780444006387
Publisher: Elsevier Science Ltd, 1982
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