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Description - Understanding Analysis by Stephen Abbott

Introduction to the Problems in Analysis outlines an elementary, one semester course which exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Does the Cantor set contain any irrational numbers? Can the set of points where a function is discontinuous be arbitrary? Can the rational numbers be written as a countable intersection of open sets? Is an infinitely differentiable function necessarily the limit of its Taylor series? Giving these topics center stage, the motivation for a rigorous approach is justified by the fact that they are inaccessible without it.

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Book Details

ISBN: 9780387950600
ISBN-10: 0387950605
Format: Hardback
(234mm x 156mm x 17mm)
Pages: 260
Imprint: Springer-Verlag New York Inc.
Publisher: Springer-Verlag New York Inc.
Publish Date: 17-Feb-2001
Country of Publication: United States

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Books By Stephen Abbott

Understanding Analysis by Stephen Abbott
Paperback, October 2016