An edition of Understanding Analysis (2001)

Understanding Analysis

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Understanding Analysis
Stephen Abbott, Stephen Abbott
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  • 5.0 (1 rating) ·
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Last edited by ImportBot
October 6, 2021 | History
An edition of Understanding Analysis (2001)

Understanding Analysis

  • 5.0 (1 rating) ·
  • 15 Want to read
  • 0 Currently reading
  • 1 Have read

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.

Publish Date
Publisher
Springer New York
Language
English

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Previews available in: English

Edition Availability
Cover of: Understanding Analysis
Understanding Analysis: Connections for Secondary Mathematics Teachers
2021, Springer International Publishing AG
in English
Cover of: Understanding Analysis
Understanding Analysis
Aug 22, 2016, Springer, imusti
hardcover
Cover of: Understanding Analysis
Understanding Analysis
2016, Springer New York
in English
Cover of: Understanding Analysis
Understanding Analysis
2015, Springer London, Limited
in English
Cover of: Understanding Analysis
Understanding Analysis
2010, Springer
in English
Cover of: Understanding Analysis
Understanding Analysis
July 12, 2002, Springer
in English
Cover of: Understanding Analysis
Understanding Analysis
2001, Island Press
in English

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Book Details


Classifications

Library of Congress
QA1-939

The Physical Object

Pagination
312
Weight
0.490

ID Numbers

Open Library
OL34644889M
ISBN 13
9781493950263

Source records

Better World Books record

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October 6, 2021 Created by ImportBot Imported from Better World Books record