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Limits : A New Approach to Real Analysis - Alan F. Beardon

Limits

A New Approach to Real Analysis

Hardcover

Published: 30th October 1997
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Intended as an undergraduate text on real analysis, this book includes all the standard material such as sequences, infinite series, continuity, differentiation, and integration, together with worked examples and exercises. By unifying and simplifying all the various notions of limit, the author has successfully presented a novel approach to the subject matter, which has not previously appeared in book form. The author defines the term limit once only, and all of the subsequent limiting processes are seen to be special cases of this one definition. Accordingly, the subject matter attains a unity and coherence that is not to be found in the traditional approach. Students will be able to fully appreciate and understand the common source of the topics they are studying while also realising that they are "variations on a theme", rather than essentially different topics, and therefore, will gain a better understanding of the subject.

Sets, relations and directions
Real and complex numbers
Limits
Four basic results
Infinite series
Periodic functions
Sequences
Limits and continuity
Derivatives
Integration
pi, y, e and n!
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387982748
ISBN-10: 0387982744
Series: Undergraduate Texts in Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 190
Published: 30th October 1997
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.27
Weight (kg): 0.47