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Introduction to Mathematical Analysis

  • Book
  • © 1973

Overview

Part of the book series: Library of Mathematics (LIMA)

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Table of contents (7 chapters)

Keywords

About this book

I have tried to provide an introduction, at an elementary level, to some of the important topics in real analysis, without avoiding reference to the central role which the completeness of the real numbers plays throughout. Many elementary textbooks are written on the assumption that an appeal to the complete­ ness axiom is beyond their scope; my aim here has been to give an account of the development from axiomatic beginnings, without gaps, while keeping the treatment reasonably simple. Little previous knowledge is assumed, though it is likely that any reader will have had some experience of calculus. I hope that the book will give the non-specialist, who may have considerable facility in techniques, an appreciation of the foundations and rigorous framework of the mathematics that he uses in its applications; while, for the intending mathe­ matician, it will be more of a beginner's book in preparation for more advanced study of analysis. I should finally like to record my thanks to Professor Ledermann for the suggestions and comments that he made after reading the first draft of the text.

Authors and Affiliations

  • Department of Mathematics, University of Aberdeen, UK

    C. R. J. Clapham

Bibliographic Information

  • Book Title: Introduction to Mathematical Analysis

  • Authors: C. R. J. Clapham

  • Series Title: Library of Mathematics

  • DOI: https://doi.org/10.1007/978-94-011-6572-3

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: C. R. J. Clapham 1973

  • Softcover ISBN: 978-0-7100-7529-1Published: 31 May 1973

  • eBook ISBN: 978-94-011-6572-3Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VII, 83

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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