Mathematical Analysis and Proof book cover

Mathematical Analysis and Proof

This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid presentation that the development reads naturally and in a straightforward progression. Retaining the core text, the second edition has additional worked examples which users have indicated a need for, in addition to more emphasis on how analysis can be used to tell the accuracy of the approximations to the quantities of interest which arise in analytical limits.

Paperback, 262 Pages

Published: April 2009

Imprint: Woodhead Publishing

ISBN: 978-1-904275-40-4

Reviews

  • Carefully treads the fine line between accuracy and exactitude. A comprehensive introduction, very much in the classical mould, chatty and written with common student misunderstandings in mind. Should be in your undergraduate reference library., The Mathematical Gazette
    Self-contained and one of the better books. I will definitely and without hesitation recommend and encourage other lecturers to give it serious consideration as a teaching aid., Mathematics Today

Contents

  • Setting the scene; Logic and deduction; Mathematical induction; Sets and numbers; Order and inequalities; Decimals; Limits; Infinite series; Structure of real number system; Continuity; Differentiation; Functions defined by power series; Integration; Functions of several variables; Appendix: The expression of an integer as a decimal; References and further reading; Hints and solutions.

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