Introduction to Mathematical Analysis

C. Clapham

ISBN 10: 0710075294 / ISBN 13: 9780710075291

Published by Springer, Springer Mai 1973, 1973

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 92 pp. Englisch.

Seller Inventory # 9780710075291

Bibliographic Details

• Title: Introduction to Mathematical Analysis
• Publisher: Springer, Springer Mai 1973
• Publication Date: 1973
• Language: English
• ISBN 10: 0710075294
• ISBN 13: 9780710075291
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 203W x 127H x 6D millimeters 203 millimeters width by 127 millimeters height by 6 millimeters depth
• Weight: 109 grams

About this title

Synopsis

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.