Numbers, Sequences and Series

Paperback | December 8, 1994

byKeith HirstEditorKeith Hirst

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Number and geometry are the foundations upon which mathematics has been built over some 3000 years. This book is concerned with the logical foundations of number systems from integers to complex numbers. The author has chosen to develop the ideas by illustrating the techniques used throughout mathematics rather than using a self-contained logical treatise. The idea of proof has been emphasised, as has the illustration of concepts from a graphical, numerical and algebraic point of view. Having laid the foundations of the number system, the author has then turned to the analysis of infinite processes involving sequences and series of numbers, including power series. The book also has worked examples throughout and includes some suggestions for self-study projects. In addition there are tutorial problems aimed at stimulating group work and discussion.

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From the Publisher

Number and geometry are the foundations upon which mathematics has been built over some 3000 years. This book is concerned with the logical foundations of number systems from integers to complex numbers. The author has chosen to develop the ideas by illustrating the techniques used throughout mathematics rather than using a self-contai...

Format:PaperbackDimensions:208 pages, 9 × 6 × 0.68 inPublished:December 8, 1994Publisher:Butterworth (trade)

The following ISBNs are associated with this title:

ISBN - 10:0340610433

ISBN - 13:9780340610435

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Table of Contents

Sets and logic * The integers * The rational numbers * Inequalities * The real numbers * Complex numbers * Sequences * Infinite series * Decimals * Further developments.