Elementary Number Theory by Gareth A Jones

Elementary Number Theory by Gareth A Jones

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Summary

Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back­ ground or maturity from the reader, and which can be read and understood with no extra assistance.

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Elementary Number Theory by Gareth A Jones

An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

From the reviews:

BULLETIN OF MATHEMATICS BOOKS

"?as a nice concluding chapter on Fermat? Last Theorem, with a brief discussion on the coup de grace"

 

G.A. Jones and J.M. Jones

Elementary Number Theory

"A welcome addition . . . a carefully and well-written book."—THE MATHEMATICAL GAZETTE

"This book would make an excellent text for an undergraduate course on number theory."

—MATHEMATICAL REVIEWS

SKU Unavailable
ISBN 13 9783540761976
ISBN 10 3540761977
Title Elementary Number Theory
Author Gareth A Jones
Series Springer Undergraduate Mathematics Series
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Year published 1998-01-14
Number of pages 302
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable