ELEMENTARY NUMBER THEORY by Jones, Gareth A ISBN 3540761977
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[edit] ELEMENTARY NUMBER THEORY
This is an elementary undergraduate level introduction to number theory, with carefully explained proofs and numerous exercises and worked examples. A feature of particular interest is a concise account of Fermat's Last Theorem and its recent proof by Andrew Wiles.
This book gives an undergraduate-level introduction to Number Theory, with the emphasis on fully explained proofs and examples; exercises (with solutions) are integrated into the text. The first few chapters, covering divisibility, prime numbers and modular arithmetic, assume only basic school algebra, and are therefore suitable for first or second year students as an introduction to the methods of pure mathematics. Elementary ideas about groups and rings (summarised in an appendix) 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.
[edit] Book Details
[edit] Title
ELEMENTARY NUMBER THEORY
[edit] Author
Jones, Gareth A
[edit] ISBN
3540761977
[edit] Published
31/07/1998
[edit] Publisher
Springer-Verlag GmbH., Germany
[edit] Binding
paperback
[edit] Retail Price
19.95 (GBP)
[edit] Typical Price Online
17.95 (GBP)
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