Elementary Number Theory
1st Corrected ed. 1998. Corr. 2nd printing 1998
Book Details
Format
Paperback / Softback
Book Series
Springer Undergraduate Mathematics Series
ISBN-10
3540761977
ISBN-13
9783540761976
Edition
1st Corrected ed. 1998. Corr. 2nd printing 1998
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 14th, 1998
Print length
302 Pages
Weight
472 grams
Dimensions
23.30 x 15.70 x 1.70 cms
Product Classification:
Number theory
Ksh 5,400.00
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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.
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.
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