ENGLISH

Elementary number theory

By Gareth A. Jones , Josephine M. Jones

Book information

Publisher
Springer
Year
1998
ISBN
3540761977, 9783540761976
LCC
QA241 .J62 1998
Language
english
Format
DJVU
Filesize
2 MB (1916421 bytes)
Series
Springer Undergraduate Mathematics Series
Pages
317\317
Library
Kolxo3
DPI
300
Orientation
portrait
Paginated
no
Scanned
yes
Time added
2010-07-29 05:14:56

Description

This book gives an elementary undergraduate-level introduction to Number Theory, with the emphasis on carefully explained proofs and worked examples. Exercises, with solutions, are integrated into the text as part of the learning process. 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 more advanced topics such as Dirichlet series and sums of squares. The last chapter gives a concise account of Fermat's Last Theorem, from its origins in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

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