000			02591nam a22003378i 4500
001			CR9781139093835
003			UkCbUP
005			20200124160258.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110525s2012||||enk o ||1 0|eng|d
020			_a9781139093835 (ebook)
020			_z9781107019010 (hardback)
020			_z9781107603790 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA241 _b.B237 2012
082	0	0	_a512.7 _223
100	1		_aBaker, Alan, _d1939- _eauthor.
245	1	2	_aA comprehensive course in number theory / _cAlan Baker.
264		1	_aCambridge : _bCambridge University Press, _c2012.
300			_a1 online resource (xv, 251 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	8		_aMachine generated contents note: Preface; Introduction; 1. Divisibility; 2. Arithmetical functions; 3. Congruences; 4. Quadratic residues; 5. Quadratic forms; 6. Diophantine approximation; 7. Quadratic fields; 8. Diophantine equations; 9. Factorization and primality testing; 10. Number fields; 11. Ideals; 12. Units and ideal classes; 13. Analytic number theory; 14. On the zeros of the zeta-function; 15. On the distribution of the primes; 16. The sieve and circle methods; 17. Elliptic curves; Bibliography; Index.
520			_aDeveloped from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy-Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.
650		0	_aNumber theory _vTextbooks.
776	0	8	_iPrint version: _z9781107019010
856	4	0	_uhttps://doi.org/10.1017/CBO9781139093835
999			_c520176 _d520174