Comprehensive course in number theory
Baker, Alan, 1939-
Comprehensive course in number theory Alan Baker. - New Delhi Cambridge University Press, 2012. - xv, 251 p. : ill. ; 24 cm.
Formerly CIP.
Includes bibliographical references (p. 240-245) and index.
Machine 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.
"Developed 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"--
9781107619173 No price 9781107619173 No price 9781107603790 (pbk.) : No price 9781107619173 No price = Gratis Collection
2012013414
GBB250011 bnb
Number theory--Textbooks.
MATHEMATICS / Number Theory
QA241 / .B237 2012
512.7 B171C
Comprehensive course in number theory Alan Baker. - New Delhi Cambridge University Press, 2012. - xv, 251 p. : ill. ; 24 cm.
Formerly CIP.
Includes bibliographical references (p. 240-245) and index.
Machine 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.
"Developed 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"--
9781107619173 No price 9781107619173 No price 9781107603790 (pbk.) : No price 9781107619173 No price = Gratis Collection
2012013414
GBB250011 bnb
Number theory--Textbooks.
MATHEMATICS / Number Theory
QA241 / .B237 2012
512.7 B171C