A comprehensive course in number theory
 Author/Creator
 Baker, Alan, 1939
 Language
 English.
 Imprint
 Cambridge, UK ; New York : Cambridge University Press, 2012.
 Physical description
 xv, 251 p. ; 23 cm.
Access
Available online
 proquest.safaribooksonline.com Safari Books Online

Stacks

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QA241 .B237 2012

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QA241 .B237 2012
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. 240245) and index.
 Contents

 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 zetafunction 15. On the distribution of the primes 16. The sieve and circle methods 17. Elliptic curves Bibliography Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 zetafunction, the primenumber theorem and primes in arithmetical progressions, a description of the HardyLittlewood 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.
(source: Nielsen Book Data)  Supplemental links
 Cover image
Subjects
 Subject
 Number theory > Textbooks.
Bibliographic information
 Publication date
 2012
 Responsibility
 Alan Baker.
 Title Variation
 Number theory
 ISBN
 9781107019010
 110701901X
 9781107603790
 110760379X