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Zusatztext "Now the idea of a 250-page "comprehensive" introduction to number theory may seem audacious! but among mathematical writers! Baker manifestly possesses the powerful gifts for precision and concision that could even make it possible. Such a book surely demands very careful study! but amazingly never seems rushed or artificially compressed. Highly recommended." D.V. Feldman! University of New Hampshire for Choice Magazine Informationen zum Autor Alan Baker is Emeritus Professor of Pure Mathematics in the University of Cambridge and Fellow of Trinity College, Cambridge. His many distinctions include the Fields Medal (1970) and the Adams Prize (1972). Klappentext The author's classic concise introduction now fully updated and developed to suit courses extending from primers to introductions to research. "Now the idea of a 250-page "comprehensive" introduction to number theory may seem audacious, but among mathematical writers, Baker manifestly possesses the powerful gifts for precision and concision that could even make it possible. Such a book surely demands very careful study, but amazingly never seems rushed or artificially compressed. Highly recommended." D.V. Feldman, University of New Hampshire for Choice Magazine Zusammenfassung Developed from the author's classic concise introduction! this text begins with a brief! yet comprehensive! introduction to the rudiments of the subject before proceeding to more advanced topics such as factorisation and primality testing. Its breadth makes this book suitable for courses extending from the elementary to the graduate level. Inhaltsverzeichnis 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....
