A comprehensive course in number theory /
"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...
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| Autor Principal: | |
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| Formato: | Libro |
| Idioma: | English |
| Publicado: |
New York :
Cambridge University Press,
2012.
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| Materias: | |
| Acceso en línea: | Cover image |
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Tabla de Contenidos:
- 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.