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An introduction to the theory of numbers by G.H. Hardy and E.M. Wright

By: Contributor(s): Series: Oxford mathematicsPublication details: Oxford New York Oxford University Press 2008Edition: 6th ed edited by Roger Heath-Brown /with contributions by Joseph SilvermanDescription: xxi, 621 p ill 24 cmISBN:
  • 9780199219865 (Paper)
  • 0199219869 (Paper)
Subject(s): DDC classification:
  • 512.7
Other classification:
Contents:
PREFACE TO THE SIXTH EDITION; PREFACE TO THE FIFTH EDITION; 1. The Series of Primes (1); 2. The Series of Primes (2); 3. Farey Series and a Theorem of Minkowski; 4. Irrational Numbers; 5. Congruences and Residues; 6. Fermat's Theorem and its Consequences; 7. General Properties of Congruences; 8. Congruences to Composite Moduli; 9. The Representation of Numbers by Decimals; 10. Continued Fractions; 11. Approximation of Irrationals by Rationals; 12. The Fundamental Theorem of Arithmetic in k(l), k(i), and k(p); 13. Some Diophantine Equations; 14. Quadratic Fields (1); 15. Quadratic Fields (2); 16. The Arithmetical Functions o(n), (n), *d(n), sigma(n), r(n); 17. Generating Functions of Arithmetical Functions; 18. The Order of Magnitude of Arithmetical Functions; 19. Partitions; 20. The Representation of a Number by Two or Four Squares; 21. Representation by Cubes and Higher Powers; 22. The Series of Primes (3); 23. Kronecker's Theorem; 24. Geometry of Numbers; 25. Elliptic Curves; APPENDIX; LIST OF BOOKS; INDEX OF SPECIAL SYMBOLS AND WORDS; INDEX OF NAMES; GENERAL INDEX
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Previous ed.: 1979

Cuprinde bibliografie si index

PREFACE TO THE SIXTH EDITION; PREFACE TO THE FIFTH EDITION; 1. The Series of Primes (1); 2. The Series of Primes (2); 3. Farey Series and a Theorem of Minkowski; 4. Irrational Numbers; 5. Congruences and Residues; 6. Fermat's Theorem and its Consequences; 7. General Properties of Congruences; 8. Congruences to Composite Moduli; 9. The Representation of Numbers by Decimals; 10. Continued Fractions; 11. Approximation of Irrationals by Rationals; 12. The Fundamental Theorem of Arithmetic in k(l), k(i), and k(p); 13. Some Diophantine Equations; 14. Quadratic Fields (1); 15. Quadratic Fields (2); 16. The Arithmetical Functions o(n), (n), *d(n), sigma(n), r(n); 17. Generating Functions of Arithmetical Functions; 18. The Order of Magnitude of Arithmetical Functions; 19. Partitions; 20. The Representation of a Number by Two or Four Squares; 21. Representation by Cubes and Higher Powers; 22. The Series of Primes (3); 23. Kronecker's Theorem; 24. Geometry of Numbers; 25. Elliptic Curves; APPENDIX; LIST OF BOOKS; INDEX OF SPECIAL SYMBOLS AND WORDS; INDEX OF NAMES; GENERAL INDEX

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