最 低 价：￥305.10
定 价：￥406.80
作 者：Robert D. Carmichael 著 著
出 版 社：Oversea Publishing House
出版时间：2006-6-1
I S B N：9780486438030
| CHAPTER I. ELEMENTARY PROPERTIES OF INTEGERS 1. FUNDAMENTAL NOTIONS AND LAWS 2. DEFINITION OF DIVISIBILIV. THE UNIT 3. PRIME NUMBERS. THE SIEVE OF ERATOSTHENES 4. THE NUMBER OF PRIMES IS INFINITE 5. THE FUNDAMENTAL THEOREM OF EUCLID 6. DIVISIBILITY BY A PRIME NUMBER 7. THE UNIQUE FACTORIZATION THEOREM 8. THE DIVISORS OF AN INTEGER 9. THE GREATEST COMMON FACTOR OF TWO OR MORE INTEGERS 10. THE LEAST COMMON MULTIPLE OF TWO OR MORE INTEGERS 11. SCALES OF NOTATION 12. HIGHEST POWER OF A PRIME p CONTAINED IN 13. REMARKS CONCERNING PRIME NUMBERS CHAPTER II. ON THE INDICATOR OF AN INTEGER 14. DEFINITION. INDICATOR OF A PRIME POWER 15. THE INDICATOR OF A PRODUCT I6. THE INDICATOR OF ANY POSITIVE INTEGER 17. SUM OF THE INDICATORS OF THE DIVISORS OF A NUMBER CHAPTER III. ELEMENTARY PROPERTIES OF CONGRUENCES 18. CONGRUENCES MODULO m 19. SOLUTIONS OF CONGRUENCES BY TRIM 20. PROPERTIES OF CONGRUENCES RELATIVE TO DIVISION 2I. CONGRUENCES WITH A PRIME MODULUS 22. LINEAR CONGRUENCES CHAPTER IV. THE THEOREMS OF FERMAT AND WILSON 23. FERMAT'S GENERAL THEOREM 24. EULER'S PROOF OF THE SIMPLE FERMAT THEOREM 25. WILSON'S THEOREM 26. THE CONVERSE OF WrLSON'S THEOREM 27. IMPOSSIBILITY OF 28. EXTENSION OF FERMAT'S THEOREM 29. ON THE CONVERSE OF FERMAT'S SIMPLE THEOREM 30. APPLICATION OF PREVIOUS RESULTS TO LINEAR CONGRUENCES 3I. APPLICATION OF THE PRECEDING RESULTS TO THE THEORY OF QUADRATIC RESIDUES CHAPTER V. PRIMITIVE ROOTS MODULO m 32. EXPONENT OF AN INTEGER MODULO m 33. ANOTHER PROOF OF FERMAT'S GENERAL THEOREM 34. DEFINITION OF PRIMITIVE ROOTS 35. PRIMITIVE ROOTS MODULO p 36. PPaMITIVE ROOTS MODULO pa, p AN ODD PlUmE 37. PRIMITIVE ROOTS MODULO 2pa, p AN ODD PRIME 38. RECAPITULATION 39. PRIMITIVE k-ROOTS CHAPTER VI. OTHER TOPICS 4o. INTRODUCTION 41. THEORY OF QUADRATIC RESIDUES 42. GALOIS IMAGINARIES 43. ARITHMETIC FORMS 44. ANALYTICAL THEORY OF NUMBERS 45. DIOPHANTINE EQUATIONS 46. PYTHAGOREAN TRIANGLES 47. THE EQUATION xn+yn=yn |
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