Fundamental Number Theory with Applications

Front Cover
CRC Press, Sep 10, 1997 - Mathematics - 464 pages
Beginning with the arithmetic of the rational integers and proceeding to an introduction of algebraic number theory via quadratic orders, Fundamental Number Theory with Applications reveals intriguing new applications of number theory. This text details aspects of computer science related to
  • cryptography
  • factoring
  • primality testing
  • complexity analysis
  • computer arithmetic
  • computational number theory
    Fundamental Number Theory with Applications also covers:
  • Carmichael numbers
  • Dirichlet products
  • Jacobsthal sums
  • Mersenne primes
  • perfect numbers
  • powerful numbers
  • self-contained numbers
    Numerous exercises are included, testing the reader's knowledge of the concepts covered, introducing new and interesting topics, and providing a venue to learn background material.
    Written by a professor and author who is an accomplished scholar in this field, this book provides the material essential for an introduction to the fundamentals of number theory.
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    Contents

    Section 1
    1
    Section 2
    15
    Section 3
    18
    Section 4
    20
    Section 5
    21
    Section 6
    22
    Section 7
    24
    Section 8
    75
    Section 24
    199
    Section 25
    206
    Section 26
    207
    Section 27
    216
    Section 28
    221
    Section 29
    227
    Section 30
    233
    Section 31
    241

    Section 9
    83
    Section 10
    89
    Section 11
    94
    Section 12
    99
    Section 13
    103
    Section 14
    118
    Section 15
    140
    Section 16
    145
    Section 17
    150
    Section 18
    172
    Section 19
    185
    Section 20
    188
    Section 21
    189
    Section 22
    194
    Section 23
    198
    Section 32
    246
    Section 33
    247
    Section 34
    272
    Section 35
    273
    Section 36
    300
    Section 37
    326
    Section 38
    347
    Section 39
    350
    Section 40
    361
    Section 41
    381
    Section 42
    416
    Section 43
    418
    Section 44
    423
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