Krizek M., Somer L., Luca F. — 17 Lectures on Fermat Numbers: From Number Theory to Geometry :: Электронная библиотека попечительского совета мехмата МГУ

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Krizek M., Somer L., Luca F. — 17 Lectures on Fermat Numbers: From Number Theory to Geometry

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Название: 17 Lectures on Fermat Numbers: From Number Theory to Geometry

Авторы: Krizek M., Somer L., Luca F.

Аннотация:

The pioneering work of French mathematician Pierre de Fermat has attracted the attention of mathematicians for over 350 years. This book was written in honor of the 400th anniversary of his birth, providing readers with an overview of the many properties of Fermat numbers and demonstrating their applications in areas such as number theory, probability theory, geometry, and signal processing. This book introduces a general mathematical audience to basic mathematical ideas and algebraic methods connected with the Fermat numbers.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 257

Добавлена в каталог: 11.04.2008

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Предметный указатель

Solution, unstable      177 178
Somer, L.      50 77 136 137 141-144 146 163
Sonar      171
Space      188
Spearman, B.      86
Spiral      xv
Spiral, Fermat      vii
Square      xiii 6 7 10 11 17 31 49 50 63 68 94 98 99 150 151 161
Square, magic      ix xv
Square, perfect      94 152
Square-free kernel      140 150
Stanyukovich, K. P.      179 182 184-186
Star, 17-pointed      194 196
Stereometry      163
Steuerwald, R.      133
Stewart, C.L.      70 75
Stewart, I.      8 32 201 203
Stillwell, J.      xvii
Straight line      12
Straight line segment      197
Straightedge      2
Strassen, V.      137 165 167 173
Straus, E.G.      104 105 113
Structural vibration      167
Subfield      187 192
Subgraph      55
Subgroup      192
Subideal      154
Subsequence      182
Suk, M.      170
Sum, irrational      108
Sum, of the reciprocals      108 162
Sum, of the series      104 107 108 114
Sunzi, S.      14
Supercomputer      4
Supercomputing      7
Superpseudoprime      3 139 141-144 150-152 160
Suyama, H.      5 46 64 65
Symbol, Jacobi      25 42-44 137
Symbol, Legendre      23-25 151
Symmetrization      55
Symmetry      17 82 86
System, binary      32
System, convolution      171
System, dynamical      178
System, dynamical biological      177
System, of congruences      72
System, of equations      191
System, of simultaneous congruences      14
Szalay, L.      54 55
Szebehely, V.      104
Szymiczek, K.      132 135 143 144 152 160
Tangent      vii xiv xv
Tardif      210
Tasche, M.      166 171
Taura      210
Taylor, R.      xii 1 68
Test, deterministic primality      47 138
Test, Lucas      41
Test, Lucas - Lehmer      182 214
Test, Pepin's      5 42 43 46 56 70 165
Test, primality      49 70
Test, probabilistic primality      137 138
Test, Selfridge      42
Test, Solovay - Strassen primality      138
Test, statistical      173
Test, strong probabilistic primality      47
tetrahedron      163 164
Theon of Alexandria      x
Theorem, Antonyuk, Stanyukovich      185
Theorem, binomial      60 68 74 151
Theorem, Bolyai      31
Theorem, Carmichael      21 136 145
Theorem, Chang      176
Theorem, Chinese remainder      14-16 22 71 150 171
Theorem, Cipolla      132 133 152
Theorem, converse      163
Theorem, Dirichlet      22 77 162
Theorem, Erd $\ddot{o}$ s      113
Theorem, Erd $\ddot{o}$ s, Straus      113
Theorem, Euclid      9 215
Theorem, Euclid for a right triangle      197
Theorem, Euclid on the infinitude of primes      9 33
Theorem, Euler      20 21 38 41 42 49 175 215
Theorem, Fermat's last      vii xi xii xvi 1 68 69
Theorem, Fermat's last, first case      69
Theorem, Fermat's little      vii xv-xvii 1 6 16-18 24 30 31 36 38 45 47 60 64 70 119 130 132 135 138 140 151 157 214
Theorem, four-squares      x
Theorem, fundamental of algebra      198
Theorem, fundamental of arithmetic      9 10
Theorem, Gauss      33 34 109 164 187 188 190-192 194 205
Theorem, Goldbach      33 38 40 45 47 56 60 69 112 132 134 143 147 152 161 176 184
Theorem, Heath      216
Theorem, Inkeri      46
Theorem, Jones, Pearce      57
Theorem, Korselt      136
Theorem, Lucas      6 39 40 49 59 64 68 74 76 101 143 152 159 160-162
Theorem, McIntosh      46
Theorem, Pocklington      70 71
Theorem, prime number      5 135 158
Theorem, Proth      70 71
Theorem, Racli $\k{s}$       30

Theorem, Rotkiewicz      133 139
Theorem, S $\acute{a}$ ndor      113
Theorem, Schinzel      140 143
Theorem, Sierpi $\acute{n}$ ski      71 72
Theorem, Sophie Germain      32
Theorem, Suyama      40 70 71 78 79
Theorem, Szalay      55
Theorem, Szymiczek      153
Theorem, Wieferich      69
Theorem, Wilson      47-49
Theorem, Zsigmondy      140 144
Theory, algebraic number      154
Theory, analytic number      73
Theory, Galois      33 187 192
Theory, Gauss      193
Theory, group      3
Theory, Jacobi      x
Theory, number      vii xiii 14 16 22 33 35 94 130 158 165
Theory, of chaos      177
Theory, of fields      188
Theory, of indices      18
Theory, perturbation      182 184
Torricelli, E.      xi
Transcendence      115
Transform, digital      167
Transform, discrete Fourier      167
Transform, discrete weighted      171
Transform, fast Fourier      167
Transform, Fermat number      3 165 170
Transform, Fourier      166 167 171
Transform, inverse      168
Transform, Laplace      166
Transform, linear invertible      168
Transform, Mersenne number      217
Transform, number-theoretic      165 171
Transform, pseudo - Fermat number      170
Transformation      169
Transition to chaos      178
Transitivity      14 188
Tree, bifurcation      184 186
Tree, binary      56
Tree, of cyclotomic polynomials      186
Trevisan, V.      5
Trial division      3 6 63
triangle      x 100
Triangle, equilateral      x
Triangle, Heron      97 98
Triangle, infinite      80
Triangle, isosceles      98
Triangle, Pascal      35 80 83 85 86
Triangle, Pythagorean      xiii
Triangle, right      197 203
Triangle, similar      191
Triangular Fermat      82 97
Trigonometry      ix
Triple, Pythagorean      98 100
Triple, reduced Pythagorean      101
Truong, T. K.      170 171
Tuckerman, B.      5 63 142 153 212 214
Tukey, J.W.      167
Twin primes      66 157
Universe      4 187
Vaidya, A.M.      94 97
Vajter $\check{s}$ ic, M.      170
Van Halewyn, C.      5 210
Van Maanen, J.      44
Vandiver, H. S.      140 148
Varshney, A. K.      154
Vasilenko, O. N.      29 43 45 58
Vassilev - Missana, M.      19
Vertex      55 164
Very large      165
Vi $\grave{e}$ te, F.      viii xii xv
Viallet, C. - M.      177
von Neumann, J.      165
Voorhees, B.      56
W $\acute{o}$ jtowicz, M.      73 154
Wagstaff, S. S.      5 63 135 139 142 152 153 212 214
Wallis, J.      xv
Wantzel, P. L.      2 187 205
Warren, L. R. J.      68 217
Watabe, M.      154
Watkins, W.      35
Weil, A.      32
Welch, L.R.      170
West, N.      70
Western, A. E.      4 5 39 208 210
Wiedemann, D.      154
Wieferich, A.      69
Wiles, A.      xii 1 68
Williams, H. C.      3 4 11 32 43 46 70 73 86 134 137 138 156 208
Wilson      47
Windows      178 180
Wrathall, C. P.      5 210
Wright, E. M.      5 32 33 38 39 158
Yamane, N.      171
Yang, H.      14
Yang, W. Q.      171
Young, J.      5 43 73 173 209
Yu, P. N.      170
Zarnke, C.R.      156
Zsigmondy, K.      140
Zuckerman, H. S.      19 20 24 25 32

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