Adler A., Coury J. — The Theory of Numbers. A Text and Source Book of Problems :: Электронная библиотека попечительского совета мехмата МГУ

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Adler A., Coury J. — The Theory of Numbers. A Text and Source Book of Problems

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Название: The Theory of Numbers. A Text and Source Book of Problems

Авторы: Adler A., Coury J.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 415

Добавлена в каталог: 25.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Al-Karaji      221
al-Khwarizmi      7
Algebra (Euler)      356
Approximations to $\pi$       284 301
Approximations, best rational      284
Approximations, rational      282
Arithmetica (Diophantus)      267
Aryabhata      37
Associate      358 367
Bachet, Claude      6
Bertrand's postulate      201
Bhaskara      355
Binary gcd algorithm      36
Binary quadratic form      388
Brahmagupta's identity      320
Brouncker, William      314
Calendars      47 285
Carmichael function      187
Carmichael number      86
Ch'in Chiu-Shao      68
Chebyshev, Pavnuty      218
Chinese remainder theorem      46
de Fermat, Pierre      98
Disquisitiones Arithmeticae (Gauss)      69
Divisibility tests      42
Division algorithm      7 359
Division algorithm for polynomials      103
divisors      7
Divisors, number of positive      12
Divisors, proper      10
Divisors, sum of positive      12
Eisenstein, Ferdinand      156
Elements (Euclid)      37
Euclid      37
Euclidean algorithm      14
Euclidean Algorithm, Extended Euclidean Algorithm      15
Euclidean quadratic field      368
Euler $\phi$ function      15
Euler's criterion      73 129
Euler's theorem      76
Euler, Leonhard      99
Extended Euclidean algorithm      15

Factoring large numbers      347
Factoring Method, Legendre's      327
Factorization, prime      11
Fermat number      198
Fermat prime      198
Fermat's last theorem      224
Modulus      40
Multiple      7
Multiplicative function      13
Nonresidue, quadratic      128
Norm, Gaussian      358
Norm, in $Q(\sqrt{d})$       367
Number of positive divisors      12
Number of representations      228 235
Order of an integer      159
Partial quotient      271
Pell's equation      314
Pell's Equation, $x^{2} - dy^{2} = -1$       322
Pell's Equation, $x^{2} - dy^{2} = 1$       315
Pell's Equation, $x^{2} - dy^{2} = N$       324
Pell's Equation, least positive solution      317
Perfect number      196
Period of a continued fraction      278
Periodic continued fraction      278
Polynomial congruence, root      101
Polynomial congruence, solution      101 102 106
Power residue      165
Prime      10
Prime, $x^{k} \equiv a (\mod m)$       165
Prime, Gaussian      358
Sum of positive divisors      12
Sum of squares, four squares      233
Sum of squares, four squares, number of representations      235
Sum of squares, three squares      235
Sum of squares, two relatively prime squares      229
Sum of squares, two squares      228
Sum of squares, two squares, number of representations      229
Unique factorization theorem      11 361 369
Unit of $Q(\sqrt{d})$       367
Unit, Gaussian      358
Waring's problem      236
Wilson's theorem      73

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