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B.M. Stewart — Theory of Numbers

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Название: Theory of Numbers

Автор: B.M. Stewart

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-e

Год издания: 1964

Количество страниц: 390

Добавлена в каталог: 28.10.2012

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

Предметный указатель

A belongs to e mod m      128
Absolute value      7 303
Abundant number      64
Addiplication      275
Addition      264 291 357 366
Additive arithmetic      183
Algebraic extension      328
Algorithm      15
Amicable numbers      65
Associates      281
Associative laws      4 216 224
Base "six"      30
Basimal fraction      342
Bibliography      373
Binary quadratic form      241
Binomial theorem      13 117
Bracket function [x]      75
Cancellation law      90 271 363
cardinal number      215
Carmichael's lambda-function $\lambda(n)$       117
Casting out nines      86
Categorical      214
Cayley's theorem      229
Chinese remainder theorem      103
Cipher      108
Closed operation      84 213
Commutative group      217 260
Commutative laws      4
Complex fraction      347
Composite number      33 59 279
Congruence modulo m      82
Congruences      91 118
Congruences, $ax\equiv b$ mod m      91 93
Congruences, $ax^{2}+bx+c\equiv 0$ mod m      142
Congruences, $F(x)\equiv 0$ mod m      118—126
Congruences, $x^{2}\equiv a$ mod m      142—151
Congruences, $x^{d}\equiv a$ mod m      128—131 136
Congruences, Chinese system      103
Congruences, system of linear      106
conjugate      279
Consistency      213
Continued fractions, finite      346
Continued fractions, infinite      351
Continued fractions, periodic      353
Convergents      346
Coset product      254
Cyclic group G(m)      252—253 272
Decimal fractions      331
Deficient numbers      64
Determinant      236 272
Determinative property      83
Difference of two squares      196
Diophantine equations      96
Diophantine equations, $x^{2}+2y^{2}=z^{2}$       160
Diophantine equations, $x^{2}+y^{2}+z^{2}+w^{2}=n$       186—190
Diophantine equations, $x^{2}+y^{2}=n$       192—196 246
Diophantine equations, $x^{2}+y^{2}=z^{2}$       153
Diophantine equations, $x^{2}-y^{2}=n$       196
Diophantine equations, $x^{4}+2y^{4}=z^{2}$       178
Diophantine equations, $x^{4}+y^{4}=z^{2}$       176
Diophantine equations, $x^{4}-2y^{4}=z^{2}$       178
Diophantine equations, $x^{4}-8y^{4}=z^{2}$       177
Diophantine equations, $x^{n}+y^{n}=z^{n}$       175
Diophantine equations, ax+by+cz=n      98
Diophantine equations, ax+by=n      96 349
Diophantine equations, f(x,y)=n      239
Diophantine equations, homogeneous quadratic      162
Diophantine equations, linear in four unknowns      99
Diophantine equations, system of linear      100
Direct product      258
Discriminant      241
Distributive laws      4 264
Division algorithm      16 75 282 316
Domain, $J\sqrt{10}$       284
Domain, $J\sqrt{3}$       282
Domain, $J\sqrt{5}$       284
Domain, abstract      271
Domain, matric      285
Domain, polynomial      315
Domain, rational, J or [Ra]      295
Egyptian fractions      198
Equivalence relation      83
Equivalent functions      239
Equivalent sets      215
Erdoes conjecture      203 207
Escribed circles      160
Euclid algorithm      34 39 43 283 317 349
Euler's phi-function $\phi(n)$       71 112
Euler's theorem      116
Exponent of a mod m      128
Exponent of p in n!, E(p,n)      78
exponentiation      13 363
Extension, algebraic      328
Extension, transcendental      319 329
Factor      33 279
Factor tables      56
Factorial, r!      13
Fermat numbers      58
Fermat's last theorem      175
Fermat's theorem      116
Fibonacci numbers      191
Field, abstract      271
Field, Galois      272 273
Field, modular      323
Field, quotient      292
Field, rational, Ra      295
Field, real, Re      335
Formal series      310
Fundamental lemma      47
Fundamental theorem      48 283 318
Galois field      272
Greatest common divisor      34
Group, abstract      216
Group, commutative      217
Group, cyclic      253
Group, direct lattice      238
Group, direct product      259
Group, lattice      236
Group, quotient      255
Group, transformation      225
Group, translation      226
Hanoi      14
Harpedonaptae      160
history      see "Bibliography"
Homogeneous quadratic      162
Ideal, maximal      323
Ideal, two-sided      322
Identity element      5 216 224 265
Imprimitive triplet      154
Independence      213
Index of a subgroup      251
Indices of residue classes      134
Induction      8 11 12 357
Inequalities      6
Inradius      156
Integer distance property      160 173
Invariant subgroup      254
Inverse      216 219 225 235 273
Irrational numbers      341
Isomorphism      216 229 265
Jacobi symbol      151
Lagrange's theorem      124
Lattice group      236
Lattice points      232
Least common multiple      50
Left-congruence      249
Left-cosets      250
Left-ideal, right-ideal      322
Legendre's symbol, (a/p)      144 149
Lemma      20

Linear transformation      232
Mapping      214
Mapping, into      214
mapping, many-to-one      214
mapping, one-to-one      215
Mapping, onto      214
Mathematical induction      8 11 357
Mathematical system      211
Matric multiplication      234
Matric ring M(R)      267
Matrix      232
Mersenne numbers      64
Method of descent      176
Modular field      323
Modular ring      323
Moebius function $\mu(n)$       68
Multiple      33 279
Multiplication      264 291 363 366
Multiplicative functions      66 72
Multiplicative induction      53
Multipliperfect numbers      65
Negative      264 369
Non-commutative group      227
Number of divisors $\tau(n)$       62 77
Number-theoretic function      62
One-to-one correspondence      215
Operation      213
Order      6 302
Ordered ring      300
padding      275
Parity      20
Peano's axioms      356
Perfect numbers      64
Periodic basimal      342
Periodic decimal      336
Polygonal numbers      185
Polynomial ring      315
Polynomials      314
positional notation      30
Positive definite form      242
Positive integer      370
Postulates      211—213
Prime numbers      33 279
Prime twins      54
Primitive root      131
Primitive triplet      154
Product of transformations      223
Proper representation      239
Proper subset      215
Pythagorean triplet      153
Quadratic, congruence      141
Quadratic, non-residue      142
Quadratic, reciprocity law      149
Quadratic, residue      142
Quaternion group      256
Quaternions      308
Quotient field      291
Rational, domain      295
Rational, field      295
Rational, functions      318
Rational, number      295
Rational, point      299
Real number      335
Reduced form      243
Reflexive property      83
Regular sequence      334
Related triples      163
Relatively prime      36 37
Representation      27
Residue classes      84 250 321
Residue system, absolutely least      91
Residue system, complete      91
Residue system, least positive      91
Residue system, reduced      91
Right-cosets      254
Ring, abstract      264
Ring, division      307
Ring, matric      267
Ring, modular      323
Ring, ordered      300
Ring, polynomial      315
Ring, well-ordered      304
Sequel      357
Sierpinski conjecture      203
Sieve      55 60
Simple fraction      347
Skew domain      306
Skew field      306
Slide rule      137
Solitaire      21
Strictly equivalent forms      246
Subgroup      248
Subgroup, cyclic      252
Subgroup, invariant      254
Subset      215
Sum of divisors $\sigma(n)$       63
Sum of four squares      188
Sum of two squares      195 246
Symbols, $(a_{n}...a_{1},a_{0})_{B}$       30
Symbols, in $S_{2}$       232
Symbols, $A\bar{A}$       279
Symbols, $a\equiv b$ mod m      82
Symbols, $b^{2}-4ac$       241
Symbols,       121
Symbols, $F_{m}$       58
Symbols, $ind_{a}b$       134
Symbols, $J\sqrt{q}$       276
Symbols, $J_{m}$       265
Symbols, $M_{k}$       64
Symbols, $x_{1},y_{1},z_{1}\sim x_{2},y_{2},z_{2}$       163
Symbols, $x_{2}=x_{1}F$       214
Symbols, $\dot{b}$       336 342
Symbols, $\lambda(n)$       117
Symbols, $\left(\begin{array}{cc} a & c \\ b & d \\ \end{array}\right)$       232
Symbols, $\left(\begin{array}{c}n\\r\\ \end{array} \right)$       13
Symbols, $\leftrightarrow$       366
Symbols, $\mu(n)$       68
Symbols, $\phi(n)$       71
Symbols, $\pi(x)$       59
Symbols, $\rightarrow$       366
Symbols, $\sigma(n)$       63
Symbols, $\tau(n)$       62
Symbols, $\{b_{0},b_{1}...,b_{i}\}$       346
Symbols, ${a_{i}}$       333
Symbols, (a,b)      366
Symbols, (a/p)      144
Symbols, (I), (II)      9
Symbols, (Q/P)      151
Symbols, a'      357
Symbols, a/b      291
Symbols, a<b      6 302
Symbols, d(T)      236
Symbols, d=(a,b)      34
Symbols, E(p,n)      79
Symbols, f(x,y)      30 239
Symbols, f=[a,b,c]      241
Symbols, G(m)      252
Symbols, I      224 235
Symbols, J      265
Symbols, J(m)      267
Symbols, M(R)      267
Symbols, PR(x)      315
Symbols, r!      13
Symbols, R(x)      311
Symbols, Ra      295
Symbols, Re      335
Symbols, S(k,n)      13
Symbols, [a,b]      50
Symbols, [Ra]      295
Symbols, [x]      75

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