|
|
Электронная библиотека Попечительского совета
механико-математического факультета
Московского государственного университета
|
|
|
|
|
|
| Niven I. - Mathematics of Choice: How to Count Without Counting |
|
|
|
| Предметный указатель |
Addition principle 16
Binomial expansion 34
Binomial theorem 34
Chromatic triangles 122
Circular permutations 23
Combinations 18
Combinations, property of 154
Combinations, with repetitions 59 76
Combinatorial probability 82
Complementary probability 86
configuration problems 120
Debrunner, H. 199
Derangements 78
digit 15
Distributions 109 110
Dollar bill, change for 106
Factorial zero 16
Factorials 10
Fibonacci numbers 50
Fibonacci numbers, formulas for 52 66
Fibonacci numbers, property of 154
Generating polynomials 100
Gleason, A. M. 124 157
Graphs of partitions 92
Greenwood, R. E. 124 157
Hadwiger, H. 199
Inclusion-Exclusion Principle 67 70 74
Incompatible permutations 81
Induction, principle of mathematical 130
INTEGER 4
Klee, V. 199
Linear equations with restricted solutions 60 75
Linear equations with unit coefficients 54
Mathematical induction 129
Multinomial expansion 38
Multiplication principle 8
| Non-associative product 140
Non-associative product, number of interpretations of 152
Notation see 'Symbols'
Notation for products 137
Notation for sums 134
Olds, C.D. 53
Partitions of a set 112
Partitions of an integer 91 102
Partitions of an integer, graphs of 92
Partitions of an integer, number of 96
Pascal's formula for C(n, r) 31
Pascal's triangle 41
Pascal's triangle, applications of 148
permutations 12
Permutations, in a circle 23
Permutations, incompatible 81
Permutations, of things not all alike 28
Pigeonhole Principle 120
Principle of Mathematical Induction 130
probability 82
Product, non-associative 140
Product, notation for 137
Proper subsets 43
Riordan, John 199
Ryser, H. J. 199
Separations of the plane 124
subsets 42
Subsets, proper 43
Sum,  notation for 134
Sum, telescoping 45 125
Summands 91
Sums of powers of natural numbers 44
symbols see list below
Telescoping sum 45 125
Tower of Hanoi puzzle 156
Whitworth, W. A. 199
Zero factorial 16
|
|
|
| Реклама |
|
|
|
|
|
|
|
|
О проекте