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Hein J.L. — Discrete Mathematics
Hein J.L. — Discrete Mathematics



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Название: Discrete Mathematics

Автор: Hein J.L.

Аннотация:

Discrete Mathematics, is designed for an introductory course in discrete mathematics for the prospective computer scientist, applied mathematician, or engineer who wants to learn how the ideas apply to computer sciences. The choice of topics-and the breadth of coverage-reflects the desire to provide students with the foundations needed to successfully complete courses at the upper division level in undergraduate computer science courses.

This book differs in several ways from current books about discrete mathematics. It presents an elementary and unified introduction to a collection of topics that has not been available in a single source. A major feature of the book is the unification of the material so that it does not fragment into a collection of seemingly unrelated ideas.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 656

Добавлена в каталог: 19.03.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Infinite list      37
Infinite polynomial      286
Infinite sequence      37
Infinite set      12 100—107
Infinite set, continuum hypothesis      107
Infinite set, countable      101
Infinite set, diagonalization      106
Infinite set, uncountable      101
Infix expression      42 63
Informal proof      2 312
Inherit      569
Injection      92
Injective function      92
InOrder      166 548
Insert for binary functions      89 174 557
Insert into binary search tree      164 245 250
Insert into priority queue      548
Insert into sorted list      160 249
Instance of a set      463
Instance of a wff      372
Instance of an expression      462
Integers      5 12
Interpretation      362
Intersection bags      26
Intersection collection of sets      19
Intersection properties      19
Intersection sets      18
Invalid      366
Inverse element      512
Inverse function      94
Inverse image      64
Invertible function      94
Involution law      527
IP      See Indirect proof rule
Irreflexive partial order      216
Isomorphic      573
Isomorphism      573
Iverson's convention      308
Jefferson, Thomas      355
Join operation      553
Kernel factorization      209
Kernel partition      207
Kernel relation      207
Key      96
Knuth, D.E.      308 640
Konigsberg bridges      47
Kruskal's algorithm      211
Kruskal, J.В., Jr.      211 640
l'Hopital's rule      304
Language      129—148
Language closure      133
Language morphism      576 578
Language of a grammar      139
Language parse      134
Language product      131
Language properties of product      132
Language, positive closure      133
Language, well-formed formula      130
Lattice      220 233 536
Law of identity      413
Laws of exponents      155
Lazy evaluation      170
LCM      See Least common multiple
Leaf      50
Least common multiple      26
Least element      219
Least upper bound      219
Lee, R.C      474 639
Lees relation      540
Left subtree      52
Leftmost derivation      139
Leibniz, Gottfried Wilhelm von      61
Length list      35 156 542
Length path, walk, trail      47
Length string      37
Length tuple      32
Lexicographic order      226
LIFO property      543
Linear order      216
Linear probing      97
Linearly ordered set      216
LIST      35—37 116—120 155—161 541—542
List, cone      116
List, empty      35
List, generalized      36 119
List, head      35 116
List, infinite      37
List, length      35 156
List, stream      37 169—173
List, tail      35 116
Literal      323 380 454
Little oh      303
Liu, С.L.      640
LOG function      74
Logarithm      See Log function
Logic circuit      See Digital circuit
Logic gate      528
Logic program      484
Logic programming      502
Logic programming, atom      479
Logic programming, backtracking      493
Logic programming, breadth-first search strategy      497
Logic programming, clause      483
Logic programming, computation tree      492
Logic programming, depth-first search strategy      493
Logic programming, functions      499
Logic programming, goal      480 484
Logic programming, program      484
Logic programming, relations      498
Logic programming, SLD-resolution      488
Logic programming, techniques      498—502
Logic, Absorption laws      318
Logic, DeMorgan's laws      318
Logic, first-order      444
Logic, first-order predicate calculus      359
Logic, fuzzy      353
Logic, higher-order      442—450
Logic, modal      353
Logic, monadic      476
Logic, n-valued      353
Logic, nth-order      446
Logic, partial order theory      417
Logic, program      484
Logic, program clause      483
Logic, three-valued      353
Logic, two-valued      353
Logic, zero-order      444
Loop invariant      428
Lower bound      219
Lub      See Least upper bound
Lucas numbers      248 252
Lucas, Edouard      248 297
Lukasiewicz, J.      352 640
Lusk, E.      476 641
Mallows, С L.      173 641
map function      86 161
Mapping      See Function
Mathematical induction      236 242
Matrix      35
Matrix algebra      520
Matrix multiplication      255
max function      85
Maximal element      219
McAllister, D.F.      641
Meaning of a wff      364
Member      10 31 542
Mendelson, E.      641
Mgu      See Most general unifier
Minimal CNF      533
Minimal DNF      532
Minimal element      219
Minimal spanning tree      53
Minimum condition      226
MOD function      71
Modal logic      353
Model      366
modus ponens      310 333
Modus Tollens      310 333
Monadic logic      476
Monoid      517
Monomorphism      573
Monotonic      234
Monus operation      549
Morphism      570 573—576
Morphism, epimorphism      573
Morphism, homomorphism      573
Morphism, isomorphism      573
Morphism, language      576 578
Morphism, monomorphism      573
Most general unifier      465
MP      See Modus ponens
MT      See Modus tollens
Mult operation      538
Multigraph      44
Multiset      25
n-ary relation      42
n-colorable graph      44
n-ovals problem      279
n-tuple      32
n-valued logic      353
Nagel, E.      448 641
Natural deduction      369
Natural numbers      12 113—116 117 152—155 359 537—540
Necessary condition      3
Negation      2 313 523 534
Negative literal      454
Newman, J.R.      448 641
Newton — Raphson method      175
Nil process      554
Node      43 50
Noether, Emmy      226
Non sequitur      311
Nonterminals      137
Normal form      378—381
Normal form, conjunctive      325
Normal form, disjunctive      323
Normal form, full conjunctive      325
Normal form, full disjunctive      324
Normal form, fundamental conjunction      323
Normal form, fundamental disjunction      325
Normal form, prenex      378
Normal form, prenex conjunctive      380
Normal form, prenex disjunctive      380
NOT      See Negation
NOT gate      528
nth-order logic      446
Null set      11
Numeral      39
Numeral, binary      39 128 149
Numeral, decimal      39 115 128 129 130 131 132 144 149
Numeral, even decimal      144
Numeral, finite rational      145
Numeral, Roman      39
Object      10 31
One-to-one correspondence      94
One-to-one function      92
Onto function      93
Operation table      516
Operations on sets      16
Operator      See Function
Optimal algorithm, average case      275
Optimal algorithm, problem      254
Optimal algorithm, worst case      255
OR      See Disjunction
OR gate      528
Order of a predicate      444
Order of a quantifier      445
Order of a wff      445
Order, lower      303
Ordered pair      32
Ordered tree      50
Ordered triple      32
Ordinal numbers      231
Ordinal numbers, finite      231
Ordinal numbers, infinite      231
Ordinal numbers, limit      232
Outdegree      44
Overbeek, R.      476 641
P (premise)      336
P for IP      341
Pairs      See Pairs function
Pairs function      76 158
Palindrome      128 146
Pan, V.      256 641
Pancake recipe      214
Parallel computation      215
Paramodulation      476
Parent      50
parse      134
Parse tree      134
Partial correctness      435
Partial fraction      291
Partial function      76
Partial order      215—232
Partial order theory      417
Partial order, ascending chain      217
Partial order, chain      217
Partial order, descending chain      217
Partial order, greatest element      219
Partial order, greatest lower bound      219
Partial order, Hasse diagram      218
Partial order, immediate predecessor      217
Partial order, immediate successor      217
Partial order, irreflexive      216
Partial order, least element      219
Partial order, least upper bound      219
Partial order, lower bound      219
Partial order, maximal element      219
Partial order, minimal element      219
Partial order, minimum condition      226
Partial order, poset diagram      218
Partial order, predecessor      217
Partial order, reflexive      216
Partial order, set, poset      215
Partial order, sorting problem      221
Partial order, successor      217
Partial order, topological sorting problem      222
Partial order, topologically sorted      222
Partial order, upper bound      219
Partially decidable      369
Partially ordered set      215 535
Partially ordered structure      418
Partially solvable      369
Partition      198 199—204
Partition, coarser      203
Partition, equivalence class      199
Partition, finer      203
Partition, refinement      203
Pascal's triangle      267
Pascal, Blaise      xiii 267
Patashnik, O.      308 640
Paterson, M.S.      476 641
Path      46
Path cycle      46
Path problems      188—193
Pattern-matching definition      152
Paulson, L.C      641
Peano, Giuseppe      114 537
permutations      262—265
Permutations bag      263
1 2 3 4 5
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