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Gossett E. — Discrete Math with Proof
Gossett E. — Discrete Math with Proof



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Название: Discrete Math with Proof

Автор: Gossett E.

Аннотация:

For one-semester undergraduate Discrete Mathematics courses for math and computer science majors. This exceedingly well-written text equips students to apply discrete mathematics and provides opportunities for practice of the concepts presented. A semester of Calculus is useful for reasons of sophistication.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 922

Добавлена в каталог: 15.07.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Integers      95 see
Interior node      670
Interpolation search      180
Intersection      15 19 269 see intersection"
Intuitionism      107
Invalid      70 see invalid"
Inverse      42 43 83 A3 see
Inverse matrix      A25
Inverse, function      731
Inverse, relation      733
Inverter      785
Invited inference      30 see informal invited
Irrational number      96
Irrational numbers      A4
Island of knights and knaves      A12 A13 A16 A18
Isomorphic      619
Isomorphism invariant      620
Iteration      158 see
Jacopini      154
Join      749
Jordan curve theorem      637
Josephus      384
Josephus problem      383
Kaliningrad      590 see
Karnaugh map      781
Kempe, Alfred      632
Key      747
Key, alternate      747
Key, foreign      759
Key, primary      747
Kirchoff      709
Kirkman’s schoolgirls      9
Kleene closure      544 551 584
Kleene, Stephen Cole      544
Kleene’s Theorem      562
KMP      188 see
Knapsack problem      457
Knapsack problem, 0-1      457
Knapsack problem, bounded      457
Knapsack problem, unbounded      457
Knave      A12 see
Knight      A12 see
Knuth — Morris — Pratt      188 see
Koenigsberg      8 590
Kuratowski, Kazimierz      627
Kuratowski’s Theorem      627
Lagrange interpolation      327
Lake, Baikal      30
Lake, Caspian Sea      30
Lake, Superior      30
Lambert, Johann Heinrich      A4
Language generated by a grammar      543
Language over $\Sigma$      541
Language over $\Sigma$, complement      570
Language over $\Sigma$, regular      543
Latin square      421
Latin square and finite projective planes      433
Latin square, mutually orthogonal      424
Latin square, orthogonal      424
Latin square, self-orthogonal      443
Latin square, standardized      421
Law of hypothetical syllogism      48 86
LCM      97
Leaf      670
leaf node      670
Least common multiple      97
Left child      671
Lemma      93
Level of a node      669
level-order traversal      686
Lexicographical      679
Limit of a sequence      173
Limit point      A4
Line      428 591 592
Line graph      595
Linear      338
Linear code      474
linear combination      415
Linear homogeneous recurrence relation with constant coefficients of degree k      339 397
Linear homogeneous recurrence relations with constant coefficients      338
Linear search      179 see
Lobachevsky      91
Logarithmic functions      171
Logic      13
Logic circuits      788
Logic gate      784
Logic operator      33 see operators"
Logic puzzles      A12
Logic, analyzing claims      29
Logic, argument form      70 see
Logic, conditional statement      41
Logic, contingency      41
Logic, contradiction      41
Logic, derived implications      41—43
Logic, formal      14
Logic, formal fallacies, affirming the consequent      70
Logic, formal fallacies, denying the antecedent      70
Logic, informal      14
Logic, informal fallacies      30—32
Logic, informal fallacies, appeal to authority      30
Logic, informal fallacies, circular reasoning      31
Logic, informal fallacies, confusing the whole and the parts      31
Logic, informal fallacies, equivocation      31
Logic, informal fallacies, inappropriate generalization      31
Logic, informal fallacies, incorrectly using averages      31
Logic, informal fallacies, invited inference      30
Logic, informal fallacies, no one knows, so I must be right      31
Logic, informal fallacies, nonsequitur      31
Logic, informal fallacies, shifting the focus      30
Logic, informal fallacies, Using rules in an inappropriate context      30
Logic, operators      33 39 269
Logic, operators, AND      34—35
Logic, operators, biconditional      39—40
Logic, operators, conjunction      34
Logic, operators, disjunction      34
Logic, operators, equivalence      41
Logic, operators, exclusive OR      34
Logic, operators, functionally complete      789
Logic, operators, implication      38—39 42 43 83
Logic, operators, inclusive OR      34
Logic, operators, logical equivalence      41
Logic, operators, NAND      37
Logic, operators, NOR      37
Logic, operators, NOT      34—35
Logic, operators, OR      34—35
Logic, operators, precedence      40
Logic, operators, XOR      34
Logic, predicate      33
Logic, propositional      33
Logic, puzzles      A12
Logic, syllogistic      14 69
Logic, symbolic      14
Logic, tautology      41
Logical fallacies      30 see formal "Logic informal
Logical inconsistencies      30
Logically equivalent      41
Logicism      103
Longfellow, Henry Wadsworth      530
Loop      592
lossless decomposition      752
Lotteries      288 see sweepstakes
Madeline      9
Magic square      403
Main diagonal      A22
Mantoux skin test      294 see
Marriage problem      484 see
Marriage theorem      486
Material implication      39
Mathematical induction      117 131
Mathematical induction, complete induction      124 131
Mathematical induction, finite      118
Mathematical induction, strong      125
Mathematical induction, weak      118
Mathematical models, probability      258 263
Matrix      A22
Matrix, addition      A24
Matrix, coefficient      A23
Matrix, identity      A23
Matrix, inverse      A25
Matrix, main diagonal      A22
Matrix, multiplication      A24
Matrix, power      A25
Matrix, square      A22
Matrix, transpose      A22
Matrix, zero      A23
MAX      116
Maximal      613
Maximal complete tree      670
Maximal spanning tree      716 724
Maxterm      779
McCulloch      576
McKay, Brendan      497
Meaning      522
Member      15 see member"
Merchant of Venice      A15
Merge sort      360
Message      471 522
Metacharacter      548 549
MIN      116
Minimal spanning tree      711
Minimum distance of a code      474
Minterm      769
Miss Clavel      9
Miyazaki, Hayao      732
MOD      100
modus ponens      47
Monopoly      540
Monotone      239
Montague, Romeo      530
Monty Hall      296 see Bayes’s
Multigraph      593
multinomial      230 231 237
Multinomial theorem      237
Mutually exclusive events      259 see definitions mutually
Mutually exclusive tasks or choices      213 see formulas"
Mutually orthogonal Latin squares      424
NAND gate      789
Nanosecond      172
Natural join      749
Natural numbers      95 A1 see "Number natural
Necessary and sufficient      40
Necessary and sufficient condition      110
Negation      35 70
Nesting      159 see
Neural net      576
neuron      576
Newton, Isaac      410
Noam Chomsky      571
Node      668
Noise      523
Non-Euclidean geometry      92
Nondecreasing function      363
Nondeterministic finite automaton      557
Nonkey attribute      747
Nonnegative integers      A2 see natural
Nonsequitur      31 see informal nonsequitur"
Nonterminal symbol      542
NOR gate      789
Normal forms, first      754
Normal forms, second      754
Normal forms, third      754
NOT      34 see operators NOT"
NOT gate      785
null character      541
Null string      541
number systems      A1—A9
Number systems, complex numbers      A4—A6
Number systems, integers      95 A2
Number systems, integers mod p      A6
Number systems, natural numbers      95 A1—A2
Number systems, rational numbers      96 A2—A4
Number systems, rational numbers, derivation      741 742
Number systems, real numbers      A4
Number theory      243
Numbers, representation      A7—A9
Numbers, representation, base      A7
Numbers, representation, binary      A7—A9
Numbers, representation, hexadecimal      A7—A9
Numbers, representation, octal      A7—A9
Numbers, representation, place value      A7
Objects      409
Obvious algorithm      187 see
Occupancy problems      409
Octal      A7 see representation octal"
Odd      96
Odds      288 see definitions odds"
One-to-one      729 732
One-to-one function      592
Onto      729 732
Opening tag      694
Operations research      459
Optimal      129
Optimization      404 458
OR      34 see operators OR"
OR gate      785
Order      213
Order, axioms      A4
Ordered tree      671
Orthogonal Latin squares      424
Outcome      257 see definitions outcome"
Outdegree      642
Outdegree sequence      653
Output function      535
Package      598
Paper, scissors, rock      258 786
Paradox      206
Paradox, barber      199
parallel      784
Parent      669
Parse tree      687
Parser      701
Parsing      573
Partial ordering      737
Partially ordered set      737
Partition      19 739
Partition of an integer      405
Pascal’s theorem      234
Pascal’s triangle      310
Path      600
Pattern matching      186
Pattern matching, BM (Boyer — Moore)      191
Pattern matching, KMP (Knuth — Morris — Pratt)      188
Pattern matching, obvious algorithm      187
Patterns      256
Peano      323
Perfect code      479
Perl      553
Permutation      213
Permutation of a set      421
permutations      216 see permutations"
Permutations with repetition      217 see permutations
Persian rugs      320 362
Petersen graph      626
Phrase-structured grammar      571
Pigeon-hole principle      238 239
Pipe symbol      545
Pitts      576
Planar graph      624
Platonic solids      630
Playfair’s postulate      91
1 2 3 4 5
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