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Seymour L. — Schaum's Outline of Theory and Problems of Discrete Math
Seymour L. — Schaum's Outline of Theory and Problems of Discrete Math

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Название: Schaum's Outline of Theory and Problems of Discrete Math

Автор: Seymour L.

Аннотация:

This Second Edition of Schaum`s Outline Series of Discrete Mathematics lets you focus on the problems that are at the heart of the subject. It cuts your study time by eliminating the extraneous material that clutters up so many textbooks. As you study at your own pace, this guide shows you step by step how to solve the kind of problems you`re going to find in your exams. It gives you hundreds of additional problems to let you test your skills, then check the answers yourself. And this new edition features all the latest applications of discrete mathematics to computer science! This guide can be used as a supplement, to reinforce and strengthen the work you do with your class text. (It works well with virtually any discrete mathematics textbook.) But it is so comprehensive that it can even be used alone as a text in discrete mathematics or as an independent study tool!


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd Edition

Год издания: 2004

Количество страниц: 538

Добавлена в каталог: 15.11.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$D_{m}$      478
$K_{n}$ (complete bipartite graph)      198
$K_{n}$, (complete graph)      197
$Z_{m}$ (integers modulo m)      327
Abelian group      371
Absolute value      54 316
Absorption law      451
Abstraction, Principle of      2
Accepting (yes) states      408
Ackermann function      61
Acyclic      250
Address      237
Adjacency, matrix      205 239
Adjacency, structure (AS)      206 245
Adjacent, fundamental products      492
Adjacent, regions      204
Adjacent, vertices      190 233
Aleph-naught, $\mathfrak{N}_{0}$      61
Algebra of matrices      109
Algebra of propositions      83
Algebra of sets      7 17
Algebra, boolean      477
Algebra, fundamental theorem of      382
Algebraic expression      277
Algorithms      62—66
Algorithms, complexity of      64
Algorithms, division      318
Algorithms, Euclidean      63 322 380
Alphabet      405
Ancestor      278
AND gate      487
AND — OR circuit      488
Antisymmetric relation      33
Apple — Haken Theorem      204
Arcs      233
Arguments      4 23 85
Array      102
Associates      379
Associative operations      365
atoms      454
Augmented matrix      108
AUT(-)(automorphisms)      372
Automaton      408
Automaton, linear bounded      415
Automaton, pushdown      415
Automorphism      372
Average case      64
Backus — Naur form      415
Base value      59
Basic rectangle      494 496
Basic rectangle, maximal      495
Bernoulli trials      158
BFS (breadth-first-search)      209 247
Biconditional statement      84
Big O notation      65
Bijective function      53
Binary search tree      284
Binary search tree, complexity of algorithms      286
Binary tree      276
Binary tree, complete      277
Binary tree, extended      279
Binary tree, similar      277
Binary, addition      417
Binary, digit      117 477
Binary, operation      364
Binary, relation      28
Binary, search      66
Binomial, coefficients      134
Binomial, distribution      159
Bipartite graphs      198
bits      477
Boolean, algebra      477—486
Boolean, expression      481
Boolean, function      491
Boolean, matrix      117 239
Boolean, minimal      483
Boolean, ring      401
Boolean, subalgebra      478
Bounded, lattices      453
Bounded, sets      447
BREADTH-FIRST-SEARCH      209 247
Bridge (in a graph)      194
Bubble sort      66
C(n,r) (combinations)      138
C, complex numbers      2
Cancelation law      367
Cancelation law for congruences      327
Cantor      61
Cantor, theorem      62 74
Cardinal numbers      61—62 70
Cardinal numbers, inequalities      62
Carroll, Lewis      4
Cartesian product      27
Ceiling function      54
Chain      443
Children      278 294
Chinese remainder theorem      332 357
Choice, axiom of      451
Chromatic number      203
Circuit      193 235
Classes of sets      10 18
Classes of sets, residue      326
Closed path      193 235
Closure of relations      34 42
Closure of relations, transitive      242
Closure, Kleene      444
Code      293
Codomain      50
Colored, graphs      203
Colored, maps      223
column      104
Combinations      137 145
Commutative operation      365
Commutative operation, group      371
Comparable elements      443
Complement in a Boolean algebra      477
Complement in a lattice      454
Complement of a set      6
Complemented lattice      454
Complete, binary tree      278
Complete, graph      197
Complete, sum-of-products form      483
Complex numbers C      2
Complexity of algorithms      64
Complexity of algorithms in a binary search tree      286
Complexity of algorithms in a heap      286
Composition of functions      52
Composition of relations      32
compound statement      78
Computable function      422—424 433
Computer representation of binary trees      280
Computer representation of directed graphs      239
Computer representation of graphs      205
Concatenation      405
Conclusion      85
Conditional probability      155 168
Conditional statement      84
Congruence relation      325 345
Congruence relation, arithmetic      326
Congruence relation, equations      329
Conjunction      79
Connected graph      193
Connected graph, components      193
Connected graph, map      201
Connected graph, strongly      235
Connected graph, unilaterally      235
Connected graph, weakly      235
Consensus      484
Consensus, method      485
Consistent enumeration      446 459
Context-free grammar      414
Context-sensitive grammar      413
Contradiction      82
Contrapositive statement      95
Converse statement      95
Coprime      323
Coset      372
Countable set      62
Counterexample      91
Counting principle      9 133
Cover, minimal      495
Cross partition      23
Cutpoint      194
CYCLE      193 235
Cycle, Hamiltonian      195
Cycle-free      199
Cyclic group      374
d(u,v) (distance)      194
DAG (directed acyclic graph)      250
Degree of a polynomial      378
Degree of a region      201
Degree of a vertex      191 234
DeMorgan’s Law      8 11 90 479
Dense graph      205
Denumerable set      62
Depth of a binary tree      278
Depth of recursion      60
Depth-first-search      209 247
Derivation tree      414
Descendant      278
Detachment, law of      85
Determinants      110—112
Diagonal of a matrix      108
Diagram, Hasse      444
Diagram, state      409 416
Diagram, Venn      3 14
Diameter of a graph      194
dictionary order      444
Digraph (directed graph)      233—235
Digraph (directed graph) matrix of      239
Dihedral group      400
Direct product of groups      401
Directed graph      233—235
Directed graph of a relation      30
Disjoint sets      5
Disjunction (or)      79
Disjunctive normal form      483
Distance between vertices      194
distribution      159
Distribution, binomial      162
Distributive lattice      454
Divisibility      378
Divisibility of integers      319 341
Divisibility of polynomials      379
Division algorithm      318 338
Domain (integral)      376
Domain of a function      50
Domain of a relation      28
Dot product      103
Dual, map      204
Dual, order      442
Duality in a Boolean algebra      478
Duality in a lattice      451
E(G) (edges in a graph)      190
Echelon matrix      113 125
EDGE      190 233
Edge, file      206 246
Edge, parallel      234
Element of a set      1
Elimination, Gaussian      112 125
Empty, relation      29
Empty, set      0 2
Empty, word      405
Endpoints      190
Equality of functions      50
Equality of matrices      104
Equality of sets      1
Equality relation      29
Equipotent      61
Equiprobable space      154 164
Equivalence, class      36
Equivalence, logical      83
Equivalence, relation      35 44 47
Euclidean algorithm      63 322 380
Euler, formula      201 322
Euler, phi function      328 347
Eulerian graph      195
Eulerian graph, trail      195
Event (probability)      152
Event (probability), elementary      152
Event (probability), independent      156 170
Existential quantifier      88
Expectation      64 160 174
Exponential function      55
Expression      419
Expression, algebraic      277
Expression, regular      407
Extended binary tree      279
Extension, Principle of      1
External node      279 290
Factor Theorem      380
Factorial      59 134
Fibonacci sequence      60
Field      376 393
FILE      246
File, edge      206
File, vertex      206
Finite, graph      191
Finite, probability space      153
Finite, set      9 16
Finite, state automaton (FSA)      408 427
Finite, state machine      416
first element      446
Floor function      54
Forest      198 295
Four color theorem      204
Free semigroup      367 406
Free semigroup, order      444
Function      60—71
Function, computable      422—424 433
Function, next-state      408
Function, polynomial      52
Function, rate of growth      65
Function, recursively defined      59
Fundamental product      7 481
Fundamental product, adjacent      492
Gates, logic      486
Gaussian elimination      112
gcd(a,b) (greatest common divisor)      321
General tree      294—295
Generators of a group      374
Godel number      418
Grammar      411 429
Grammar, types of      413
Graph      188
Graph of a function      51
Graph of a relation      29
Graph, adjacency structure (AS)      206 245
Graph, bipartite      198
Graph, complete      197
Graph, connected      193
Graph, directed      233—235
Graph, labeled      196 233
Graph, matrix of      205
Graph, planar      200—203
Graph, regular      197
Graph, weighted      196
Greatest common divisor      63 321
Group      371 386
Group, cyclic      374
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