Discrete Mathematics with Applications

Portada
Elsevier, 19 de gen. 2004 - 1042 pàgines
This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation.

* Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals
* Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations
* Weaves numerous applications into the text
* Helps students learn by doing with a wealth of examples and exercises:
- 560 examples worked out in detail
- More than 3,700 exercises
- More than 150 computer assignments
- More than 600 writing projects
* Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises
* Features interesting anecdotes and biographies of 60 mathematicians and computer scientists
* Instructor's Manual available for adopters
* Student Solutions Manual available separately for purchase (ISBN: 0124211828)
 

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Continguts

Chapter 1 The Language of Logic
1
Chapter 2 The Language of Sets
67
Chapter 3 Functions and Matrices
117
Chapter 4 Induction and Algorithms
185
Chapter 5 Recursion
261
Chapter 6 Combinatorics and Discrete Probability
343
Chapter 7 Relations
437
Chapter 8 Graphs
515
Chapter 12 Boolean Algebra and Combinatorial Circuits
803
Appendix A
867
References
899
Solutions to OddNumbered Exercises
907
Credits
1029
Index
1031
List of Biographical Sketches
1042
Application Index
1043

Chapter 9 Trees
609
Chapter 10 Digraphs
691
Chapter 11 Formal Languages and FiniteState Machines
733
Alogrithms Index
1044
List of Symbols
1045
Copyright

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