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[DJVU] [2006] Discrete Mathematics and Its Applications, 6th edi

Infohash:

3F5DD7FE8D194CA991E9103663BF683883684E0F

Type:

Books

Title:

[DJVU] [2006] Discrete Mathematics and Its Applications, 6th edi

Category:

Other/E-books

Uploaded:

2011-06-07 (by lyndavilla )

Description:

DOWNLOAD MORE EBOOKS, MAGAZINES, & PDFS: http://buyabook.ws/download-ebooks-magazines-pdfs-more/ BOOK INFO: "Discrete Mathematics and its Applications, Sixth Edition", is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned best-selling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a discrete mathematics course and demonstrates the relevance and practicality of discrete mathematics to a wide variety of real-world applications...from computer science to data networking, to psychology, to chemistry, to engineering, to linguistics, to biology, to business, and to many other important fields. Contents 1 The Foundations: Logic and Proofs 1 1.1 Propositional Logic 1 1.2 Propositional Equivalences 21 1.3 Predicates and Quantifiers 30 1.4 Nested Quantifiers 50 1.5 Rules of Inference 63 1.6 Introduction to Proofs 75 1.7 Proof Methods and Strategy 86 End-of-Chapter Material 104 2 Basic Structures: Sets, Functions, Sequences, and Sums 111 2.1 Sets 111 2.2 Set Operations 121 2.3 Functions 133 2.4 Sequences and Summations 149 End-of-Chapter Material 163 3 The Fundamentals: Algorithms, the Integers, and Matrices 167 3.1 Algorithms 167 3.2 The Growth of Functions 180 3.3 Complexity of Algorithms 193 3.4 The Integers and Division 200 3.5 Primes and Greatest Common Divisors 210 3.6 Integers and Algorithms 219 3.7 Applications of Number Theory 231 3.8 Matrices 246 End-of-Chapter Material 257 4 Induction and Recursion 263 4.1 Mathematical Induction 263 4.2 Strong Induction and Well-Ordering 283 4.3 Recursive Definitions and Structural Induction 294 4.4 Recursive Algorithms 311 4.5 Program Correctness 322 End-of-Chapter Material 328 5 Counting 335 5.1 The Basics of Counting 335 5.2 The Pigeonhole Principle 347 5.3 Permutations and Combinations 355 5.4 Binomial Coefficients 363 5.5 Generalized Permutations and Combinations 370 5.6 Generating Permutations and Combinations 382 End-of-Chapter Material 386 6 Discrete Probability 393 6.1 An Introduction to Discrete Probability 393 6.2 Probability Theory 400 6.3 Bayes' Theorem 417 6.4 Expected Value and Variance 426 End-of-Chapter Material 442 7 Advanced Counting Techniques 449 7.1 Recurrence Relations 449 7.2 Solving Linear Recurrence Relations 460 7.3 Divide-and-Conquer Algorithms and Recurrence Relations 474 7.4 Generating Functions 484 7.5 Inclusion-Exclusion 499 7.6 Applications of Inclusion-Exclusion 505 End-of-Chapter Material 513 8 Relations 519 8.1 Relations and Their Properties 519 8.2 n-ary Relations and Their Applications 530 8.3 Representing Relations 537 8.4 Closures of Relations 544 8.5 Equivalence Relations 555 8.6 Partial Orderings 566 End-of-Chapter Material 581 9 Graphs 589 9.1 Graphs and Graph Models 589 9.2 Graph Terminology and Special Types of Graphs 597 9.3 Representing Graphs and Graph Isomorphism 611 9.4 Connectivity 621 9.5 Euler and Hamilton Paths 633 9.6 Shortest-Path Problems 647 9.7 Planar Graphs 657 9.8 Graph Coloring 666 End-of-Chapter Material 675 10. Trees 683 10.1 Introduction to Trees 683 10.2 Applications of Trees 695 10.3 Tree Traversal 710 10.4 Spanning Trees 724 10.5 Minimum Spanning Trees 737 End-of-Chapter Material 743 11 Boolean Algebras 749 11.1 Boolean Functions 749 11.2 Representing Boolean Functions 757 11.3 Logic Gates 760 11.4 Minimization of Circuits 766 End-of-Chapter Material 781 12 Modeling Computation 785 12.1 Languages and Grammars 785 12.2 Finite-State Machines with Output 796 12.3 Finite-State Machines with No Output 804 12.4 Language Recognition 817 12.5 Turing Machines 827 End-of-Chapter Material 838 Appendixes A-1 Axioms for the Real Numbers and the Positive Integers A-1 @ A-2 Exponential and Logarithmic Functions A-7 @ A-3 Pseudocode A-10 @ Suggested Readings B-1 @ Answers to Odd-Numbered Exercises S-1 @ Photo Credits C-l @ Index of Biographies I-1 @ Index I-2 @

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Comments:

indyburn (2012-01-13)

any possible way you could get the 7th edi? or direct me to a way to get it? please and thanks.