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eBook [PDF] Mathematics: A Discrete Introduction, 3rd Edition By Edward R. Scheinerman

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eBook for Mathematics: A Discrete Introduction, 3rd Edition By Edward R. Scheinerman Get all 10 Chapters eBook PDF. Table of Contents Acknowledgments Ch 1: Fundamentals 1 Joy 2 Speaking... (and Writing) of Mathematics 3 Definition 4 Theorem 5 Proof 6 Counterexample 7 Boolean Algebra Chapter 1 Self Test Ch 2: Collections 8 Lists 9 Factorial 10 Sets I: Introduction, Subsets 11 Quantifiers 12 Sets II: Operations 13 Combinatorial Proof: Two Examples Chapter 2 Self Test Ch 3: Counting and Relations 14 Relations 15 Equivalence Relations 16 Partitions 17 Binomial Coefficients 18 Counting Multisets 19 Inclusion-Exclusion Chapter 3 Self Test Ch 4: More Proof 20 Contradiction 21 Smallest Counterexample 22 Induction 23 Recurrence Relations Chapter 4 Self Test Ch 5: Functions 24 Functions 25 The Pigeonhole Principle 26 Composition 27 Permutations 28 Symmetry 29 Assorted Notation Chapter 5 Self Test Ch 6: Probability 30 Sample Space 31 Events 32 Conditional Probability and Independence 33 Random Variables 34 Expectation Chapter 6 Self Test Ch 7: Number Theory 35 Dividing 36 Greatest Common Divisor 37 Modular Arithmetic 38 The Chinese Remainder Theorem 39 Factoring Chapter 7 Self Test Ch 8: Algebra 40 Groups 41 Group Isomorphism 42 Subgroups 43 Fermat's Little Theorem 44 Public Key Cryptography I: Introduction 45 Public Key Cryptography II: Rabin's Method 46 Public Key Cryptography III: RSA Chapter 8 Self Test Ch 9: Graphs 47 Fundamentals of Graph Theory 48 Subgraphs 49 Connection 50 Trees 51 Eulerian Graphs 52 Coloring 53 Planar Graphs Chapter 9 Self Test Ch 10: Partially Ordered Sets 54 Fundamentals of Partially Ordered Sets 55 Max and Min 56 Linear Orders 57 Linear Extensions 58 Dimension 59 Lattices Chapter 10 Self Test Appendices Appendix A: Lots of Hints and Comments; Some Answers Appendix B: Solutions to Self Tests Appendix C: Glossary Appendix D: Fundamentals Index [Show More]

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