{"product_id":"discrete-mathematics-9780471476023","title":"Discrete Mathematics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThese active and well-known authors have come together to create a fresh, innovative, and timely approach to Discrete Math. One innovation uses several major threads to help weave core topics into a cohesive whole. Throughout the book the application of mathematical reasoning is emphasized to solve problems while the authors guide the student in thinking about, reading, and writing proofs in a wide variety of contexts. Another important content thread, as the sub-title implies, is the focus on mathematical puzzles, games and magic tricks to engage students.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003e1 Puzzles, Patterns, and Mathematical Language 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 First Examples 1\u003c\/p\u003e \u003cp\u003e1.2 Number Puzzles and Sequences 9\u003c\/p\u003e \u003cp\u003e1.3 Truth-tellers, Liars, and Propositional Logic 24\u003c\/p\u003e \u003cp\u003e1.4 Predicates 40\u003c\/p\u003e \u003cp\u003e1.5 Implications 53\u003c\/p\u003e \u003cp\u003e1.6 Excursion Validity of Arguments 68\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 A Primer of Mathematical Writing 81\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Mathematical Writing 82\u003c\/p\u003e \u003cp\u003e2.2 Proofs about Numbers 98\u003c\/p\u003e \u003cp\u003e2.3 Mathematical Induction 110\u003c\/p\u003e \u003cp\u003e2.4 More about Induction 122\u003c\/p\u003e \u003cp\u003e2.5 Contradiction and the Pigeonhole Principle 132\u003c\/p\u003e \u003cp\u003e2.6 Excursion Representations of Numbers 150\u003c\/p\u003e \u003cp\u003e2.7 Excursion Modular Arithmetic and Cryptography 166\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Sets and Boolean Algebra 181\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Set Definitions and Operations 181\u003c\/p\u003e \u003cp\u003e3.2 More Operations on Sets 198\u003c\/p\u003e \u003cp\u003e3.3 Proving Set Properties 210\u003c\/p\u003e \u003cp\u003e3.4 Boolean Algebra 221\u003c\/p\u003e \u003cp\u003e3.5 Excursion Logic Circuits 229\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Functions and Relations 248\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Definitions, Diagrams, and Inverses 249\u003c\/p\u003e \u003cp\u003e4.2 The Composition Operation 268\u003c\/p\u003e \u003cp\u003e4.3 Properties of Functions and Set Cardinality 283\u003c\/p\u003e \u003cp\u003e4.4 Properties of Relations 301\u003c\/p\u003e \u003cp\u003e4.5 Equivalence Relations 313\u003c\/p\u003e \u003cp\u003e4.6 Numerical Functions in Discrete Math 324\u003c\/p\u003e \u003cp\u003e4.7 Excursion Iterated Functions and Chaos 334\u003c\/p\u003e \u003cp\u003e4.8 Excursion Growth of Functions 345\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Combinatorics 368\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 369\u003c\/p\u003e \u003cp\u003e5.2 Basic Rules for Counting 386\u003c\/p\u003e \u003cp\u003e5.3 Combinations and the Binomial Theorem 398\u003c\/p\u003e \u003cp\u003e5.4 Binary Sequences 408\u003c\/p\u003e \u003cp\u003e5.5 Recursive Counting 418\u003c\/p\u003e \u003cp\u003e5.6 Excursion Solving Recurrence Relations 423\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Probability 440\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 440\u003c\/p\u003e \u003cp\u003e6.2 Sum and Product Rules for Probability 448\u003c\/p\u003e \u003cp\u003e6.3 Probability in Games of Chance 460\u003c\/p\u003e \u003cp\u003e6.4 Expected Value in Games of Chance 466\u003c\/p\u003e \u003cp\u003e6.5 Excursion Recursion Revisited 475\u003c\/p\u003e \u003cp\u003e6.6 Excursion Matrices and Markov Chains 482\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Graphs and Trees 505\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Graph Theory 506\u003c\/p\u003e \u003cp\u003e7.2 Proofs about Graphs and Trees 519\u003c\/p\u003e \u003cp\u003e7.3 Isomorphism and Planarity 533\u003c\/p\u003e \u003cp\u003e7.4 Connections to Matrices and Relations 546\u003c\/p\u003e \u003cp\u003e7.5 Graphs in Puzzles and Games 567\u003c\/p\u003e \u003cp\u003e7.6 Excursion Binary Trees 581\u003c\/p\u003e \u003cp\u003e7.7 Excursion Hamiltonian Cycles and the TSP 596\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA Rules of the Game 613\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eCards 613\u003c\/p\u003e \u003cp\u003eSports 614\u003c\/p\u003e \u003cp\u003eMiscellaneous Games 615\u003c\/p\u003e \u003cp\u003e\u003cb\u003eB Matrices and Their Operations 618\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eMatrix Operations 618\u003c\/p\u003e \u003cp\u003eMatrix Arithmetic with Technology 620\u003c\/p\u003e \u003cp\u003eSelected Answers and Hints 625\u003c\/p\u003e \u003cp\u003eReferences and Further Reading 682\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49525404533079,"sku":"9780471476023","price":202.35,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471476023.jpg?v=1731860387","url":"https:\/\/bookcurl.com\/products\/discrete-mathematics-9780471476023","provider":"Book Curl","version":"1.0","type":"link"}