Mathematics > eBook-PDF > A Transition to Advanced Mathematics 8th Edition By Douglas Smith; Maurice Eggen; Richard St. Andre (All)
A Transition to Advanced Mathematics 8th Edition By Douglas Smith; Maurice Eggen; Richard St. Andre | eBook [PDF]
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eBook for A Transition to Advanced Mathematics 8th Edition By Douglas Smith; Maurice Eggen; Richard St. Andre Get all 7 Chapters eBook pdf. Table of Contents Contents Preface P... reface to the Student Ch 1: Logic and Proofs 1.1 Propositions and Connectives 1.2 Conditionals and Biconditionals 1.3 Quantified Statements 1.4 Basic Proof Methods I 1.5 Basic Proof Methods II 1.6 Proofs Involving Quantifiers 1.7 Strategies for Constructing Proofs 1.8 Proofs from Number Theory Ch 2: Sets and Induction 2.1 Basic Concepts of Set Theory 2.2 Set Operations 2.3 Indexed Families of Sets 2.4 Mathematical Induction 2.5 Equivalent Forms of Induction 2.6 Principles of Counting Ch 3: Relations and Partitions 3.1 Relations 3.2 Equivalence Relations 3.3 Partitions 3.4 Modular Arithmetic 3.5 Ordering Relations Ch 4: Functions 4.1 Functions as Relations 4.2 Constructions of Functions 4.3 Functions That are Onto; One-to-One Functions 4.4 Inverse Functions 4.5 Set Images 4.6 Sequences 4.7 Limits and Continuity of Real Functions Ch 5: Cardinality 5.1 Equivalent Sets; Finite Sets 5.2 Infinite Sets 5.3 Countable Sets 5.4 The Ordering of Cardinal Numbers 5.5 Comparability and the Axiom of Choice Ch 6: Concepts of Algebra 6.1 Algebraic Structures 6.2 Groups 6.3 Subgroups 6.4 Operation Preserving Maps 6.5 Rings and Fields Ch 7: Concepts of Analysis 7.1 The Completeness Property 7.2 The Heine-Borel Theorem 7.3 The Bolzano-Weierstrass Theorem 7.4 The Bounded Monotone Sequence Theorem 7.5 Equivalents of Completeness Appendix: Sets, Number Systems, and Functions Answers to Selected Exercises Index List of Symbols [Show More]
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