Search Results - "number theory"

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    Spiral Workbook for Discrete Mathematics by Kwong, Harris

    Published 2015
    Table of Contents: “…1 An Introduction -- 2 Logic -- 3 Proof Techniques -- 4 Sets -- 5 Basic Number Theory -- 6 Functions -- 7 Relations -- 8 Combinatorics…”
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    Mathematical Reasoning Writing and Proof, Version 2.1 by Sundstrom, Ted

    Published 2014
    Table of Contents: “…1 Introduction to Writing Proofs in Mathematics -- 2 Logical Reasoning -- 3 Constructing and Writing Proofs in Mathematics -- 4 Mathematical Induction -- 5 Set Theory -- 6 Functions -- 7 Equivalence Relations -- 8 Topics in Number Theory -- 9 Finite and Infinite Sets -- A Guidelines for Writing Mathematical Proofs -- B Answers for the Progress Checks -- C Answers and Hints for Selected Exercises -- D List of Symbols -- Index…”
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    Contemporary Mathematics by Kirk, Donna

    Published 2023
    Table of Contents: “…Real Number Systems and Number Theory -- Chapter 4. Number Representation and Calculation -- Chapter 5. …”
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    Discrete Mathematics An Open Introduction by Levin, Oscar

    Published 2016
    Table of Contents: “…-- 0.2 Mathematical Statements -- 0.3 Sets -- 1 Counting -- 1.1 Additive and Multiplicative Principles -- 1.2 Binomial Coefficients -- 1.3 Combinations and Permutations -- 1.4 Combinatorial Proofs -- 1.5 Stars and Bars -- 1.6 Advanced Counting Using PIE -- 1.7 Chapter Summary -- 2 Sequences -- 2.1 Definitions -- 2.2 Arithmetic and Geometric Sequences -- 2.3 Polynomial Fitting -- 2.4 Solving Recurrence Relations -- 2.5 Induction -- 2.6 Chapter Summary -- 3 Symbolic Logic and Proofs -- 3.1 Propositional Logic -- 3.2 Proofs -- 3.3 Chapter Summary -- 4 Graph Theory -- 4.1 Definitions -- 4.2 Trees -- 4.3 Planar Graphs -- 4.4 Coloring -- 4.5 Euler Paths and Circuits -- 4.6 Matching in Bipartite Graphs -- 4.7 Chapter Summary -- 5 Additional Topics -- 5.1 Generating Functions -- 5.2 Introduction to Number Theory…”
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