Search Results - "mathematical induction"
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Mathematical Reasoning Writing and Proof, Version 2.1
Published 2014Table 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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The Essence of Mathematics Through Elementary Problems
Published 2019Table of Contents: “…Infinity: recursions, induction, infinite descent -- 6.1 Proof by mathematical induction I -- 6.2 'Mathematical induction' and 'scientific induction' -- 6.3 Proof by mathematical induction II -- 6.4 Infinite geometric series -- 6.5 Some classical inequalities -- 6.6 The harmonic series -- 6.7 Induction in geometry, combinatorics and number theory -- 6.8 Two problems -- 6.9 Infinite descent -- 6.10 Chapter 6: Comments and solutions…”
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Linear Algebra with Applications
Published 2021Table of Contents: “…1 Systems of Linear Equations -- 2 Matrix Algebra -- 3 Determinants and Diagonalization -- 4 Vector Geometry -- 5 Vector Space R -- 6 Vector Spaces -- 7 Linear Transformations -- 8 Orthogonality -- 9 Change of Basis -- 10 Inner Product Spaces -- 11 Canonical Forms -- A Complex NumbersB ProofsC Mathematical InductionD PolynomialsSelected Exercise Answers…”
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Book of Proof
Published 2013Table of Contents: “…Disproof -- 10. Mathematical Induction -- IV Relations, Functions and Cardinality -- 11. …”
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