Introduction to Proof Through Number Theory
eBook - PDF

Introduction to Proof Through Number Theory

  1. 465 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction to Proof Through Number Theory

About this book

Lighten up about mathematics! Have fun. If you read this book, you will have to endure bad math puns and jokes and out-of-date pop culture references. You'll learn some really cool mathematics to boot. In the process, you will immerse yourself in living, thinking, and breathing logical reasoning. We like to call this proofs, which to some is a bogey word, but to us it is a boogie word. You will learn how to solve problems, real and imagined. After all, math is a game where, although the rules are pretty much set, we are left to our imaginations to create. Think of this book as blueprints, but you are the architect of what structures you want to build. Make sure you lay a good foundation, for otherwise your buildings might fall down. To help you through this, we guide you to think and plan carefully. Our playground consists of basic math, with a loving emphasis on number theory. We will encounter the known and the unknown. Ancient and modern inquirers left us with elementary-sounding mathematical puzzles that are unsolved to this day. You will learn induction, logic, set theory, arithmetic, and algebra, and you may one day solve one of these puzzles.

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Information

Year
2023
Print ISBN
9781470470272
eBook ISBN
9781470472580

Table of contents

  1. Cover
  2. Title page
  3. Contents
  4. Preface
  5. Notations and Symbols
  6. Chapter 1. Evens, Odds, and Primes: A Taste of Number Theory
  7. Chapter 2. Mathematical Induction
  8. Chapter 3. Logic: Implications, Contrapositives, Contradictions, and Quantifiers
  9. Chapter 4. The Euclidean Algorithm and Its Consequences
  10. Chapter 5. Sets and Functions
  11. Chapter 6. Modular Arithmetic
  12. Chapter 7. Counting Finite Sets
  13. Chapter 8. Congruence Class Arithmetic, Groups, and Fields
  14. Bibliography
  15. Index
  16. Back Cover

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Yes, you can access Introduction to Proof Through Number Theory by Bennett Chow in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over 1.5 million books available in our catalogue for you to explore.