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CITATION

Gibilisco, Stan. Math Proofs Demystified. US: McGraw-Hill Professional, 2005.

Math Proofs Demystified

Authors: Stan Gibilisco

Published:  April 2005

eISBN: 9780071469920 0071469923 | ISBN: 9780071445764
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  • Contents
  • Foreword
  • Preface
  • Acknowledgments
  • Part One: The Rules of Reason
  • Chapter 1 The Basics of Propositional Logic
  • Operations and Symbols
  • Truth Tables
  • Some Basic Laws
  • Truth Table Proofs
  • Quiz
  • Chapter 2 How Sentences are Put Together
  • Sentence Structure
  • Quantifiers
  • Well-formed Formulas
  • Venn Diagrams
  • Quiz
  • Chapter 3 Formalities and Techniques
  • Seeds of a Theory
  • Theorems
  • A Theory Grows
  • Techniques for Proving Things
  • Quiz
  • Chapter 4 Vagaries of Logic
  • Cause, Effect, and Implication
  • The Probability Fallacy
  • Weak and Flawed Reasoning
  • Paradoxes and Brain Teasers
  • Quiz
  • Test: Part One
  • Part Two: Proofs in Action
  • Chapter 5 Some Theoretical Geometry
  • Some Definitions
  • Similar and Congruent Triangles
  • Some Axioms
  • Some Proofs at Last!
  • Quiz
  • Chapter 6 Sets and Numbers
  • Some Definitions
  • Axioms
  • Some Proofs at Last!
  • Quiz
  • Chapter 7 A Few Historic Tidbits
  • You “Build” It
  • The Theorem of Pythagoras
  • The Square Root of 2
  • The Greatest Common Divisor
  • Prime Numbers
  • Quiz
  • Test: Part Two
  • Final Exam
  • Answers to Quiz, Test, and Exam Questions
  • Suggested Additional References
  • Index