Math Proofs Demystified
β STAN GIBILISCO
π Library
π
2005
π Mcgraw-Hill
π English
β¦ LIBER β¦
π
Math proofs demystified
β Scribed by Stan Gibilisco
- Publisher
- McGraw-Hill
- Year
- 2005
- Tongue
- English
- Leaves
- 309
- Series
- Demystified
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition, mathematical theorems have become an interesting course for many students outside of the mathematical arena, purely for the reasoning and logic that is needed to complete them. Therefore, it is not uncommon to have philosophy and law students grappling with proofs. This book is the perfect resource for demystifying the techniques and principles that govern the mathematical proof area, and is done with the standard βDemystifiedβ level, questions and answers, and accessibility.
β¦ Table of Contents
Terms of Use......Page 5
Want to learn more?......Page 6
Contents......Page 9
Foreword......Page 13
Preface......Page 15
Acknowledgments......Page 17
Part One: The Rules of Reason......Page 21
Operations and Symbols......Page 23
Truth Tables......Page 29
Some Basic Laws......Page 33
Truth Table Proofs......Page 37
Quiz......Page 48
Sentence Structure......Page 51
Quantifiers......Page 57
Well-formed Formulas......Page 62
Venn Diagrams......Page 67
Quiz......Page 73
Seeds of a Theory......Page 77
Theorems......Page 83
A Theory Grows......Page 89
Techniques for Proving Things......Page 91
Quiz......Page 100
Cause, Effect, and Implication......Page 103
The Probability Fallacy......Page 111
Weak and Flawed Reasoning......Page 113
Paradoxes and Brain Teasers......Page 122
Quiz......Page 133
Test: Part One......Page 137
Part Two: Proofs in Action......Page 149
Some Definitions......Page 151
Similar and Congruent Triangles......Page 162
Some Axioms......Page 170
Some Proofs at Last!......Page 175
Quiz......Page 189
Some Definitions......Page 193
Axioms......Page 200
Some Proofs at Last!......Page 202
Quiz......Page 218
You "Build" It......Page 221
The Theorem of Pythagoras......Page 236
The Square Root of 2......Page 240
The Greatest Common Divisor......Page 246
Prime Numbers......Page 249
Quiz......Page 257
Test: Part Two......Page 261
Final Exam......Page 273
Answers to Quiz, Test, and Exam Questions......Page 295
Suggested Additional References......Page 299
Index......Page 301
About the Author......Page 309
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Math Proofs Demystified
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This book is too elementary for advanced students (upper undergraduate, graduate or above), * even non-math majors *, and even if you have never taken a course on math proofs or logic. You won't find much in this book that you haven't already gotten from other sources or learned "the hard way".
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Before reading this book, I already understood many of the concepts presented, but I had never learned them "formally", so I gave it a shot. I liked the format, the concepts were presented in small portions with quizzes after each portion (then a final quiz for the whole chapter). If I had to do it