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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 "Demystified" level, questions and answers, and accessibility.
Table of contents
Part One: The Rules of Reason
Chapter 1: The Basics of Propositional Logic
Chapter 2: How Sentences are Put Together
Chapter 3: Formalities and Techniques
Chapter 4: Vagaries of Logic
Test: Part One
Part Two: Proofs in Action
Chapter 5: Some Theoretical Geometry
Chapter 6: Sets and Numbers
Chapter 7: A Few Historic Tidbits
Test: Part Two
Answers to Quiz, Test and Exam Questions
Suggested Additional References
Stan Gibilisco is one of McGraw-Hill's most prolific and popular authors. His clear, reader-friendly writing style makes his math and science books accessible to a wide audience, and his background in research makes him an ideal editor for professional handbooks. He is the author of Geometry Demystified; Trigonometry Demystified; Statistics Demystified; Everyday Math Demystified; Physics Demystified; Electronics Demystified; Electricity Demystified; The TAB Encyclopedia of Electronics for Technicians and Hobbyists; Teach Yourself Electricity and Electronics; and The Illustrated Dictionary of Electronics. Booklist named his McGraw-Hill Encyclopedia of Personal Computing a "Best Reference" of 1996.
Back cover copy
PROOF POSITIVE -- YOU CAN DO MATH PROOFS!
Here's an entertaining way to learn to prove math theorems! You won't need formal training, unlimited time, or a genius IQ. In Math Proofs Demystified, best-selling math and science writer Stan Gibilisco provides an effective and painless way to overcome the intimidation most students feel when venturing into math theory. By the time you finish this book, you'll be proving math theorems with confidence! You'll also understand the fundamentals of elementary logic.
With Math Proofs Demystified, you master the subject one simple step at a time -- at your own speed. This unique self-teaching guide offers problems at the end of each chapter and section to pinpoint weaknesses, and a 70-question final exam to reinforce the entire book.
If you want to build or refresh your math proof skills, here's a fast and entertaining self-teaching course that's specially designed to minimize anxiety. Get ready to:
Explore the wonders of the mathematical world
Learn all about logic, validity, paradoxes, fallacies, and forms of deception
Investigate famous theorems
Develop a plan of action for each proof
Construct proofs for algebra, geometry, set theory, number theory, and other math fields
See how theorems relate to graphs and functions
Take a "final exam" and grade it yourself!
Simple enough for beginners but challenging enough for math-savvy readers, Math Proofs Demystified is a fun way to learn or brush up on the fundamentals of this fascinating subject.