IEEE Spectrum February, 2014 - 29
Prove It: The Art of
Mathematical Argument
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What Are Proofs, and How Do I Do Them?
The Root of Proof-A Brief Look at Geometry
The Building Blocks-Introduction to Logic
More Blocks-Negations and Implications
Existence and Uniqueness-Quantifiers
The Simplest Road-Direct Proofs
Let's Go Backward-Proofs by Contradiction
Let's Go Both Ways-If-and-Only-If Proofs
The Language of Mathematics-Set Theory
Bigger and Bigger Sets-Infinite Sets
Mathematical Induction
Deeper and Deeper-More Induction
Strong Induction and the Fibonacci Numbers
I Exist Therefore I Am-Existence Proofs
I Am One of a Kind-Uniqueness Proofs
Let Me Count the Ways-Enumeration Proofs
Not True! Counterexamples and Paradoxes
When 1 = 2-False Proofs
A Picture Says It All-Visual Proofs
The Queen of Mathematics-Number Theory
Primal Studies-More Number Theory
Fun with Triangular and Square Numbers
Perfect Numbers and Mersenne Primes
Let's Wrap It Up-The Number e
Uncover Math's
Deepest Insights
Mathematical proof is the gold standard of knowledge. Once
a mathematical statement has been proved with a rigorous
argument, it counts as true throughout the universe and for all
time. Imagine, then, the thrill of being able to prove something in
mathematics. But you don't have to imagine the exhilaration of
constructing a proof-you can do it!
Suitable for everyone from high school students to the more
math-savvy, Prove It initiates you into this thrilling discipline
with 24 lectures from award-winning Professor Bruce H. Edwards
of the University of Florida. The author of many widely used
textbooks, Professor Edwards has a knack for bringing abstract
material down to earth and making mathematics as exciting to his
audience as it clearly is to him.
Offer expires 04/02/14
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Prove It: The Art of Mathematical Argument
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Table of Contents for the Digital Edition of IEEE Spectrum February, 2014
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