

Preface
Beginnings
Greek Mathematics
Meanwhile, in India
Arabic Mathematics
Medieval Europe
The 15th and 16th Centuries
Algebra Comes of Age
Calculus and Applied Mathematics
Rigor and Professionalism
Abstraction, Computers, and New Applications
Mathematics Today
1. Keeping Count: Writing Whole Numbers
2. Reading and Writing Arithmetic: Where the Symbols Came From
3. Nothing Becomes a Number: The Story of Zero
4. Broken Numbers: Writing Fractions
5. Something Less Than Nothing?: Negative Numbers
6. By Tens and Tenths: Metric Measurement
7. Measuring the Circle: The Story of π
8. The Cossic Art: Writing Algebra with Symbols
9. Linear Thinking: Solving First Degree Equations
10. A Square and Things: Quadratic Equations
11. Intrigue in Renaissance Italy: Solving Cubic Equations
12. A Cheerful Fact: The Pythagorean Theorem
13. A Marvelous Proof: Fermat's Last Theorem
14. On Beauty Bare: Euclid's Plane Geometry
15. In Perfect Shape: The Platonic Solids
16. Shapes by the Numbers: Coordinate Geometry
17. Impossible, Imaginary, Useful: Complex Numbers
18. Half Is Better: Sine and Cosine
19. Strange New Worlds: The Non-
20. In the Eye of the Beholder: Projective Geometry
21. What's in a Game?: The Start of Probability Theory
22. Making Sense of Data: Statistics Becomes a Science
23. Machines that Think?: Electronic Computers
24. The Arithmetic of Reasoning: Logic and Boolean Algebra
25. Beyond Counting: Infinity and the Theory of Sets
The Reference Shelf
Fifteen Historical Books You Ought to Read
Internet and Other Media
Bibliography
Index

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© 2006 Oxton House Publishers, LLC
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