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Index
Cover
Halftitle Page
Title Page
Copyright Page
Preface to the Second Edition
Preface to the First Edition
Acknowledgments
Contents
History in the Mathematics Classroom
The History of Mathematics in a Large Nutshell
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
Sketches
1. Keeping Count: Writing Whole Numbers
2. Reading and Writing Arithmetic: The Basic Symbols
3. Nothing Becomes a Number: The Story of Zero
4. Broken Numbers: Writing Fractions
5. 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. In Perfect Shape The Platonic Solids
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-Euclidean Geometries
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: Boolean Algebra
25. Beyond Counting: Infinity and the Theory of Sets
26. Out of the Shadows: The Tangent Function
27. Counting Ratios: Logarithms
28. Any Way You Slice It: Conic Sections
29. Beyond the Pale: Irrational Numbers
30. Barely Touching: From Tangents to Derivatives
What to Read Next
The Reference Shelf
Twelve Historical Books You Ought to Read
History Online
When They Lived
Bibliography
Index
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