Taming the Infinite

US Title: The Story of Mathematics

US Title: The Story of Mathematics

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An illustrated history of mathematics

for a general audience, from its beginnings

in ancient Babylon to the present day.

1 Tokens, Tallies, and Tablets—the birth of numbers

2 The Logic of Shape—first steps in geometry

3 Notations and Numbers—where our number symbols came from

4 Lure of the Unknown—X marks the spot

5 Eternal Triangles—trigonometry and logarithms

6 Curves and Coordinates—geometry is algebra is geometry

7 Patterns in Numbers—the origins of number theory

8 The System of the World—the invention of calculus

9 Patterns in Nature—formulating the laws of physics

10 Impossible Quantities—can negative numbers have square roots?

11 Firm Foundations—making calculus make sense

12 Impossible Triangles—is Euclid's geometry the only one?

13 The Rise of Symmetry—how not to solve an equation

14 Algebra comes of Age—numbers give way to structures

15 Rubber Sheet Geometry—qualitative beats quantitative

16 The Fourth Dimension—geometry out of this world

17 The Shape of Logic—putting mathematics on fairly firm foundations

18 How Likely is That?—the rational approach to chance

19 Number Crunching—calculating machines and computational mathematics

20 Chaos and Complexity—irregularities have patterns too

2 The Logic of Shape—first steps in geometry

3 Notations and Numbers—where our number symbols came from

4 Lure of the Unknown—X marks the spot

5 Eternal Triangles—trigonometry and logarithms

6 Curves and Coordinates—geometry is algebra is geometry

7 Patterns in Numbers—the origins of number theory

8 The System of the World—the invention of calculus

9 Patterns in Nature—formulating the laws of physics

10 Impossible Quantities—can negative numbers have square roots?

11 Firm Foundations—making calculus make sense

12 Impossible Triangles—is Euclid's geometry the only one?

13 The Rise of Symmetry—how not to solve an equation

14 Algebra comes of Age—numbers give way to structures

15 Rubber Sheet Geometry—qualitative beats quantitative

16 The Fourth Dimension—geometry out of this world

17 The Shape of Logic—putting mathematics on fairly firm foundations

18 How Likely is That?—the rational approach to chance

19 Number Crunching—calculating machines and computational mathematics

20 Chaos and Complexity—irregularities have patterns too