The ellipse : a historical and mathematical journey / Arthur Mazer.
"The Ellipse features a unique, narrative approach when presenting the development of this mathematical fixture, revealing its parallels to mankind's advancement from the Counter-Reformation to the Enlightenment. Incorporating illuminating historical background and examples, the author bri...
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Full Text (via ProQuest) |
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| Format: | eBook |
| Language: | English |
| Published: |
Hoboken, N.J. :
Wiley,
©2010.
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Table of Contents:
- Chapter 1: Introduction.
- Chapter 2. The trail: starting out
- 2.1. A sticky matter
- 2.2. Numbers
- Chapter 3: The space: geometry
- 3.1. Euclidean space, dimension and rescaling
- 3.2. Measurements of various objects
- Chapter 4: The language: algebra
- 4.1. Cartesian coordinates and translation of the axes
- 4.2. Polynomials
- 4.3. Circles
- 4.4 The four-dimensional sphere
- 4.5. Finite series and induction
- 4.6. Linear algebra in two dimensions
- 4.7. The ellipse
- Chapter 5: The universal tool: trigonometry
- 5.2. Graphs of the sine, cosine, and tangent functions
- 5.3. Rotations
- 5.4. Identities
- 5.5. Lucky
- 5.6. Ptolemy and Aristarchus
- 5.7 Drawing a pentagon
- 5.8. Polar coordinates
- 5.9. The determinant
- Chapter 6: The slayer: calculus
- 6.1. Studies of motion and the fundamental theorem of calculus
- 6.2. More motion: going in circles
- 6.3. More differential calculus
- 6.4. More integral calculus
- 6.5. Potpourri
- Chapter 7: Eight minutes that changed history
- 7.1. Newton's laws of motion
- 7.2. Galilean checkpoint
- 7.3. Constants of motion and energy
- 7.4. Kepler and Newton: Aristarchus redeemed.