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History of mathematics: a supplement
Author
Publisher
Springer
Publication Date
c2008
Language
English
Description
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Table of Contents
From the Book
1. Introduction
1. An Initial Assignment
2. About This Book
2. Annotated Bibliography
1. General Remarks
2. General Reference Works
3. General Biography
4. General History of Mathematics
5. History of Elementary Mathematics
6. Source Books
7. Multiculturalism
8. Arithmetic
9. Geometry
10. Calculus
11. Women in Science
12. Miscellaneous Topics
13. Special Mention
14. Philately
3. Foundations of Geometry
1. The Theorem of Pythagoras
2. The Discovery of Irrational Numbers
3. The Eudoxian Response
4. The Continuum from Zeno to Bradwardine
5. Tiling the Plane
6. Bradwardine Revisited
4. The Construction Problems of Antiquity
1. Some Background
2. Unsolvability by Ruler and Compass
3. Conic Sections
4. Quintisection
5. Algebraic Numbers
6. Petersen Revisited
7. Concluding Remarks
5. A Chinese Problem
6. The Cubic Equation
1. The Solution
2. Examples
3. The Theorem on the Discriminant
4. The Theorem on the Discriminant Revisited
5. Computational Considerations
6. One Last Proof
7. Horner's Method
1. Horner's Method
2. Descartes' Rule of Signs
3. De Gua's Theorem
4. Concluding Remarks
8. Some Lighter Material
1. North Korea's Newton Stamps
2. A Poetic History of Science
3. Drinking Songs
4. Concluding Remarks
A. Small Projects
1. Dihedral Angles
2. Inscribing Circles in Right Triangles
3. cos 90
4. Old Values of π
5. Using Polynomials to Approximate π
6. π à la Horner
7. Parabolas
8. Finite Geometries and Bradwardine's Conclusion 38
9. Root Extraction
10. Statistical Analysis
11. The Growth of Science
12. Programming
Index
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ISBN
9780387754802
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