History of mathematics: a supplement

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