Art of the Intelligible: An Elementary Survey of Mathematics.

1. Numerals and notation......Page 6
2. The Mathematics of Anient Greece......Page 14
3. The Development of the Number Concept......Page 33
4. The Evolution of Algebra, I......Page 58
5. The Evolution of Algebra, II......Page 77
6. The Evolution of Algebra, III......Page 94
7. The Development of Geometry, I......Page 116
8. The Development of Geometry, II......Page 134
9.The Calculus and Mathematical Analysis......Page 157
10. The Continuous and the Discrete......Page 179
11. The Mathematics of the Infinite......Page 187
12. The Philosophy of Mathematics......Page 198
Appendix 1 - The Insolubility of some Geometric Construction Problems......Page 215
Appendix 2 - The Goedel Incompleteness Theorems......Page 221
Appendix 3 - The Calculus in SMooth Infinitesimal Analysis......Page 229
Appendix 4 - The Philosophical Thought of a GreatMathematician: Hermann Weyl......Page 236
Biblography......Page 241