• 1 Mathematics for Civil Servants.- 2 The Earliest Number Theory.- 3 The Dawn of Deductive Mathematics.- 4 The Pythagoreans.- 5 The Pythagoreans and Perfection.- 6 The Pythagoreans and Polyhedra.- 7 The Pythagoreans and Irrationality.- 8 The Need for the Infinite.- 9 Mathematics in Athens Before Plato.- 10 Plato.- 11 Aristotle.- 12 In the Time of Eudoxus.- 13 Ruler and Compass Constructions.- 14 The Oldest Surviving Math Book.- 15 Euclid’s Geometry Continued.- 16 Alexandria and Archimedes.- 17 The End of Greek Mathematics.- 18 Early Medieval Number Theory.- 19 Algebra in the Early Middle Ages.- 20 Geometry in the Early Middle Ages.- 21 Khayyam and the Cubic.- 22 The Later Middle Ages.- 23 Modern Mathematical Notation.- 24 The Secret of the Cubic.- 25 The Secret Revealed.- 26 A New Calculating Device.- 27 Mathematics and Astronomy.- 28 The Seventeenth Century.- 29 Pascal.- 30 The Seventeenth Century II.- 31 Leibniz.- 32 The Eighteenth Century.- 33 Lagrange.- 34 Nineteenth-Century Algebra.- 35 Nineteenth-Century Analysis.- 36 Nineteenth-Century Geometry.- 37 Nineteenth-Century Number Theory.- 38 Cantor.- 39 Foundations.- 40 Twentieth-Century Number Theory.- References.- Appendix A Sample Assignments and Tests.- Appendix ? Answers to Selected Exercises.

"...The book is well written and will help those who look for a deeper understanding of mathematical culture." -- MATHEMATICAL REVIEWS