Revised by Uta C. Merzbach1. Origins 2. Egypt3. Mesopotamia4. Ionia and the Pythagoreans5. The Heroic Age6. The Age of Plato and Aristotle7. Euclid of Alexandria8. Archimedes of Syracuse9. Apollonius of Perga10. Greek Trigonometry and Mensuration11. Revival and Decline of Greek Mathematics12. China and India 13. The Arabic Hegemony 14. Europe in the Middle Ages 15. The Renaissance 16. Prelude to Modern Mathematics17. The Time of Fermat and Descartes18. A Transitional Period 19. Newton and Leibni...

Ecole Nationale D'arts Et MetiersD' AixCinematique Et Geometrie DescriptiveAix Le 14 Novembre 1896.

1. The Theorem of Pythagoras2. Greek Geometry3. Greek Number Theory4. Infinity in Greek Mathematics5. Number Theory in Asia6. Polynomial Equations7. Analytic Geometry8. Projective Geometry9. Calculus10. Infinite Series11. The Number Theory Revival12. Elliptic Functions13. Mechanics14. Complex Numbers in Algebra15. Complex Numbers and Curves16. Complex Numbers and Functions17. Differential Geometry18. Noneuclidean Geometry19. Group Theory20. Hypercomplex Numbers21. Algebraic Number Theory22. Topo...

1. Triangles2. Regular Polygons3. Isometry in the Euclidean Plane4. Two-Dimensional Crystallography5. Similarity in the Euclidean Plane6. Circles and Spheres7. Isometry and Similarity in Euclidean Space8. Coordinates9. Complex Numbers10. The Five Platonic Solids11. The Golden Section and Phyllotaxis12. Ordered Geometry13. Affine Geometry14. Projective Geometry15. Absolute Geometry16. Hyperbolic Geometry17. Differential Geometry of Curves18. The Tensor Notation19. Differential Geometry of Surface...