### Edited by : Vagn Lundsgaard Hansen,

Department of Mathematics, Technical University of Denmark

### Jeremy Gray,

Centre for Mathematical Sciences,
Open University, UK

## The development of mathematics in a historical perspective.

## 1. The origins of mathematics: Speculations.

## 2. The roots of mathematics in Africa.

## 3. Mathematical Practices in Egypt and Mesopotamia.

## 4. The Changes in Mathematics Mediated by the Greeks: Classical and Alexandrian.

## 5. The Changes in Mathematics Mediated by the Greeks: Late Antiquity and
Transmission.

## 6. Mathematics in India.

## 7. Mathematics of the Islamic world.

## 8. History of Trigonometry.

## 9. Mathematics in China.

## 10. Mathematics in Japan.

## 11. Mathematics in pre-Columbian America.

## 12. Mathematics as a multicultural endeavor.

## 13. Geometry in the 19th century.

## 14. From geometry to topology.

## 15. Number theory through the ages.

## 16. History of algebra: Group theory.

## 17. History of algebra: Rings, fields and vector spaces.

## 18. Geometry and calculus in the 17th century.

## 19. Gravity: From Newton to spiral galaxies.

## 20. The Mathematisation of the Physical Sciences. Differential Equations of
Nature.

## 21. Dynamical Systems from PoincarĂ© to Yesterday.

## 22. Geometrical physics.

## 23. The rigorisation of the calculus.

## 24. Measure Theories and Applications to Ergodicity Problems.

## 25. History of probability and stochastics.

## 26. Statistics and the biological sciences.

## 27. History of discrete mathematics.

## 28. History of mathematical modelling.

## 29. Number Systems

## 30. Mathematics and computing

## 31. History of Operations Research

## 32. Elementary mathematics from an advanced standpoint.

## 33. History of the teaching of mathematics.

## 34. Philosophy of mathematics in a historical perspective.

## 35. The foundations of mathematics in a historical perspective.

## 36. The world of mathematicians.

## 37. The Essence and History of Mathematical Proof.

## 38. Algorithms

## 39. Geometry in the 20th century.

## 40. Bourbaki: An Epiphenomenon.

## 41. Mathematics and physics in the 20th century.

## 42. History of algebraic geometry.