The history of mathematics: A brief course (2013)
Part I. What is Mathematics?
Chapter 1. Mathematics and its History
Part II. The Middle East, 2000–1500 BCE
Chapter 3. Overview of Mesopotamian Mathematics
Chapter 4. Computations in Ancient Mesopotamia
Chapter 5. Geometry in Mesopotamia
Chapter 6. Egyptian Numerals and Arithmetic
Chapter 7. Algebra and Geometry in Ancient Egypt
Part III. Greek Mathematics From 500 BCE to 500 CE
Chapter 8. An Overview of Ancient Greek Mathematics
Chapter 9. Greek Number Theory
Chapter 10. Fifth-Century Greek Geometry
Chapter 11. Athenian Mathematics I: The Classical Problems
Chapter 12. Athenian Mathematics II: Plato and Aristotle
Chapter 13. Euclid of Alexandria
Chapter 14. Archimedes of Syracuse
Chapter 15. Apollonius of Perga
Chapter 16. Hellenistic and Roman Geometry
Chapter 17. Ptolemy's Geography and Astronomy
Part IV. India, China, and Japan 500 BCE-1700 CE
Chapter 18. Pappus and the Later Commentators
Chapter 19. Overview of Mathematics in India
Chapter 20. From the Vedas to Aryabhata I
Chapter 21. Brahmagupta, the Kuttaka, and Bhaskara II
Chapter 22. Early Classics of Chinese Mathematics
Chapter 23. Later Chinese Algebra and Geometry
Chapter 24. Traditional Japanese Mathematics
Part V. Islamic Mathematics, 800-1500
Chapter 25. Overview of Islamic Mathematics
Chapter 26. Islamic Number Theory and Algebra
Part VI. European Mathematics, 500-1900
Chapter 28. Medieval and Early Modern Europe
Chapter 29. European Mathematics: 1200-1500
Chapter 30. Sixteenth-Century Algebra
Chapter 31. Renaissance Art and Geometry
Chapter 32. The Calculus Before Newton and Leibniz
Chapter 33. Newton and Leibniz
Chapter 34. Consolidation of the Calculus
Part VII. Special Topics
Chapter 35. Women Mathematicians
Chapter 37. Algebra from 1600 to 1850
Chapter 38. Projective and Algebraic Geometry and Topology
Chapter 39. Differential Geometry
Chapter 40. Non-Euclidean Geometry
Chapter 42. Real Numbers, Series, and Integrals
Chapter 43. Foundations of Real Analysis