## MATH 381: Mathematics with a historical perspective

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## Text:

Carl Boyer, A History of Mathematics, John Wiley, 2011

## Assignments:

Assignment 1

Assignment 2

Assignment 3

Assignment 4

## Slides of Lectures

1. Introduction and Ancient Egypt

2. Mesopotamia

3. Thales and Pythagoras

4. Three problems of antiquity

5. Plato and Aristotle

6. Euclid of Alexandria

7. Archimedes

8. Archimedes and the sphere

9. Appolonius and conic sections

10. Greek trigonometry: Eratosthenes and Heron

11. Diophantus and Pappus

12. Mathematics in Ancient China

13. Mathematics in Ancient India

14. Brahmagupta and Bhaskara

15. Al-Khwarizmi and Arabic Mathematics

16. Fibonacci and Mathematics in the Middle Ages

17. Mathematics of the Renaissance

18. Viete, Kepler and Galileo: 16th century mathematics

19. Pascal, Fermat and Descartes

20. From Madhava to Wallis: Prelude to calculus

21. Newton and Leibniz: The development of calculus

22. Newton's derivation of Kepler's laws Documentary on Newton

23. The Bernoulli family and the development of analysis

24. Stirling and de Moivre: The development of probability theory

25. The Age of Euler

26. Lagrange, Laplace, Legendre and the French Revolution

27. Gauss, The Prince of Mathematicians

28. Cauchy, Fourier and Chebycheff

29. Galois, Abel and Jacobi: the development of group theory

30. Riemann and Dirichlet: the distribution of primes

31. 20th century mathematics: a short survey

32. 20th century mathematics: a short survey (video)