Math 390: History of Math
Syllabus
Slides
Slides from each lecture (as numbered in the syllabus) are available via the links below.
- Lecture 1 HoM in a Large Nutshell
- Lecture 2 Egyptian Math
- Lecture 3 Mesopotamian Math
- Lecture 4 Pre-Euclidean Math
- Lecture 5 Greek Philosophy of Math
- Lecture 6 Euclid
- Lecture 7 Archimedes; Greek conics and trig
- Lecture 8 Late Greek Math
- Lecture 9 Chinese Arithmetic and Linear Algebra
- Lecture 10 Indian Arithmetic and Algebra
- Lecture 11 Arabic Arithmetic and Algebra: al-Khwarizmi
- Lecture 12 Medieval Arithmetic and Algebra: Fibonacci
- Lecture 13 16th Century Algebra: Fibonacci and Jordanus/Developments in Algebra
- Lecture 14 Developments in Algebra: Bombelli, Viete
- Lecture 15 Developments in Algebra: Fermat and Descartes
- Lecture 16 Calculus: Beginnings
- Lecture 17 Calculus: Newton
- Lecture 18 Calculus: Leibniz
- Lecture 19 Foundations of Calculus
- Lecture 20 Probability
- Lecture 21 Geometry and the Parallel Postulate
- Lecture 22 Modern Algebra
- Lecture 23 Non-Euclidean Geometry
- Lecture 24 Axioms and Set Theory
- Lecture 25 Logic and Logicism
- Lecture 26 Formalism
- Lecture 27 Statistics and Computation
- Lecture 28 Recent Developments in Mathematics
- Lecture 29 Women in Math