Math 390: History of Math
Catalog Course Description: A survey of the history of mathematics from ancient times into the 20th century, in cultural context, with attention given to how the philosophy of mathematics relates to the development of mathematics.
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 and Apollonius
- Lecture 8 Chinese Arithmetic and Linear Algebra
- Lecture 9 Indian Arithmetic and Algebra
- Lecture 10 Arabic Arithmetic and Algebra: al-Khwarizmi
- Lecture 11 Astronomy and Navigation
- Lecture 12 Math around the world
- Lecture 13 Medieval Arithmetic and Algebra: Fibonacci
- Lecture 14 Medieval and Renaissance Algebra
- Lecture 15 Bombelli and Viete
- Lecture 16 Other Renaissance Mathematics
- Lecture 17 Descartes and Fermat
- Lecture 18 Calculus: Beginnings
- Lecture 19 Calculus: Newton
- Lecture 20 Calculus: Leibniz
- Lecture 21 Foundations of Calculus
- Lecture 22 Probability
- Lecture 23 18th Century Algebra and Number Theory
- Lecture 24 18th Century Geometry
- Lecture 25 Modern Algebra
- Lecture 26 19th Century Analysis
- Lecture 27 19th Century Geometry
- Lecture 28 Axioms and Set Theory
- Lecture 29 Foundational Crises
- Lecture 30 Statistics and Computation
- Lecture 31 Recent Developments
- Lecture 32 Women in Math
- Lecture 33 A Neo-Kuyperian Approach to Math
- Lecture 34 Math at Dordt