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MATH 3560: History of Mathematics (UNSW). Taught by Professor N. J. Wildberger, this course provides an overview of the history of mathematics, in 17 lectures; meant for a broad audience, not necessarily mathematics majors.
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Description
Starting with Greek mathematics, Professor N. J. Wildberger discusses Hindu, Chinese and Arabic influences on algebra; the development of coordinate geometry, calculus and mechanics; the course of geometry from projective to non-Euclidean in the 19th century; complex numbers and algebra; differential geometry; and topology. This course roughly follows John Stillwell's book 'Mathematics and its History' (Springer, 3rd ed).
Course content
- Lecture 01a – Pythagoras’ theorem Unlimited
- Lecture 01b – Pythagoras’ theorem (cont.) Unlimited
- Lecture 02a – Greek Geometry Unlimited
- Lecture 02b – Greek Geometry (cont.) Unlimited
- Lecture 03a – Greek Number Theory Unlimited
- Lecture 03b – Greek Number Theory (cont.) Unlimited
- Lecture 04 – Infinity in Greek Mathematics Unlimited
- Lecture 05a – Number Theory and Algebra in Asia Unlimited
- Lecture 05b – Number Theory and Algebra in Asia (cont.) Unlimited
- Lecture 06a – Polynomial Equations Unlimited
- Lecture 06b – Polynomial Equations (cont.) Unlimited
- Lecture 07a – Analytic Geometry and the Continuum Unlimited
- Lecture 07b – Analytic Geometry and the Continuum (cont.) Unlimited
- Lecture 08 – Projective Geometry Unlimited
- Lecture 09 – Calculus Unlimited
- Lecture 10 – Infinite Series Unlimited
- Lecture 11 – Mechanics and the Solar System Unlimited
- Lecture 12 – Non-Euclidean Geometry Unlimited
- Lecture 13 – The Number Theory Revival Unlimited
- Lecture 14 – Mechanics and Curves Unlimited
- Lecture 15 – Complex Numbers and Algebra Unlimited
- Lecture 16 – Differential Geometry Unlimited
- Lecture 17 – Topology Unlimited
Instructor
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