## MATH 3560 - History of Mathematics

**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. 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).

Lecture 17 - Topology |

This lecture gives a brief introduction to Topology. Topics are discussed: the Euler characteristic of a polyhedron, the sphere, torus, genus g surfaces and the classification of orientable, non-orientable closed 2 dimensional surfaces, and the Poincare conjecture, solved recently by G. Perelman.

Go to **the Course Home** or watch other lectures: