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University of New South Wales

History of Mathematics

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).

Instructor

Professor N. J. Wildberger,

Mathematics

2011

Lecture 1b - Pythagoras' Theorem (cont.)

Lecture 1a - Pythagoras' Theorem

Lecture 2a - Greek Geometry

Lecture 2b - Greek Geometry (cont.)

Lecture 3a - Greek Number Theory

Lecture 3b - Greek Number Theory (cont.)

Lecture 04 - Infinity in Greek Mathematics

Lecture 5a - Number Theory and Algebra in Asia

Lecture 5b - Number Theory and Algebra in Asia (cont.)

Lecture 6a - Polynomial Equations

Lecture 6b - Polynomial Equations (cont.)

Lecture 7a - Analytic Geometry and the Continuum

Lecture 7b - Analytic Geometry and the Continuum (cont.)

Lecture 08 - Projective Geometry

Lecture 09 - Calculus

Lecture 10 - Infinite Series

Lecture 11 - Mechanics and the Solar System

Lecture 12 - Non-Euclidean Geometry

Lecture 13 - The Number Theory Revival

Lecture 14 - Mechanics and Curves

Lecture 15 - Complex Numbers and Algebra

Lecture 16 - Differential Geometry

Lecture 17 - Topology