The Practice of Mathematics

There are several central mathematical problems, or complexes of problems, that every mathematician who is eager to acquire some broad competence in the subject would like to understand, even if he has no ambition to attack them all. That would be out of the question! Those with the most intellectual and aesthetic appeal to the lecturer are in number theory, classical applied mathematics and mathematical physics. In spite of forty years as a mathematician, he has diffculty describing these problems, even to himself, in a simple, cogent and concise manner that makes it clear what is wanted and why. As a possible, but only partial, remedy the professor thought he might undertake to explain them to a lay audience.



He shall try for a light touch including, in particular, some historical background. Nevertheless the lectures are to be about mathematics. In the first set, there will be geometrical constructions, simple algebraic equations, prime numbers, and perhaps an occasional integral. Every attempt will be made to explain the necessary notions clearly and simply, taking very little for granted except the good will of the audience.



Seminars Website



Applied Mathematics Seminars (Duke University)

Seminars cover a broad range of topics including Numerical Analysis, Ordinary and Partial differential equations, Nonlinear systems, Scientific computing, Dynamical systems theory, Mathematical biology, Pattern formation, and Complex physical systems.





Spring 2001:



Fall 2000:

Spring 2000:

Fall 1999:

Geometry/Topology Seminars (Duke University)

Seminars Website

Topology seminars cover moduli spaces of algebraic curves, 3-manifolds, stratified spaces, real and complex algebraic varieties. Geometry seminars cover the geometry and arithmetic of algebraic varieties, the geometry of singularities, general relativity and gravitational lensing exterior differential systems, the geometry of PDE and conservation laws, geometric analysis and Lie groups, modular forms, control theory and Finsler geometry, and index theory.

Fall 2001:

Spring 2001:

Fall 2000:

Spring 2000:

Fall 1999:

Spring 1999:



General Mathematics Lectures (Duke University)

Lectures Website

General Mathematics Lectures (Duke University)

Spring 2002:

Fall 2001:

Spring 2001:

Fall 2000:

Spring 2000:

KDI Seminars (Duke University)

Seminars Website

Lectures covering the special topic of the study of the intricate and little-understood complexities of how liquids flow through porous media such as geological formations.

Spring 2001:

Spring 2000:

Fall 1999:

String Theory Seminars (Duke University)

Lectures on String Theory from the Center for Geometry and Theoretical Physics.

Fall 2005:

Spring 2005:

Fall 2004:

Fall 2003:

Spring 2003:

Fall 2002:

Fall 2001:

Spring 2001:

Fall 2000:

Spring 2000:

Fall 1999:

Spring 1999:

Fall 1998:

Related posts:

Mathematics Video Lectures

(Includes calculus, vector calculus, tensors, the most important concepts of mathematics, basic mathematics, numerical methods, p=np problem, randomness, fractals and splines and various lectures from advanced institute for study.)

Sorry for such a long delay since the last update.. I have been studying alot and did not have time to update.This time I have add more mathematics video lectures I had in my bookmarks.The following and more seminar video lectures can be found at: