East Midlands Branch

THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS

Chebyshev Polynomials

- here, there and everywhere

A talk by

John Mason

(Huddersfield University)

Friday 17 January 2003

starting at 7.30 pm

Heap Lecture Theatre

University of Derby, Kedleston Road

Abstract

Chebyshev polynomials have a multiplicity of powerful properties and a range of applications leading almost everywhere in numerical analysis, including a key role in polynomial approximation, integration, and spectral methods for ODEs and PDEs. The polynomials also relate directly to special problems in fracture mechanics, antenna array design and integral transforms (of Hilbert type), as well as to the fields of Fourier and Laurent series, orthogonal polynomials, etc. There are also applications in such areas as graph theory and abstract algebra.

We aim to give a flavour of the power of the four kinds of Chebyshev polynomials, as well as their attractiveness and elegance, based on a 40 year involvement - including the 2002 publication with David Handscomb of a 350 page book by CRC Press on "Chebyshev Polynomials - Theory and Applications".

No charge is made to attend meetings, non-IMA members are welcome

For further details of this event or other East Midlands Branch activities consult the Web Site http://science.ntu.ac.uk/msor/ccb/ima.html or by contacting the Branch General Secretary:

Dr Stephen Hibberd, email: Stephen.Hibberd@nottingham.ac.uk or Tel. (0115) 9513841