Approximation Theory and Applications: Home
Welcome to the Approximation Theory and Applications Course Guide!
The resources within this guide have been specifically chosen for their usefulness to those studying Fixed Point Theory and Applications. You can find useful databases, books, websites and more by using the tabs above.
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These Research Guides are designed by librarians to assist students studying at the Riphah International University. Use the tabs along the top edge of this box to locate various resources. You can use this research guide to help you with class assignments. The 'Getting Started' tab gives an overview of the steps you can take when researching an assignment in the Riphah International University Library. The following tabs cover the resources in more detail. If you run into obstacles, please don't hesitate to contact the Information Advisor.
Approximation theory is an established field, and my aim is to teach you some of its most important ideas and results, centered on classical topics related to polynomials and rational functions. The style of this book, however, is quite different from what you will find elsewhere. Everything is illustrated computationally with the help of the Cheb fun software package in Matlab, from Chebyshev interpolants to Lebesgue constants, from the Weierstrass approximation theorem to the Remez algorithm. Everything is practical and fast, so we will routinely compute polynomial interpolants or Gauss quadrature weights for tens of thousands of points.