Suitable for students in mathematics, physics, engineering, and computer science, this book explores contemporary approximation theory. It covers such topics as projections, interpolation paradigms, positive definite functions, interpolation theorems of Schoenberg and Micchelli, tomography, artificial neural networks, and thin-plate splines. Series: Graduate Studies in Mathematics. Num Pages: 359 pages, Illustrations. BIC Classification: PBMW. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 264 x 189 x 24. Weight in Grams: 826. . 2009. Hardcover. . . . .

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Bibliographic Details

Title

Course in Approximation Theory

Publisher

American Mathematical Society

Publication Date

2009

Language

English

ISBN 10

0821847988

ISBN 13

9780821847985

Binding

Hardcover

Condition

New

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About this title

Synopsis

This textbook is designed for graduate students in mathematics, physics, engineering, and computer science. Its purpose is to guide the reader in exploring contemporary approximation theory. The emphasis is on multi-variable approximation theory, i.e., the approximation of functions in several variables, as opposed to the classical theory of functions in one variable. Most of the topics in the book, heretofore accessible only through research papers, are treated here from the basics to the currently active research, often motivated by practical problems arising in diverse applications such as science, engineering, geophysics, and business and economics. Among these topics are projections, interpolation paradigms, positive definite functions, interpolation theorems of Schoenberg and Micchelli, tomography, artificial neural networks, wavelets, thin-plate splines, box splines, ridge functions, and convolutions. An important and valuable feature of the book is the bibliography of almost 600 items directing the reader to important books and research papers. There are 438 problems and exercises scattered through the book allowing the student reader to get a better understanding of the subject.

About the Author

Ward Cheney is Professor of Mathematics at the University of Texas at Austin. His research interests include approximation theory, numerical analysis, and extremum problems.

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