Graduate Studies in Mathematics
Volume: 101; 2000; 359 pp; Hardcover
MSC: Primary 41;
Print ISBN: 978-0-8218-4798-5
Product Code: GSM/101
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MAA Member Price: $65.70

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Electronic ISBN: 978-1-4704-1165-7
Product Code: GSM/101.E
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MAA Member Price: $65.70

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A Course in Approximation Theory

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Ward Cheney; Will Light

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.

Originally published by Brooks Cole/Cengage Learning as ISBN: 978-0-534-36224-9.

Readership

Graduate students and research mathematicians interested in approximation theory and applications.

Reviews & Endorsements

Working through this book provides an opportunity to review and apply areas of mathematics learned elsewhere, as well as to learn entirely new topics.

-- MAA Reviews

The textbook, a clear and concise work written by world-renowned experts in the field of approximation theory, will probe useful not only as a reference for professional mathematicians but also as a text for graduate students.

-- Mathematical Reviews

A Course in Approximation Theory

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Print Product Code: GSM/101

Online Product Code: GSM/101.E

Title (HTML): A Course in Approximation Theory

Author(s) (Product display): Ward Cheney; Will Light

Affiliation(s) (HTML): University of Texas at Austin, Austin, TX;

Abstract:

Book Series Name: Graduate Studies in Mathematics

Volume: 101

Publication Month and Year: 2009-01-13

Page Count: 359

Cover Type: Hardcover

Print ISBN-13: 978-0-8218-4798-5

Online ISBN 13: 978-1-4704-1165-7

Print ISSN: 1065-7339

Online ISSN: 1065-7339

Primary MSC: 41

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Supplemental Materials (URL at AMS): https://www.ams.org/bookpages/gsm-101

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Readership:

Graduate students and research mathematicians interested in approximation theory and applications.

Reviews:

Working through this book provides an opportunity to review and apply areas of mathematics learned elsewhere, as well as to learn entirely new topics.

-- MAA Reviews

-- Mathematical Reviews

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Cover
- Cover
Title
- Title
Copyright
- Copyright
Contents
- Contents
Chapter 1 Introductory Discussion of Interpolation
- Chapter 1 Introductory Discussion of Interpolation
Index
- Index
Index of Symbols
- Index of Symbols

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A Course in Approximation Theory

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Table of Contents

A Course in Approximation Theory

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Cover

Title

Copyright

Contents

Chapter 1 Introductory Discussion of Interpolation

Index

Index of Symbols