Interpolation and Approximation
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Interpolation and Approximation
Book Details
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Author: Philip J. Davis
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Publisher: Dover
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Edition: First Edition
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Binding: Paperback
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Number of Pages: 416
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ISBN: 9780486624952
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Languages: English
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Release Date: 23-07-2014
About The Book
Interpolation and Approximation is a comprehensive survey on the topics of interpolation and approximation, essential concepts in computer science and mathematics. Written by a noted authority, this intermediate-level text provides valuable insights and practical examples to help readers understand the intricacies of these mathematical processes. It has been praised for its clarity and the helpful examples that guide readers through complex topics.
The book begins with an introductory chapter that covers essential definitions and theorems. Subsequent chapters delve deeper into topics such as interpolation, remainder theory, convergence theorems, and infinite interpolation. The text also addresses important concepts like uniform and best approximation, least square approximation, Hilbert space, orthogonal polynomials, and approximation of linear functionals.
Designed for readers with a background in real and complex variable theory and linear algebra, this book offers a well-structured exploration of the theories and techniques that are crucial to understanding and applying interpolation and approximation.
About the Author
Philip J. Davis is a Professor Emeritus of Applied Mathematics at Brown University. He has authored several influential works, including Methods of Numerical Integration: Second Edition and Descartes' Dream: The World According to Mathematics (co-written with Reuben Hersh).
