A Course in Approximation Theory
Jan 2009 · American Mathematical Soc.
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About this ebook
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.
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コーリー（aronoco）
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April 17, 2019
I am currently in a class using this textbook. Hopefully you never have to take a class with a professor that uses this textbook. There is little to no structure, the author is all over the place, and it is very difficult to comprehend. If you are a professor, and are thinking of using this textbook, MAKE SURE that you read through the contents of this book! I have 2 textbooks with one of (or both, I don't remember) these authors and both explain in a stream-of-consciousness format.
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