Fundamentals of Approximation Theory
Editorial Reviews
Review
Can this book be used as a text for a course in approximation theory? The answer is a qualified yes. . . In short, a graduate student who was fluent in this book would be prepared for research in almost any areas of approximation theory, with the possible exception of wavelets. Hence the book should be a valuable resource.
-F. Deutsch
This book presents a systematic, in-depth treatment of some basic topics in approximation theory designed to emphasize the rich connections of the subject with other areas of study. With an approach that moves smoothly from the very concrete to more and more abstract levels, this text provides a blend of classical and abstract topics.... Ideal for an introductory graduate-level class, this book also contains enough advanced material to serve more specialized courses at the doctoral level and to interest scientists and engineers.
-Appl Mech Rev, vol. 54, no. 6, November 2001
Book Description
The subject of approximation theory plays an increasingly important role in applications to many branches of applied sciences and engineering. Written in the span of almost a decade, Fundamentals of Approximation Theory serves as both an introductory text as well as an advanced review of the field. The first five chapters give the reader the core information to begin research in this domain. The next three chapters devote attention to special topics, exposing the reader to complex analytic methods and techniques of functional analysis. The authors emphasize the connections between different branches of analysis with approximation theory - between the 'classical' and the 'abstract.' They also include noteworthy features such as K-functionals, Hermite-Birkhoff interpolation, Lagrange-Hermite-Fejr-type interpolation, and complex methods in the treatment of Fourier series.
Fundamentals of Approximation Theory
Fundamentals of Approximation Theory,Hrushikesh N. Mhaskar,Devidas V. Pai,Narosa,0849309395,Algebra - Intermediate,Approximation Theory,Logic,Mathematics,Probability & Statistics - General,Science/Mathematics,Calculus & mathematical analysis,Mathematical foundations,Mathematics / Applied
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