Verwandte Artikel zu Fundamentals of Approximation Theory
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Inhaltsangabe
This book presents a systematic and in-depth treatment of some basic topics in approximation theory in an effort to emphasize the rich connections of different branches of analysis with this subject.
It contains a good blend of both the classical as well as abstract topics in the domain and their interconnections as appropriate. The approach is from the very concrete to more and more abstract levels. In order to provide a historical perspective on the results, a section on notes is appended to each chapter with an extensive bibliography. Researchers will find several references to recent developments. Problems of varying degree of difficulty accompany each chapter. Some of these problems complement certain results from the text. The others, more challenging, are drawn from the contemporary research articles. Ample hints are provided for such problems.
Primarily aimed at graduate students and teachers of mathematics, researchers interested in an introduction to the specific results or techniques of approximation theory will find this book very attractive.
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Críticas
"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
Reseña del editor
This book presents a systematic and in-depth treatment of some basic topics in approximation theory in an effort to emphasize the rich connections of different branches of analysis with this subject. It contains a good blend of both the classical as well as abstract topics in the domain and their interconnections as appropriate. The approach is from the very concrete to more and more abstract levels. In order to provide a historical perspective on the results, a section on notes is appended to each chapter with an extensive bibliography. Researchers will find several references to recent developments. Problems of varying degree of difficulty accompany each chapter. Some of these problems complement certain results from the text. The others, more challenging, are drawn from the contemporary research articles. Ample hints are provided for such problems. Primarily aimed at graduate students and teachers of mathematics, researchers interested in an introduction to the specific results or techniques of approximation theory will find this book very attractive. What reviewers said about the First Edition: "there are a few novel features in the book such as the use of the Peetre K-functional, the topic of Hermite-Birkhoff interpolation, and the use of complex variable methods in the study of Fourier series". "A graduate student who was fluent in this book would be prepared for research in almost any area of approximation theory". (F. Deutsch in "Mathematical Reviews", AMS). "This is a rich book and a valuable addition to the literature in a fast growing field". (D. Gaier in "Zentralblatt fur Mathematik"). "I think the book will become a standard reference in the field". (S.Cobzas in Studia Univ. "Babes-Bolyai", Mathematica).
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