Quantitative Approximations

ISBN-13: 9781584882213 / Angielski / Twarda / 2000 / 624 str.

George A. Anastassiou

Opis

Quantitative approximation methods apply in many diverse fields of research-neural networks, wavelets, partial differential equations, probability and statistics, functional analysis, and classical analysis to name just a few. For the first time in book form, Quantitative Approximations provides a thorough account of all of the significant developments in the area of contemporary quantitative mathematics. It offers readers the unique opportunity of approaching the field under the guidance of an expert.
Among the book's outstanding features is the inclusion of the introductory chapter that summarizes the primary and most useful results. This section serves not only as a more detailed table of contents for those new to an area of application, but also as a quick reference for more seasoned researchers.
The author describes all of the pertinent mathematical entities precisely and concretely. His approach and proofs are straightforward and constructive, making Quantitative Approximations accessible and valuable to researchers and graduate students alike.

Recenzje

"George Anastassiou has done a tremendous job in showing the diversity of quantitative approximation methods…I am pleased to see an enormous collection of essential quantitative results…there is no doubt that this book should be on the desk of any student or specialist with interests in approximation, limit theorems, and more broadly quantitative mathematical methods and their applications"
-Zari Rachev, University of California, Santa Barbara
"The emphasis of the results presented in this monograph is quantitative, thus, for example, all mathematical entities such as operators or constants are defined precisely. This makes the material accessible to a wide audience of graduate students and scientists. The book is well written and contains a very extensive summary of the author's work over the last fifteen years."
--Steven B. Damelin, in Mathematical Reviews, Issue 2001h

Spis treści

Introduction. On Neural Networks. On Wavelets. On Partial Differential Equations. On Semigroups. On Stochastics. On Functional Analysis. On Approximation Theory. On Classical Analysis.

O autorze

George Anastassiou