Quantitative Approximations
Autor George Anastassiouen Limba Engleză Hardback – 15 sep 2000
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.
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Specificații
ISBN-13: 9781584882213
ISBN-10: 1584882212
Pagini: 624
Ilustrații: 150 b/w images and 1000 equations
Dimensiuni: 156 x 234 x 37 mm
Greutate: 1.02 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
ISBN-10: 1584882212
Pagini: 624
Ilustrații: 150 b/w images and 1000 equations
Dimensiuni: 156 x 234 x 37 mm
Greutate: 1.02 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Public țintă
ProfessionalCuprins
Introduction. On Neural Networks. On Wavelets. On Partial Differential Equations. On Semigroups. On Stochastics. On Functional Analysis. On Approximation Theory. On Classical Analysis.
Recenzii
"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
-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
Descriere
Quantitative Approximations provides a thorough account of all of the significant developments in the area of contemporary quantitative mathematics. It shows that quantitative approximation methods penetrate and are applied in many diverse and important mathematical research fields. These areas of application include neural networks, wavelets, partial differential equations, semigroups of operators, probability and statistics, functional analysis, approximation theory, and classical analysis. The author describes all of the pertinent mathematical entities precisely and concretely, and includes all major research results from the past 15 years.