Greedy Approximation by Vladimir Temlyakov (English) Hardcover Book

Description: Greedy Approximation by Vladimir Temlyakov Vladimir Temlyakov guides the reader through the fundamental results and introduces two other hot topics in numerical mathematics: learning theory and compressed sensing. Researchers will welcome this first book on the subject. It is ideal for graduate courses and includes many important open problems that provide ideas for further research. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description This first book on greedy approximation gives a systematic presentation of the fundamental results. It also contains an introduction to two hot topics in numerical mathematics: learning theory and compressed sensing. Nonlinear approximation is becoming increasingly important, especially since two types are frequently employed in applications: adaptive methods are used in PDE solvers, while m-term approximation is used in image/signal/data processing, as well as in the design of neural networks. The fundamental question of nonlinear approximation is how to devise good constructive methods (algorithms) and recent results have established that greedy type algorithms may be the solution. The author has drawn on his own teaching experience to write a book ideally suited to graduate courses. The reader does not require a broad background to understand the material. Important open problems are included to give students and professionals alike ideas for further research. Author Biography Vladimir Temlyakov is Carolina Distinguished Professor in the Department of Mathematics at the University of South Carolina. Table of Contents Preface; 1. Greedy approximation with respect to bases; 2. Greedy approximation with respect to dictionaries: Hilbert spaces; 3. The entropy; 4. Approximation in learning theory; 5. Approximation in compressed sensing; 6. Greedy approximation with respect to dictionaries: Banach spaces; References; Index. Review The author is the leading expert on greedy approximation and this book offers a guided tour through the state of the art of the subject. Temlyakovs book is an excellent mathematical monograph and a valuable reference for researchers not only in approximation theory, but also in numerical mathematics, analysis, functional analysis, and statistics. The book is addressed mainly to researchers interested in greedy approximation and related areas. However, it is written at a level that is approachable for graduate students interested in the aforementioned areas, and it could be used for designing graduate courses in greedy approximation, learning theory and compressed sensing. As an added bonus, the author has included an extensive list of open problems in the area that can serve as inspiration for future research papers and dissertations. Morten Nielsen, SIAM News "The book is written in a mathematically rigorous but clear and readable style. It is completely self-contained; Temlyakov includes all of the necessary background information. Therefore, it is certainly a well-suited textbook for graduate courses. Moreover, graduate students and professional researchers who are prepared to work their way through the classical mathematical definition-theorem-proof style should read the book on their own--they will greatly benefit from its excellent introduction to a highly interesting and novel area of applied mathematics." Kai Diethelm, Computing Reviews "The author is the leading expert on greedy approximation and this book offers a guided tour through the state of the art of the subject. Temlyakovs book is an excellent mathematical monograph and a valuable reference for researchers not only in approximation theory, but also in numerical mathematics, analysis, functional analysis, and statistics. The book is addressed mainly to researchers interested in greedy approximation and related areas. However, it is written at a level that is approachable for graduate students interested in the aforementioned areas, and it could be used for designing graduate courses in greedy approximation, learning theory and compressed sensing. As an added bonus, the author has included an extensive list of open problems in the area that can serve as inspiration for future research papers and dissertations." Morten Nielsen, SIAM News "This is an excellent book on theory of greedy approximation, a part of non linear approximation. To the best of my knowledge, it is the first book completely devoted to this subject." Marcello Sanguineti, Mathematical Reviews Review Quote "This is an excellent book on theory of greedy approximation, a part of non linear approximation. To the best of my knowledge, it is the first book completely devoted to this subject." Marcello Sanguineti, Mathematical Reviews Promotional "Headline" Provides the theoretical foundations for algorithms widely used in numerical mathematics. Includes classical results, as well as the latest advances. Description for Bookstore Vladimir Temlyakov guides the reader through the fundamental results and introduces two other hot topics in numerical mathematics: learning theory and compressed sensing. Researchers will welcome this first book on the subject. It is ideal for graduate courses and includes many important open problems that provide ideas for further research. Description for Library Vladimir Temlyakov guides the reader through the fundamental results and introduces two other hot topics in numerical mathematics: learning theory and compressed sensing. Researchers will welcome this first book on the subject. It is ideal for graduate courses and includes many important open problems that provide ideas for further research. Details ISBN1107003377 Author Vladimir Temlyakov Year 2011 ISBN-10 1107003377 ISBN-13 9781107003378 Media Book Format Hardcover Short Title GREEDY APPROXIMATION Publisher Cambridge University Press Series Cambridge Monographs on Applied and Computational Mathematic Language English Series Number 20 DEWEY 518.5 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Pages 432 Illustrations Yes Birth 1953 Affiliation University of South Carolina Audience Professional and Scholarly UK Release Date 2011-09-08 AU Release Date 2011-09-08 NZ Release Date 2011-09-08 Publication Date 2011-09-08 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:168641261;

Price: 178.97 AUD

Location: Melbourne

End Time: 2025-01-25T06:02:29.000Z

Shipping Cost: 13.5 AUD