Multivariate Approximation (Cambridge Monographs on Applied and Computational Mathematics)

V. Temlyakov

ISBN 10: 1108428754 / ISBN 13: 9781108428750

Published by Cambridge University Press, 2018

About this Item

Firm and square with strong joints, just showing a few very minor rubs and bumps. Hence a non-text page is stamped 'damaged'. Despite such this book is actually in nearly new condition. Thus it looks and feels unread with contents that are crisp, fresh and tight. Size: 250mm x 180mm. Pages: xvi, 534. Fully indexed. This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics.

Seller Inventory # 107042

Bibliographic Details

• Title: Multivariate Approximation (Cambridge Monographs on Applied and Computational Mathematics)
• Publisher: Cambridge University Press
• Publication Date: 2018
• Language: English
• ISBN 10: 1108428754
• ISBN 13: 9781108428750
• Binding: Hardcover
• Edition: First Edition.
• Condition: Like New
• Seller catalogs:
  • Science, Mathematics & Technology

About this title

Synopsis

This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area.

About the Author

V. Temlyakov is Carolina Distinguished Professor in the Department of Mathematics at the University of South Carolina. He has written several books on approximation theory, and has received numerous honours and awards. His research interests include greedy approximation, compressed sensing, learning theory and numerical integration.