Paperback. This book is an introductory text that charts the recent developments in the area of Whitney-type extension problems and the mathematical aspects of interpolation of data. It provides a detailed tour of a new and active area of mathematical research. In each section, the authors focus on a different key insight in the theory. The book motivates the more technical aspects of the theory through a set of illustrative examples. The results include the solution of Whitneys problem, an efficient algorithm for a finite version, and analogues for Hoelder and Sobolev spaces in place of C m .The target audience consists of graduate students and junior faculty in mathematics and computer science who are familiar with point set topology, as well as measure and integration theory. The book is based on lectures presented at the CBMS regional workshop held at the University of Texas at Austin in the summer of 2019. An introductory text that charts the recent developments in the area of Whitney-type extension problems and the mathematical aspects of interpolation of data. The book provides a detailed tour of a new and active area of mathematical research. In each section, the authors focus on a different key insight in the theory. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Bibliographic Details

Title: Fitting Smooth Functions to Data (Paperback)
Publisher: American Mathematical Society, Providence
Publication Date: 2021
Language: English
ISBN 10: 1470461307
ISBN 13: 9781470461300
Binding: Paperback
Condition: new

About this title

Synopsis

This book is an introductory text that charts the recent developments in the area of Whitney-type extension problems and the mathematical aspects of interpolation of data. It provides a detailed tour of a new and active area of mathematical research. In each section, the authors focus on a different key insight in the theory. The book motivates the more technical aspects of the theory through a set of illustrative examples. The results include the solution of Whitney's problem, an efficient algorithm for a finite version, and analogues for H�lder and Sobolev spaces in place of Cm. The target audience consists of graduate students and junior faculty in mathematics and computer science who are familiar with point set topology, as well as measure and integration theory. The book is based on lectures presented at the CBMS regional workshop held at the University of Texas at Austin in the summer of 2019.

About the Author

Charles Fefferman: Princeton University, Princeton, NJ, Arie Israel: University of Texas at Austin, Austin, TX

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