||Number of Pages
||J. Tinsley Oden, Leszek F. Demkowicz
||APPLIED FUNCTIONAL ANALYSIS, 2ND EDITION
Author: J. Tinsley Oden, Leszek F. Demkowicz
Description: Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text prepares readers to learn the variational theory of partial differntial equations, distributions and sobolev spaces, and numerical analysis with an emphasis on finite element methods. While retaining the structure of its best-selling predecessor, his second edition includes revisions of many original examples, along with new examles that often reflect the authors’ own vast research experiences and perspectives. This edition also provides many more exercises. Each chapter begins with a extensive introduction and concludes with a summary and historical comments hat frequently refer to other sources.
Table of Content: 1. Preliminaries 2. Linear Algerba 3. Lebesgue Measure and Integration 4. Topological and Metric Spaces 5. Banach Spaces 6. Hilbert Spaces 7. References