Functional Analysis
Subtitle: A Gentle Introduction
By: Dzung Minh Ha.
Edition: Vol 1 - 1st Edition
Publisher: Matrix Editions
Published: 2006
Place of publication: Ithaca, NY
Language: eng
Format: Hardcover
Number of pages: 650
ISBN-13: 9780971576612
Copyright date: ©2006
Subjects: Functional analysis
Description: Student-friendly but rigorous book aimed primarily at third or fourth year undergraduates. The pace is slow but thorough, with an abundance of motivations, examples, and counterexamples. Arguments used within proofs are explicitly cited, with references to where they were first proved. Many examples have solutions that make use of several results or concepts, so that students can see how various techniques can blend together into one.
Notes: Includes bibliographical references and index.
Includes solutions to all odd-numbered exercises
Table of contents: title: v. 1. A gentle introduction; title: Chapter 0 - Three important inequalities; title: Chapter 1 - Metric and topological spaces; title: Chapter 2 - Normed spaces; title: Chapter 3 - Operators on Normed spaces; title: Chapter 4 - Inner product spaces; title: Chapter 5 - The Banach space C(X); title: Chapter 6: Additional topics; title: Appendix A - Set theory and functions; title: Appendix B - Mostly linear algebra (a brief review); title: Appendix C - Some technical results; title: Appendix D - Solutions to odd-numbered exercises; title: Bibliography; title: Notation; title: Index