A First Course in Functional Analysis (Dover Books on Mathematics)

Book Details

• Author: Martin Davis

• Brand: Dover

• Edition: Reprint

• Binding: Paperback

• Format: Illustrated

• Number of Pages: 128

• Release Date: 28-06-2013

• ISBN: 9780486499833

• Languages: English

• Package Dimensions: 8.3 x 5.3 x 0.4 inches

About The Book

This introduction to functional analysis is based on the lecture notes of Martin Davis, a distinguished professor of mathematics. Functional Analysis is a comprehensive yet accessible guide designed for advanced undergraduates and graduate students in mathematics. The book demonstrates the essential unity of mathematics, providing readers with a self-contained exploration of Gelfand's proof of Wiener's theorem.

The volume covers key topics in functional analysis, including set-theoretic preliminaries, normed linear spaces, algebras, and functions on Banach spaces. Additionally, it delves into homomorphisms on normed linear spaces and analytic functions into a Banach space. Throughout the book, numerous problems are provided to reinforce the material, making it an excellent resource for students looking to deepen their understanding of the field.

This illustrated reprint edition offers clear explanations and insights into complex concepts, making it an indispensable tool for anyone studying functional analysis or seeking a greater understanding of its applications in mathematical theory.