Functional Analysis Volume 1: A Gentle Introduction
by Dzung Minh Ha

ISBN-13: 978-0-9715766-1-2
640 pages, Hardcover, smythe-sewn binding
2006, $73 Add to cart

Review (CHOICE)

Choice: Current Reviews for Academic Libraries is published by the American Library Association. A reader survey ranked it "the best short critical evaluations of new titles available anywhere" .

The following review appeared in the March 2007 issue.

"This first volume in a projected three-volume set on functional analysis calls nothing more to mind than the massive first volume of the classic 1960s-era series by Nelson Dunford and Jacob T. Schwartz, Linear Operators (3 v., 1967-71). Where the latter was a terse, exhaustive encyclopedic compendium of all there was to know on the subject, however, the present volume sets out instead to offer a thorough, deliberately slow textbook presentation of all the standard topics any introductory functional analysis course might wish to cover, along with a multitude of instructive examples and, more importantly, counter­examples.

Numerous exercises appear after each section, and a long appendix (exceeding 100 pages) presents detailed solutions to a good half of them. Author Ha largely succeeds in his stated aim "to write a textbook that I would like to have studied from as a student."

Multiple appendixes (the rest including prerequisites from set theory and linear algebra), along with a nice bibliography, list of notations, and thorough index bring up the rear of this highly accessible, self-contained work. Summing Up: Highly recommended.

Upper-division undergraduates; graduate students." — F. E. J. Linton, emeritus, Wesleyan University

Reprinted with permission from Choice. Copyright by the American Library Association