John B. Conway
This book is intended as a textbook for a one term course on functional analysis for graduate students. Unlike most modern treatments, this book starts from the particular and works its way up to the more general, thus promoting greater intuition in the reader. Appeal to the intuition of the student is aided by a wide variety of examples and exercises. In this new second edition, the chapter on Fredholm Theory has been completely rewritten and simplified. Additionally, numerous new exercises, comments and bibliographical notes have been included throughout the text.
This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis...Many interesting and important applications are included...It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS