
Preface  Preview Material  Table of Contents  Index  Supplementary Material 
Graduate Studies in Mathematics 2012; 367 pp; hardcover Volume: 141 ISBN10: 0821890832 ISBN13: 9780821890837 List Price: US$75 Member Price: US$60 Order Code: GSM/141 See also: Functional Analysis: An Introduction  Yuli Eidelman, Vitali Milman and Antonis Tsolomitis Principles of Functional Analysis: Second Edition  Martin Schechter An Epsilon of Room, I: Real Analysis: pages from year three of a mathematical blog  Terence Tao An Introduction to Measure Theory  Terence Tao  This book covers topics appropriate for a firstyear graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is selfcontained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises. Request an examination or desk copy. Readership Undergraduate and graduate students interested in analysis. 


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