A Course in Abstract Analysis

A Course in Abstract Analysis

by John B. Conway
ISBN-10:
0821890832
ISBN-13:
9780821890837
Pub. Date:
10/26/2012
Publisher:
American Mathematical Society

Hardcover - Rent for

Select a Purchase Option (New Edition)
  • purchase options
    $60.00 $75.00 Save 20% Current price is $60, Original price is $75. You Save 20%.
  • purchase options

Overview

A Course in Abstract Analysis

This book covers topics appropriate for a first-year 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 self-contained 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.

Product Details

ISBN-13: 9780821890837
Publisher: American Mathematical Society
Publication date: 10/26/2012
Series: Graduate Studies in Mathematics Series , #141
Edition description: New Edition
Pages: 380
Product dimensions: 7.20(w) x 10.20(h) x 1.00(d)

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews