Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
An Introduction to Measure Theory
 
Terence Tao University of California, Los Angeles, Los Angeles, CA
Front Cover for An Introduction to Measure Theory
Available Formats:
Softcover ISBN: 978-1-4704-6640-4
Product Code: GSM/126.S
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $48.00
Sale Price: $39.00
Electronic ISBN: 978-1-4704-1187-9
Product Code: GSM/126.E
List Price: $56.00
MAA Member Price: $50.40
AMS Member Price: $44.80
Sale Price: $36.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $90.00
MAA Member Price: $81.00
AMS Member Price: $72.00
Sale Price: $58.50
Front Cover for An Introduction to Measure Theory
Click above image for expanded view
  • Front Cover for An Introduction to Measure Theory
  • Back Cover for An Introduction to Measure Theory
An Introduction to Measure Theory
Terence Tao University of California, Los Angeles, Los Angeles, CA
Available Formats:
Softcover ISBN:  978-1-4704-6640-4
Product Code:  GSM/126.S
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $48.00
Sale Price: $39.00
Electronic ISBN:  978-1-4704-1187-9
Product Code:  GSM/126.E
List Price: $56.00
MAA Member Price: $50.40
AMS Member Price: $44.80
Sale Price: $36.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $90.00
MAA Member Price: $81.00
AMS Member Price: $72.00
Sale Price: $58.50
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 1262011; 206 pp
    MSC: Primary 28;

    This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis.

    There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text.

    As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.

    Readership

    Graduate students interested in analysis, in particular, measure theory.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Measure theory
    • Chapter 2. Related articles
  • Reviews
     
     
    • The entire book is not just an introduction to measure theory as the title says but a lively dialogue on mathematics with a focus on measure theory.

      Mahendra Nadkarni, Mathematical Reviews
  • Request Exam/Desk Copy
  • Request Review Copy
  • Get Permissions
Volume: 1262011; 206 pp
MSC: Primary 28;

This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis.

There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text.

As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.

Readership

Graduate students interested in analysis, in particular, measure theory.

  • Chapters
  • Chapter 1. Measure theory
  • Chapter 2. Related articles
  • The entire book is not just an introduction to measure theory as the title says but a lively dialogue on mathematics with a focus on measure theory.

    Mahendra Nadkarni, Mathematical Reviews
You may be interested in...
Please select which format for which you are requesting permissions.