Measure and Integration by Sterling Berberian

Thread starter jmjlt88
Start date Jan 23, 2013
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In summary, "Measure and Integration" is a mathematical concept that provides a rigorous framework for defining and analyzing the size or quantity of sets, and extends the concept of integration to more general spaces and functions. Sterling Berberian, an American mathematician, made significant contributions to this theory through his book, "Measure and Integration". The main concepts and techniques used in "Measure and Integration" include measure spaces, measurable sets and functions, integration, convergence theorems, and product measures. This concept has applications in various areas of mathematics, such as probability theory, functional analysis, differential geometry, and harmonic analysis, as well as in other fields like physics and economics. While "Measure and Integration" may be challenging to understand, with dedication and

Jan 23, 2013

jmjlt88

Can anyone share a review of this book with me? I am thinking about purchasing it, and I would like some feedback. Please note that it will be used for a self-study. Thank you.

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Jan 23, 2013

micromass

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Let's continue discussion in this thread: https://www.physicsforums.com/showthread.php?p=4240541

Related to Measure and Integration by Sterling Berberian

1. What is the purpose of "Measure and Integration" in mathematics?

The purpose of "Measure and Integration" is to provide a rigorous framework for defining and analyzing the size or quantity of sets, as well as to extend the concept of integration to more general spaces and functions.

2. Who is Sterling Berberian and what is his contribution to "Measure and Integration"?

Sterling Berberian was an American mathematician who made significant contributions to the theory of measure and integration. He is best known for his book, "Measure and Integration", which presents a comprehensive and rigorous treatment of the subject.

3. What are the main concepts and techniques used in "Measure and Integration"?

The main concepts and techniques used in "Measure and Integration" include measure spaces, measurable sets and functions, integration, convergence theorems, and product measures.

4. How is "Measure and Integration" applied in other areas of mathematics?

"Measure and Integration" has applications in many areas of mathematics, including probability theory, functional analysis, differential geometry, and harmonic analysis. It also has important applications in physics, economics, and other fields.

5. Is "Measure and Integration" a difficult topic to understand?

While "Measure and Integration" can be a challenging topic, it is an important and fundamental concept in mathematics. With dedication and practice, it can be understood and applied effectively in various areas of mathematics and other fields.