Measure Theory

Spring 2022

Measure Theory and Integration

Listed in: Mathematics and Statistics, as MATH-450

Formerly listed as: MATH-42

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Faculty

Robert L. Benedetto (Section 01)

Description

An introduction to Lebesgue measure and integration; topology of the real numbers; inner and outer measures and measurable set; the approximation of continuous and measurable functions; the Lebesgue integral and associated convergence theorems; the Fundamental Theorem of Calculus. Four class hours per week.

Requisite: MATH 355.  Professor R. Benedetto.

Expectations

Students who enroll in this course will likely encounter and be expected to engage in the following intellectual skills, modes of learning, and assessment: Problem sets, In-class quizzes or exams, Take-home exams. Students with documented disabilities who will require accommodations in this course should be in consultation with Accessibility Services and reach out to the faculty member as soon as possible to ensure that accommodations can be made in a timely manner.

Textbooks

Below are the textbooks used in this course, along with pricing information and availability at local bookstores. The price range shown is based upon queries to multiple online booksellers; click on the the price field to see detailed pricing information.

This is preliminary information about books for this course. Please contact your instructor or the Academic Coordinator for the department, before attempting to purchase these books.

ISBN	Title	Publisher	Author(s)	Comment	Book Store	Price
9781498702898	Measure and Integral: An Introduction to Real Analysis, Second Edition (Chapman & Hall/CRC Pure and Applied Mathematics)	Chapman and Hall/CRC	Wheeden, Richard L.	E-book available	Amherst Books	From $106.09-$168.72

These books are available locally at Amherst Books.

Offerings

2022-23: Not offered
Other years: Offered in Spring 2010, Spring 2018, Spring 2020, Spring 2022