A User-Friendly Introduction to Lebesgue Measure and Integration - Student Mathematical Library (Paperback)
  • A User-Friendly Introduction to Lebesgue Measure and Integration - Student Mathematical Library (Paperback)
zoom

A User-Friendly Introduction to Lebesgue Measure and Integration - Student Mathematical Library (Paperback)

(author)
£52.95
Paperback 221 Pages / Published: 30/12/2015
  • Publisher out of stock

Currently unavailable to order

This product is currently unavailable.

  • This item has been added to your basket
A User-Friendly Introduction to Lebesgue Measure and Integration provides a bridge between an undergraduate course in Real Analysis and a first graduate-level course in Measure Theory and Integration. The main goal of this book is to prepare students for what they may encounter in graduate school, but will be useful for many beginning graduate students as well. The book starts with the fundamentals of measure theory that are gently approached through the very concrete example of Lebesgue measure. With this approach, Lebesgue integration becomes a natural extension of Riemann integration.

Next, $L^p$-spaces are defined. Then the book turns to a discussion of limits, the basic idea covered in a first analysis course. The book also discusses in detail such questions as: When does a sequence of Lebesgue integrable functions converge to a Lebesgue integrable function? What does that say about the sequence of integrals? Another core idea from a first analysis course is completeness. Are these $L^p$-spaces complete? What exactly does that mean in this setting?

This book concludes with a brief overview of General Measures. An appendix contains suggested projects suitable for end-of-course papers or presentations.

The book is written in a very reader-friendly manner, which makes it appropriate for students of varying degrees of preparation, and the only prerequisite is an undergraduate course in Real Analysis.

Publisher: American Mathematical Society
ISBN: 9781470421991
Number of pages: 221
Dimensions: 216 x 140 mm

You may also be interested in...

Schaums Outline of Tensor Calculus
Added to basket
The Cartoon Guide to Calculus
Added to basket
Schaum's Outline of Calculus
Added to basket
Modern Graph Theory
Added to basket
The Mysteries of the Real Prime
Added to basket
Maths for Chemistry
Added to basket
£31.99
Paperback
Stochastic Calculus for Finance I
Added to basket
Measurements and their Uncertainties
Added to basket
A Brief Guide to the Great Equations
Added to basket
A Problem Book in Real Analysis
Added to basket
Calculus: Concepts and Methods
Added to basket
Calculus for the Ambitious
Added to basket

Please sign in to write a review

Your review has been submitted successfully.