This book provides a student's first encounter with the concepts of measure theory and functional analysis. Its structure and content reflect the belief that difficult concepts should be introduced in their simplest and most concrete forms. Despite the use of the word 'terse' in the title, this text might also have been called ""A (Gentle) Introduction to Lebesgue Integration"". It is terse in the sense that it treats only a subset of those concepts typically found in a substantial graduate-level analysis course. The book ...
Read More
This book provides a student's first encounter with the concepts of measure theory and functional analysis. Its structure and content reflect the belief that difficult concepts should be introduced in their simplest and most concrete forms. Despite the use of the word 'terse' in the title, this text might also have been called ""A (Gentle) Introduction to Lebesgue Integration"". It is terse in the sense that it treats only a subset of those concepts typically found in a substantial graduate-level analysis course. The book emphasizes the motivation of these concepts and attempts to treat them simply and concretely. In particular, little mention is made of general measures other than Lebesgue until the final chapter and attention is limited to R as opposed to Rn. After establishing the primary ideas and results, the text moves on to some applications. Chapter 6 discusses classical real and complex Fourier series for L2 functions on the interval and shows that the Fourier series of an L2 function converges in L2 to that function. Chapter 7 introduces some concepts from measurable dynamics. The Birkhoff ergodic theorem is stated without proof and results on Fourier series from chapter 6 are used to prove that an irrational rotation of the circle is ergodic and that the squaring map on the complex numbers of modulus 1 is ergodic. This book is suitable for an advanced undergraduate course or for the start of a graduate course. The text presupposes that the student has had a standard undergraduate course in real analysis.
Read Less
Add this copy of A (Terse) Introduction to Lebesgue Integration (Student to cart. $65.68, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2009 by American Mathematical Society.
Add this copy of A (Terse) Introduction to Lebesgue Integration to cart. $70.19, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2009 by American Mathematical Society(RI).
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Fine. Glued binding. 202 p. Contains: Illustrations. Student Mathematical Library. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of A (Terse) Introduction to Lebesgue Integration (Student to cart. $86.79, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2009 by American Mathematical Society.
Add this copy of A (Terse) Introduction to Lebesgue Integration to cart. $89.36, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 2009 by American Mathematical Society.
Add this copy of A (Terse) Introduction to Lebesgue Integration to cart. $91.57, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2009 by American Mathematical Society(RI).
