An Introduction To Lebesgue Integration And Fourier Series

Book Details

• Author: Howard J. Wilcox

• Brand: Dover

• Edition: Dover Edition

• Binding: Paperback

• Number of Pages: 159

• Release Date: 04-01-1995

• ISBN: 9780486682938

• Languages: English

• Package Dimensions: 8.9 x 5.9 x 0.5 inches

About The Book

Lebesgue Integration and Fourier Series by Howard J. Wilcox is a clear, concise, and well-organized introduction to two important mathematical topics: Lebesgue integration and Fourier series. The book arises from a desire to present these concepts at an undergraduate level, providing material that is often not thoroughly covered in standard undergraduate texts.

The book begins with an introduction to the Riemann integral and proceeds with detailed discussions on measurable sets, measurable functions, and the Lebesgue integral. Key topics also include the convergence of the Lebesgue integral and pointwise convergence of Fourier series. Throughout, the text is designed to motivate students by justifying each concept and relating it to ideas they are already familiar with, particularly from advanced calculus.

The book is supplemented with numerous examples and exercises to test the reader’s understanding. This makes it an ideal resource for a one-semester course, especially for students in mathematics, engineering, and science who have a basic knowledge of advanced calculus concepts like compactness, continuity, and Riemann integration.