Fourier Series and Orthogonal Functions

by Harry F. Davis

Book Overview

This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. Directed to advanced undergraduate and graduate students in mathematics as well as in physics and engineering, the book requires no prior knowledge of partial differential equations or advanced vector analysis. Students familiar with...

• Format: Paperback
• Language: English
• ISBN: 0486659739
• ISBN13: 9780486659732
• Release Date: May 1989
• Publisher: Dover Publications
• Length: 432 Pages
• Weight: 1.02 lbs.
• Dimensions: 0.8" x 5.4" x 8.5"

Customer Reviews

Decent

Decent text, when combined with other sources. The text wasn't basic-enough to comprehend on first read, but after reading through other texts I understand what the author was conveying. I'll keep it as a reference.

Rigor and intuition -- a classic

I learned Fourier analysis on my own, and mostly from this book. Its intuitive content is excellent, but it is a rigorous math text, approaching the subject form an algrbraic viewpoint. He treats convergence issies in detail and in a well-motivated fashion. "Read Who is Fourier" for an intro, and read this for the math behind the intuition.

FOURIER SERIES, THE SOLUTION TO ALL ENGRG PROBLEMS.

During the course of my studying the book, i discovered that the book goes indepth in making the concept of fourier series analysis simplified. As an engineer i make use of fourier series applications often both in my research work and in the teaching of my students to a great extent i have found this book extremely useful in that it aids the level of understanding. I have also realised that even to a novice that picks up this book will find it very interesting to a large extent.As it is known that fourier series is very usefu in engineering study , especially in the area of solving heat condition problems and for specific applications in engineering design. The book has taken a more comprehensive form which makes reading very easy . I prefer this book because it follows a progressive sequence of explanation.The introduction of fourier integral into the fourier series solution has brought to a great extent the use of partial differential equations in eral life engineering problems . The book has also made the engineering concepts defined practicable, by demonstration of a straight forward attempt aimed at pionting out the extent to which engineerig is usefuk in our everyday lives. This book should be recomended in schools as the true book avalaible in the understanding of the concept of fourier series. Orthogonal function study has also been made in such a way that a first time reader will find it easy in terms of the concept and context.