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Fourier Analysis and Boundary Value Problems

Fourier Analysis and Boundary Value Problems

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Author: Enrique A. Gonzalez-velasco
Publisher: Academic Press
Category: Book

List Price: $112.00
Buy New: $44.99
You Save: $67.01 (60%)



New (18) Used (13) from $39.00

Rating: 4.5 out of 5 stars 5 reviews
Sales Rank: 2003206

Media: Hardcover
Edition: 1st
Pages: 551
Number Of Items: 1
Shipping Weight (lbs): 2.2
Dimensions (in): 9.4 x 6.3 x 1.2

ISBN: 0122896408
Dewey Decimal Number: 515.353
EAN: 9780122896408

Publication Date: January 15, 1995
Availability: Usually ships in 1-2 business days

Similar Items:

  • Introduction to Fourier Analysis and Wavelets (Brooks/Cole Series in Advanced Mathematics)

Editorial Reviews:

Product Description
Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics.
A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field.

Key Features
* Topics are covered from a historical perspective with biographical information on key contributors to the field
* The text contains more than 500 exercises
* Includes practical applications of the equations to problems in both engineering and physics



Customer Reviews:

5 out of 5 stars One of "THE" Books on Fourier and Boundary Value Problems   July 5, 2001
5 out of 5 found this review helpful

This book is very complete and comprehensive. It is meant for the advanced undergraduate (and even graduate) student. The book states it assumes you know the 1st year of calculus and how to solve some ordinary differential equations. It would help if you took one more upper division math class, as to be familiar with the proofs.

In a nutshell, this book is great! I used it to study for my PhD Quals in physics. It has a nice portion on Green's functions. The book is 'mathematical' but the backdrop on the topics are based on physical problems. The historical notes are great, and act as a complement to the physical problems (I'm not a big fan of history in textbooks, but this book does a nice job of integrating it).

Lots of problems are given, though no solutions are given for any of them. It would be a nice compliment to at least show the start, a tid bit in the middle, and then the solution. The solution at the very least. There are other books that do provide solutions to the types of problems listed here, but it would be nice just to carry around this one when learning boundary value problems.

A must for anyone that works on any problems that have ODEs, PDEs, Fourier and Laplace transforms, Boundary Value Problems and Green's Functions. You won't be disappointed!


5 out of 5 stars Fourier Analysis and Boundary Value Problems   July 31, 2002
2 out of 2 found this review helpful

This is an excellent introduction to Fourier series and its
applications to boundary value problems. It has a very good combination of history, theory,and exercises. In particular,
the book is an ideal text for math students who are taking
their first PDE course and do not have enough backgound in physics. The only problem with this book is its high price.



5 out of 5 stars A comprehensive book on Fourier Analysis, PDE and BVP   February 1, 2001
Anthony C (Toronto, Ontario Canada)
1 out of 1 found this review helpful

This is one of the best book from which to learn the subject, as it covers all the topics with great clarity and includes historical developement which makes for great reading. The coverage is mathematical rigorous but yet well-written enough that an advance undergrad. would have no problem in learning the material for the 1st time from this book. The only drawback to this book is that there is no answer for any exercise (no solution manual available either). Learn the mathematics here and use other books for exercise.


5 out of 5 stars The best book on PDEs   February 24, 2003
Venugopal Gudimetla (Lafayette, Indiana)
I was confused with so many books on PDEs and found this book God sent.If you ask me buy this book if you are looking for a serious book on PDEs with lucid explanations and problem solving techniques this is the book. Though the answers for the problems aren't given, you will love doing problems, I studied this book for my PhD quals.Enjoy it, savor it.


2 out of 5 stars Having a professor who writes his own text not always good.   May 24, 2005
R. D. Gallo
1 out of 1 found this review helpful

I had Professor Gonzalez for my applied math class and we used this book. while is a unique take, including history and background, the subject matter remained unclear at times. It is hard to grasp as a sophmore in college and it goes to fast in a classroom setting. While I agree that other professor's should use this book as a reference tool, I have experienced it first-hand in the classroom and it caused more confusion than anything else.

 
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