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Title: Fourier Series and Boundary Value Problems by James Ward Brown, Ruel V. Churchill ISBN: 0-07-232570-4 Publisher: McGraw-Hill Science/Engineering/Math Pub. Date: 02 August, 2000 Format: Hardcover Volumes: 1 List Price(USD): $177.25 |
Average Customer Rating: 4.25 (4 reviews)
Rating: 5
Summary: Excellent
Comment: This book is quite thorough, but remains easy to follow (considering the material). It starts out with partial differential equations (no previous PDE experience needed) and shows where Fourier series comes from, which I found motivating since the purpose of Fourier Analysis was evident from the beginning. It then goes into making solutions of arbitrary functions out of sine and cosine functions as well as touching on other orthogonal sets.
The book's main focus is on starting with PDEs and ending with a solution of a Fourier series.
The first chapter was the hardest since the approaches to problems were much different than in calculus, but after adjusting to the material and the approaches to the problems, it gets easier!
Rating: 5
Summary: Great text for an intro to pde's course!
Comment: My first encounter with partial differential equations was out of this book. Since then, I've had another course on pde's, and used this book as a reference quite often. Fourier Series adn Boundary Value Problems is very much like Complex Variables and Applicatoins, also by Churchill and Brown. It's accessible to a large audience. Though it would help to have had an advanced calculus course, it isn't necessary to understand the mechanics of solving pde's (namely the variables seperable cases, which is mostly what's in this book). If you're an undergraduate math, engineering or physics student, you'll probably be using this book.
Rating: 2
Summary: Try Another Text
Comment: I found Dr. Brown, in conjunction with Dr. Churchill, to have written a very dry and non-useful text. It fails to provide the undergraduate student with the resources and background information that more highly touted books offer. There are a few examples that are somewhat helpful, but overall I found myself having to use reference texts to supplement this one. I am not a math major, but am continually searching for good math texts to help me grasp the fundamentals of more difficult topics. I did not find that help here. Too much 'math prose' and not enough to-the-point definitions and examples, which is the cry of every non-math major. Their treatment of the Laplacian is not even worth the bother of placing it in the book. The physical size of the book is small, (9 1/2 by 6") with 335 pages. Not nearly enough for the treatment of its titled subject.
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Title: Complex Variables and Applications by James Ward Brown, Ruel Vance Churchill ISBN: 0072872527 Publisher: McGraw-Hill Science/Engineering/Math Pub. Date: 26 February, 2003 List Price(USD): $133.50 |
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Title: Mathematical Methods for Physicists by George Arfken, Hans Weber ISBN: 0120598256 Publisher: Harcourt / Academic Press Pub. Date: October, 2000 List Price(USD): $99.95 |
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Title: Div, Grad, Curl, and All That: An Informal Text on Vector Calculus by Harry M. Schey ISBN: 0393969975 Publisher: W.W. Norton & Company Pub. Date: August, 1997 List Price(USD): $17.95 |
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Title: Numerical Analysis: Mathematics of Scientific Computing by David Kincaid, Ward Cheney, E. W. Cheney, E. Ward Cheney, David R. Kincaid ISBN: 0534389058 Publisher: Brooks Cole Pub. Date: 25 October, 2001 List Price(USD): $118.95 |
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Title: Topology (2nd Edition) by James Munkres ISBN: 0131816292 Publisher: Prentice Hall Pub. Date: 28 December, 1999 List Price(USD): $101.33 |
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