Partial Differential Equations of Mathematical Physics and Integral Equations (Dover Books on Mathematics) [Paperback]

Ronald B. Guenther (Author), John W. Lee (Author), Mathematics (Author)

Book Description

ISBN-10: 0486688895 | ISBN-13: 978-0486688893 | Publication Date: February 9, 1996

Written for students of mathematics and the physical sciences, this superb treatment offers modern mathematical techniques for setting up and analyzing problems. Topics include elementary modeling, partial differential equations of the 1st order, potential theory, parabolic equations, much more. Prerequisites are a course in advanced calculus and basic knowledge of matrix methods.

Product Details

• Paperback: 576 pages
• Publisher: Dover Publications (February 9, 1996)
• Language: English
• ISBN-10: 0486688895
• ISBN-13: 978-0486688893
• Product Dimensions: 9.2 x 6.5 x 1.1 inches
• Shipping Weight: 1.6 pounds (View shipping rates and policies)
• Average Customer Review: 3.2 out of 5 stars  See all reviews (4 customer reviews)
• Amazon Best Sellers Rank: #132,889 in Books (See Top 100 in Books)
  • #72 in Books > Professional & Technical > Professional Science > Physics > Mathematical Physics

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Customer Reviews

Most Helpful Customer Reviews

7 of 7 people found the following review helpful:

5.0 out of 5 stars a classic text in applied mathematics, September 1, 2007

By 

roan (oregon) - See all my reviews

This review is from: Partial Differential Equations of Mathematical Physics and Integral Equations (Dover Books on Mathematics) (Paperback)

This is one of the finest textbooks on applied mathematics. It is appropriate for a wide range of levels and disciplines. A moderately paced graduate class can finish most of the chapters in a full year. The first two chapters cover material that is difficult to find elsewhere and nowhere is it better handled. The real boon to this book is the constant integration of physical reasoning with solid mathematical theory. To be sure, many of the more complicated ideas are only mentioned, but the later chapters pick these up and go much further. It covers basic heat and wave applications, but also Brownian motion and gas dynamics. A solid calculus background is needed, which includes vector calculus and convergence issues. Eigenvalues and some functional analysis are needed. Many books on elementary partial differential equations spend all their time on the big three: heat, wave and Laplace. This is too low a level for any graduate class and doesn't create the excitement other applications provide. On the other hand, this book is accessible to many people. Often, graduate texts are thoroughly awash with Sobolev spaces and weak convergence and the physical problem, i.e., the actual model, is all but ignored. This classic text is the bridge between elementary and advanced applied mathematics. In some respects, it is self-contained. Guenther and Lee have written an indispensable book.

2 of 14 people found the following review helpful:

2.0 out of 5 stars I agree with the reader from CAL, March 26, 2003

By 

John Williams "Will" (Manchester, England) - See all my reviews

This review is from: Partial Differential Equations of Mathematical Physics and Integral Equations (Dover Books on Mathematics) (Paperback)

The book skip too many steps and most of the time, the equation is presented without explanation...Don't waste money.

9 of 35 people found the following review helpful:

1.0 out of 5 stars Book that dosn't make sense, September 7, 1999

By A Customer

This review is from: Partial Differential Equations of Mathematical Physics and Integral Equations (Dover Books on Mathematics) (Paperback)

This book is one of the worse I ever see representing the mathematics for physics, the mathematics and the physics both was not explained as it should, the authors are not familiar at all with the concept of physics make their material in the book related to this subject unclear and vague. The book has too many gaps as I see it has too many jumps when a physical phenomena represented using mathematics. Physical concept was most of the times not even mention, and I believe that the author should stick only with mathematics since they try to explain physics they don't really familiar with.