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

Book Details:

• Author: Ronald B. Guenther

• Publisher: Dover

• Edition: New

• Binding: Paperback

• Release Date: 09-02-1996

• ISBN: 0800759688890

• Language: English

• Pages: 592

• Cover: Paperback

• Dimensions: 9.0 x 6.5 x 1.2 inches

About The Book:

Applied Partial Differential Equations by Ronald B. Guenther is an essential resource designed to help students of mathematics, physics, and engineering learn modern mathematical techniques for solving practical problems. The book offers rigorous mathematics without overwhelming the reader, emphasizing the iterative process between theoretical modeling, physical experiments, and refinement of physical models.

Beginning with foundational discussions on physical problems and equations, Chapter 1 introduces the key applications in various fields. The subsequent chapters focus on the theory of partial differential equations (PDEs), including detailed examinations of uniqueness, existence, and continuous dependence. Chapters 2 through 6 tackle problems in one spatial dimension, while Chapter 7 introduces the theory of integral equations. Chapters 8 to 12 extend the study to problems in more spatial variables.

The book features elementary methods such as separation of variables and integral transforms to derive explicit, analytical solutions. It also includes a new section with solutions and hints for selected problems, and suggestions for further reading.

This comprehensive guide is ideal for students with a background in advanced calculus or a related science or engineering course. It provides an excellent foundation for mathematical problem-solving techniques with broad applications across various disciplines.