Basic Partial Differential Equations

by George Csordas David Bleecker

Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. You'll learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavors involving reasonably smooth, predictable changes of measurable quantities. Basis partial differential equations enable you not only to find solution of many PDEs, but also to interpret and use these solutions. If offers 600 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Over 280 examples are worked out in detail. Applications include heat conduction, wave propagation fluid flow, electrostatics, quantum mechanics, minimal surfaces, gravitation, and vibrations of strings, square drums, round drums and spheres. This book should be of interest to undergraduate and postgraduate students taking mathematics courses.

676 pages, Hardcover

First published May 1, 1992

Reviews

[Tom Schulte · Rating 4 out of 5]

... The tight integration of the material show the work and effort the authors put in to creating this PDEs text. I have always felt the first PDEs text for a student should challenge the student’s earlier calculus text in size. This is an excellent text for a student’s first deep dive into this important, fundamental topic. It has the breadth and heft covering basic and advanced topics in the subject. It is unusual in my experience to see a work of this scope assigned as a university text for PDEs, so I advise the wise to consider this as a supplement.

See my full review up at MathDL Reviews.