This introductory text explores the essentials of partial differential equations applied to common problems in engineering and the physical sciences. It reviews calculus and ordinary differential equations, explores integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory and more. Includes problems and answers.
|"Thoe & Zachmanoglou have written an easy-to-follow introductory book on PDEs with heavy emphasis on physical interpretations. The book begins with a brief study of quasi-linear PDEs and their geometrical properties followed by a series of chapters concentrating on elliptic, hyperbolic, and parabolic linear PDEs. The discussion of each type of PDE includes well-posedness, uniqueness, and basic solution methods. Proofs are generally simplified to keep the reader focused on the PDEs.
I recommend this book for those wishing to gain a more complete knowledge of PDEs without technical proofs. For those wanting a more rigorous discussion, Thoe & Zachmanoglou provides an excellent starting point."
"From just basic usage of the book, and with almost no introduction to PDEs, I found the book to be very helpful. This book starts out the way any PDE book should, a review of ODEs and then a careful, systematic approach to PDEs with very helpful illustrations. After the PDE is introduced, many different examples of PDE application are shown (such as the heat equation, Laplace's equation, and the wave equation), and with very careful demonstration of the use of the PDEs. I would have to say that any math or physics (especially in mechanics) person would benefit greatly to have either read or own this book."