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.
Here's a sample of other books in this Dover category
Introduction to Partial Differential Equations and Hilbert Space Methods by Karl E. Gustafson Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Lectures on Partial Differential Equations by I. G. Petrovsky Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer. 1954 edition.
Partial Differential Equations for Scientists and Engineers by Stanley J. Farlow Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.
Partial Differential Equations of Mathematical Physics and Integral Equations by Ronald B. Guenther, John W. Lee Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more.
Numerical Solution of Partial Differential Equations by the Finite Element Method by Claes Johnson This accessible introduction offers the keys to an important technique in computational mathematics. It outlines clear connections with applications and considers numerous examples from a variety of specialties. 1987 edition.
Partial Differential Equations by Avner Friedman Largely self-contained, this three-part treatment focuses on elliptic and evolution equations, concluding with a series of independent topics directly related to the methods and results of the preceding sections. 1969 edition.
Mathematics for the Physical Sciences by Laurent Schwartz Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.
Basic Linear Partial Differential Equations by Francois Treves Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Nearly 400 exercises. 1975 edition.
Elements of Partial Differential Equations by Ian N. Sneddon This text features numerous worked examples in its presentation of elements from the theory of partial differential equations, emphasizing forms suitable for solving equations. Solutions to odd-numbered problems appear at the end. 1957 edition.
Plane Waves and Spherical Means Applied to Partial Differential Equations by Fritz John This collection of results on partial differential equations employs certain elementary identities for plane and spherical integrals of an arbitrary function, showing how a variety of results follow from those identities. 1955 edition.
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis by Thomas J. R. Hughes Text for students without in-depth mathematical training, this text includes a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories. Solution guide available upon request.
