Graduate-level exposition by noted Russian mathematician offers rigorous, transparent, highly readable coverage of classification of equations, hyperbolic equations, elliptic equations and parabolic equations. Wealth of commentary and insight invaluable for deepening understanding of problems considered in text. Translated from the Russian by A. Shenitzer.
Introduction to Partial Differential Equations with Applications by E. C. Zachmanoglou, Dale W. Thoe This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
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.
Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures by V. G. Shervatov, B. I. Argunov, L. A. Skornyakov, V. G. Boltyanskii This single-volume compilation consists of Hyperbolic Functions, introducing the hyperbolic sine, cosine, and tangent; Configuration Theorems, concerning collinear points and concurrent lines; and Equivalent and Equidecomposable Figures, regarding polyhedrons. 1963 edition.
Lectures on Cauchy's Problem in Linear Partial Differential Equations by Jacques Hadamard Basing his research on prior studies by Riemann, Kirchhoff, and Volterra, the author extends and improves Volterra's work, applying its theories relating to spherical and cylindrical waves to all normal hyperbolic equations. 1923 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.
