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Handbook of first order partial differential equations /

by Poli︠a︡nin, A. D. (Andreĭ Dmitrievich) [aut]; Zaĭt︠s︡ev, V. F. (Vadim Fedorovich) [aut]; Moussiaux, Alain [aut].
Material type: materialTypeLabelBookSeries: Differential and integral equations and their applications: 1Publisher: London ; New York : Taylor & Francis, 2002Description: xiv, 500 p. : ill. ; 26 cm.ISBN: 041527267X.Subject(s): Differential equations, Partial -- Numerical solutions | Handbooks and manualsOnline resources: Publisher description
Contents:
pt. I. Linear Equations With Two Independent Variables -- 1. Equations Containing One Derivative -- 2. Linear Equations of the Form [actual symbol not reproducible] -- 3. Linear Equations of the Form [actual symbol not reproducible] -- 4. Linear Equations of the Form [actual symbol not reproducible] -- 5. Linear Equations of the Form [actual symbol not reproducible] -- pt. II. Linear Equations With Three or More Independent Variables -- 6. Linear Equations of the Form [actual symbol not reproducible] -- 7. Linear Equations of the Form [actual symbol not reproducible] -- 8. Linear Equations of the Form [actual symbol not reproducible] -- 9. Linear Equations of the Form [actual symbol not reproducible] -- 10. Linear Equations With Four or More Independent Variables -- pt. III. Nonlinear Equations -- 11. Quasilinear Equations of the Form [actual symbol not reproducible] -- 12. Quasilinear Equations of the Form [actual symbol not reproducible] -- 13. Equations With Two Independent Variables Quadratic in Derivatives -- 14. Nonlinear Equations With Two Independent Variables of General Form -- 15. Nonlinear Equations With Three or More Independent Variables -- Supplement, Solution of Differential Equations Through the CONVODE Software.
Summary: This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. At the beginning of each section, basic solution methods for the corresponding types of differential equations are outlined and specific examples are considered. It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences.
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515.353 P781 (Browse shelf) Available

Includes bibliographical references (p. [493]-496) and index.

pt. I. Linear Equations With Two Independent Variables -- 1. Equations Containing One Derivative -- 2. Linear Equations of the Form [actual symbol not reproducible] -- 3. Linear Equations of the Form [actual symbol not reproducible] -- 4. Linear Equations of the Form [actual symbol not reproducible] -- 5. Linear Equations of the Form [actual symbol not reproducible] -- pt. II. Linear Equations With Three or More Independent Variables -- 6. Linear Equations of the Form [actual symbol not reproducible] -- 7. Linear Equations of the Form [actual symbol not reproducible] -- 8. Linear Equations of the Form [actual symbol not reproducible] -- 9. Linear Equations of the Form [actual symbol not reproducible] -- 10. Linear Equations With Four or More Independent Variables -- pt. III. Nonlinear Equations -- 11. Quasilinear Equations of the Form [actual symbol not reproducible] -- 12. Quasilinear Equations of the Form [actual symbol not reproducible] -- 13. Equations With Two Independent Variables Quadratic in Derivatives -- 14. Nonlinear Equations With Two Independent Variables of General Form -- 15. Nonlinear Equations With Three or More Independent Variables -- Supplement, Solution of Differential Equations Through the CONVODE Software.

This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. At the beginning of each section, basic solution methods for the corresponding types of differential equations are outlined and specific examples are considered. It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences.