Handbook of Linear Partial Differential Equations for Engineers and Scientists （3RD）

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Handbook of Linear Partial Differential Equations for Engineers and Scientists （3RD）

Polyanin, Andrei D./ Nazaikinskii, Vladimir E.

ウェブストア価格 ¥71,843（本体¥65,312）
Chapman & Hall/CRC（2026/07発売）
外貨定価 US$ 325.00
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製本 Hardcover:ハードカバー版／ページ数 1324 p.
言語 ENG
商品コード 9781032780016

Full Description

Characteristic Features

• Includes nearly 4,000 linear partial differential equations (PDEs) with solutions

• Presents solutions to numerous problems relevant to heat and mass transfer, wave theory, hydrodynamics, aerodynamics, elasticity, acoustics, electrodynamics, diffraction theory, quantum mechanics, chemical engineering sciences, electrical engineering, and other fields

• Outlines basic analytical methods for solving various problems in science and engineering

• Contains many more linear PDEs, problems, solutions, and transformations than any other book currently available

• Provides a database of test problems for numerical and approximate analytical methods for solving linear PDEs and systems of coupled PDEs.

New to the Third Edition

• Chapter on linear ODEs and PDEs with delays

• Chapter on linear ODEs and PDEs with fractional derivatives

• Some individual PDEs, solutions, transformations, formulas, and problems

• Two sections on special functions used to solve linear ODEs and PDEs with delay or fractional derivatives.

To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, and they outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity.

Part 1: Exact Solutions 1. Second-Order Parabolic Equations with One Space Variable 2. Second-Order Parabolic Equations with Two Space Variables 3. Second-Order Parabolic Equations with Three or More Space Variables 4. Second-Order Hyperbolic Equations with One Space Variable 5. Second-Order Hyperbolic Equations with Two Space Variable 6. Second-Order Hyperbolic Equations with Three or More Space Variables 7. Second-Order Elliptic Equations with Two Space Variables 8. Second-Order Elliptic Equations with Three or More Space Variables 9. Higher-Order Partial Differential Equations 10. Systems of Linear Partial Differential Equations Part 2: Analytical Methods 11. Methods for First-Order Linear PDEs 12. Second-Order Linear PDEs: Classification, Problems, Particular Solutions 13. Separation of Variables and Integral Transform Methods 14. Cauchy Problem: Fundamental Solutions 15. Boundary Value Problems: Green's Function 16. Duhamel's Principles: Some Transformations 17. Systems of Linear Coupled PDEs: Decomposition Methods 18. Some Asymptotic Results and Formulas 19. Linear Partial Differential Equations with Delay 20. Linear Fractional Partial Differential Equations 21. Elements of Theory of Generalized Functions Part 3: Tables and Supplements 22. Indefinite and Definite Integrals 23. Integral Transforms 24. Curvilinear Coordinates, Vectors, Operators, and Differential Relations 25. Some Special Functions and Their Properties