Handbook of linear partial differential equations for engineers and scientists
Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering.
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton
CRC Press, Taylor & Francis Group
[2016]
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| Edition: | Second edition |
| Subjects: | |
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| Call Number : | QA 377 .P568 2016 |
Table of Contents:
- pt.I. Exact Soluitions
- First-Order Equations with Two Independent Variables
- First-Order Equations with Three or More Independent Variables
- Second-Order Parabolic Equations with One Space Variable
- Second-Order Parabolic Equations with Two Space Variables
- Second-Order Parabolic Equations with Three or More Space Variables
- Second-Order Hyperbolic Equations with One Space Variable
- Second-Order Hyperbolic Equations with Two Space Variables
- Second-Order Hyperbolic Equations with Three or More Space Variables
- Second-Order Elliptic Equations with Two Space Variables
- Second-Order Elliptic Equations with Three or More Space Variables
- Higher-Order Partial Differential Equations
- Systems of Linear Partial Differential Equations
- pt. II. Analytical Methods
- Methods for First-Order Linear PDEs
- Second-Order Linear PDEs: Classification, Problems, Particular Solutions
- Separation of Variables and Integral Transform Methods
- Cauchy Problem. Fundamental Solutions
- Boundary Value Problems. Green's Function
- Duhamel's Principles. Some Transformations
- Systems of Linear Coupled PDEs. Decomposition Methods
- Some Asymptotic Results and Formulas
- Elements of Theory of Generalized Functions
- Symbolic and Numerical Solutions with Maple, Mathematica, and MATLAB®
- Linear Partial Differential Equations with Maple pt.III. Symbolic and Numerical Solutions with Maple, Mathematica, and MATLAB®
- Linear Partial Differential Equations with Mathematica
- Linear Partial Differential Equations with MATLAB®
- pt.IV. Tables and Supplements
- Elementary Functions and Their Properties
- Finite Sums and Infinite Series
- Indefinite and Definite Integrals
- Integral Transforms
- Curvilinear Coordinates, Vectors, Operators, and Differential Relations
- Special Functions and Their Properties