Beginning Partial Differential Equations 3/e
售價
$
1,950
- 一般書籍
- ISBN：9781118629949
- 作者：Peter V. O'Neil
- 版次：3
- 年份：2014
- 出版商：John Wiley
- 頁數/規格：438頁/精裝單色
書籍介紹
目錄
Description
A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fields
Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Edition provides a challenging, yet accessible,combination of techniques, applications, and introductory theory on the subjectof partial differential equations. The new edition offers nonstandard coverageon material including Burger’s equation, the telegraph equation, damped wavemotion, and the use of characteristics to solve nonhomogeneous problems.
The Third Edition is organized around four themes: methods of solution for initial-boundary value problems; applications of partial differential equations; existence and properties of solutions; and the use of software to experiment with graphics and carry out computations. With a primary focus on wave and diffusion processes,Beginning Partial Differential Equations, Third Edition also includes:
A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fields
Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Edition provides a challenging, yet accessible,combination of techniques, applications, and introductory theory on the subjectof partial differential equations. The new edition offers nonstandard coverageon material including Burger’s equation, the telegraph equation, damped wavemotion, and the use of characteristics to solve nonhomogeneous problems.
The Third Edition is organized around four themes: methods of solution for initial-boundary value problems; applications of partial differential equations; existence and properties of solutions; and the use of software to experiment with graphics and carry out computations. With a primary focus on wave and diffusion processes,Beginning Partial Differential Equations, Third Edition also includes:
- Proofs of theorems incorporated within the topical presentation, such as the existence of a solution for the Dirichlet problem
- The incorporation of Maple™ to perform computations and experiments
- Unusual applications, such as Poe’s pendulum
- Advanced topical coverage of special functions, such as Bessel, Legendre polynomials, and spherical harmonics
- Fourier and Laplace transform techniques to solve important problems
Table of Contents
1. First Ideas
2. Solutions of the Heat Equation
3. Solutions of the Wave Equation
4. Dirichlet and Neumann Problems
5. Fourier Integral Methods of Solution
6. Solutions Using Eigenfunction Expansions
7. Integral Transform Methods of Solution
8 First-Order Equations
9 End Materials
1. First Ideas
2. Solutions of the Heat Equation
3. Solutions of the Wave Equation
4. Dirichlet and Neumann Problems
5. Fourier Integral Methods of Solution
6. Solutions Using Eigenfunction Expansions
7. Integral Transform Methods of Solution
8 First-Order Equations
9 End Materials
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