Elementary applied partial differential equations : with Fourier series and boundary value problems / Richard Haberman.
By: Haberman, Richard
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Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
General Lending | MTU Bishopstown Library Lending | 515.353 (Browse shelf(Opens below)) | 1 | Available | 00011572 |
Enhanced descriptions from Syndetics:
This text is designed for engineers, scientists, and mathematicians with a background in elementary ordinary differential equations and calculus.
Bibliography: (pages 531-532) and index.
Heat equation -- Method of separation of variables -- Fourier series -- Vibrating strings and membranes -- Sturm-Liouville eigenvalue problems -- Partial differentiation equations with at least three independent variables -- Nonhomogeneous problems -- Green's functions for time-independent problems -- Infinite domain problems - Fourier transform solutions of partial differential equations -- Green's functions for time-dependent problems -- The method of characteristics for linear and quasi-linear wave equations -- A brief introduction to Laplace transform solution of partial differential equations -- An elementary discussion of finite difference numerical methods for partial differential equations.
Table of contents provided by Syndetics
- 1 Heat Equation
- 2 Method of Separation of Variables
- 3 Fourier Series
- 4 Vibrating Strings and Membranes
- 5 Sturm-Liouville Eigenvalue Problems
- 6 Partial Differential Equations with at Least Three Independent Variables
- 7 Nonhomogenous Problems
- 8 Green's Functions for Time-Independent Problems
- 9 Infinite Domain Problems Fourier Transform Solutions of Partial Differential Equations
- 10 Green's Functions for Time-Dependent Problems
- 11 The Method of Characteristics for Linear and Quasi-Linear Wave Equations
- 12 A Brief Introduction to Laplace Transform Solution of Partial Differential Equations
- 13 An Elementary Discussion of Finite Different Numerical Methods for Partial Differential Equations
- Selected Answers to Starred Exercises
- Bibliography
- Index