Linear Partial Differential Equations for Scientists and Engineers

• Main Authors: Myint-U, Tyn (Author), Debnath, Lokenath (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2007.
• Edition: Fourth Edition.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Physics.; Analysis.; Partial Differential Equations.; Applications of Mathematics.; Mathematical Methods in Physics.; Appl.Mathematics/Computational Methods of Engineering.; Computational Science and Engineering.

One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, inclu...

Table of Contents:

• First-Order, Quasi-Linear Equations and Method of Characteristics
• Mathematical Models
• Classification of Second-Order Linear Equations
• The Cauchy Problem and Wave Equations
• Fourier Series and Integrals with Applications
• Method of Separation of Variables
• Eigenvalue Problems and Special Functions
• Boundary-Value Problems and Applications
• Higher-Dimensional Boundary-Value Problems
• Green’s Functions and Boundary-Value Problems
• Integral Transform Methods with Applications
• Nonlinear Partial Differential Equations with Applications
• Numerical and Approximation Methods
• Tables of Integral Transforms.