Solution Techniques for Elementary Partial Differential Equations
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Table of contents:Ordinary Differential Equations: A Brief Overview. Fourier Series. The Heat, Laplace and Wave Equations. The Method of Separation of Variables. The Method of Eigenfunction Expansion. The Fourier Transformations. The Laplace Transformation. Green's Functions. The General Second Order Linear Equation in Two Independent Variables. The Method of Characteristics. Perturbation and Asymptotic Methods.Many texts on partial differential equations (PDEs) are too detailed and voluminous, making them daunting to the average student. This undergraduate treatment is designed as a no-frills...
Table of contents:
Ordinary Differential Equations: A Brief Overview. Fourier Series. The Heat, Laplace and Wave Equations. The Method of Separation of Variables. The Method of Eigenfunction Expansion. The Fourier Transformations. The Laplace Transformation. Green's Functions. The General Second Order Linear Equation in Two Independent Variables. The Method of Characteristics. Perturbation and Asymptotic Methods.
Many texts on partial differential equations (PDEs) are too detailed and voluminous, making them daunting to the average student. This undergraduate treatment is designed as a no-frills text that explains completely but succinctly the major methods used in elementary PDEs. This text stands apart by providing full but concise explanations of the essence of the topics and many worked examples and exercises, which should facilitate a quick understanding of the material. Solution Techniques for Elementary Partial Differential Equations has been class tested with great success, and postscript files will be available to instructors for producing overhead projector transparencies for class instruction.
Ordinary Differential Equations: A Brief Overview. Fourier Series. The Heat, Laplace and Wave Equations. The Method of Separation of Variables. The Method of Eigenfunction Expansion. The Fourier Transformations. The Laplace Transformation. Green's Functions. The General Second Order Linear Equation in Two Independent Variables. The Method of Characteristics. Perturbation and Asymptotic Methods.
Many texts on partial differential equations (PDEs) are too detailed and voluminous, making them daunting to the average student. This undergraduate treatment is designed as a no-frills text that explains completely but succinctly the major methods used in elementary PDEs. This text stands apart by providing full but concise explanations of the essence of the topics and many worked examples and exercises, which should facilitate a quick understanding of the material. Solution Techniques for Elementary Partial Differential Equations has been class tested with great success, and postscript files will be available to instructors for producing overhead projector transparencies for class instruction.