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Differential Equations with Boundary Value Problems An Introduction to Modern Methods and Applications

ISBN-10: 0470418508
ISBN-13: 9780470418505
Edition: 2009
List price: $209.99 Buy it from $5.88
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Description: Brannan provides engineers with both an introduction to, and a survey of, modern methods, applications, and theory of a powerful mathematical apparatus that will help them in the field. Section exercises of varying levels of difficulty give them  More...

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Book details

List price: $209.99
Copyright year: 2009
Publisher: John Wiley & Sons, Limited
Publication date: 4/29/2009
Binding: Hardcover
Pages: 976
Size: 8.00" wide x 10.00" long x 1.50" tall
Weight: 3.784
Language: English

Brannan provides engineers with both an introduction to, and a survey of, modern methods, applications, and theory of a powerful mathematical apparatus that will help them in the field. Section exercises of varying levels of difficulty give them hands-on experience in modeling, analysis, and computer experimentation. New coverage is included on series solutions of second order linear equations, partial differential equations and Fourier Solutions, and boundary value problems and Sturm-Liouville Theory. The companion ODE Architect CD arms them with a user-friendly software tool for computing numerical approximations to solutions of systems of differential equations, and for constructing component plots, direction fields, and phase portraits. Physical representations of dynamical systems and animations available in the ODE Architect enable engineers to visualize solutions routinely.

Introduction
First Order Differential Equations
Systems of Two First Order Equations
Second Order Linear Equations
The LaPlace Transform
Systems of First Order Linear Equations
Nonlinear Differential Equations and Stability
Series Solutions of Second Order Linear Equations
Partial Differential Equations and Fourier Series
Boundary Value Problems and Sturm-Liouville Theory
Matrices and Linear Algebra
Complex Variables
Answers to Selected Problems
References
Index

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