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Advanced Engineering Mathematics

ISBN-10: 0763710652
ISBN-13: 9780763710651
Edition: 2nd 2000 (Revised)
List price: $197.95
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Description: Advanced Engineering Mathematics is a compendium of many mathematical topics, all of which are loosely related by the expedient of either being needed or useful in courses and subsequent careers in science and engineering. Consequently, this book  More...

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Book details

List price: $197.95
Edition: 2nd
Copyright year: 2000
Publisher: Jones & Bartlett Learning, LLC
Publication date: 12/6/1999
Binding: Hardcover
Pages: 926
Size: 8.25" wide x 10.25" long x 1.75" tall
Weight: 4.532
Language: English

Advanced Engineering Mathematics is a compendium of many mathematical topics, all of which are loosely related by the expedient of either being needed or useful in courses and subsequent careers in science and engineering. Consequently, this book represents the most accurate list of what constitutes "engineering mathematics." For flexibility in topic selection, the text is divided into five major sections that illustrate the backbone of science/engineering related mathematics. The first eight chapters of this book constitute a complete short course in ordinary differential equations.

Ordinary Differential Equations
Introduction to Differential Equations
Definitions and Terminology
Initial-Value Problems
Differential Equations as Mathematical Models
Review Exercises
First-Order Differential Equations
Solution Curves Without the Solution
Separable Variables
Linear Equations
Exact Equations
Solutions by Substitutions
A Numerical Solutions
Linear Models
Nonlinear
Systems: Linear and Nonlinear Models
Review Exercises
Higher-Order Differential Equations
Preliminary Theory: Linear and Nonlinear Models
Reduction of Order
Homogenous Linear Equations with Constant Coefficients
Undetermined
Variations of Parameters
Cauchy-Euler Equation
Nonlinear Equations
Linear Models: Initial-Value Problems
Linear Models: Boundary-Value Problems
Nonlinear Models
Solving Systems of Linear Models
Review Exercises
The Laplace Transform
Definition of the Laplace Transform
The Inverse Transform and Transforms of Derivations
Translation Theorems
Additional Operational Properties
Dirac Delta Function
Solving Systems of Linear Equations
Review Exercises
Series Solutions of Linear Equations
Solutions about Ordinary Points
Solutions about Singular Points
Two Special Equations
Review Exercises
Numerical Solutions of Ordinary Differential Equations
Euler Methods and Error Analysis
Runge-Kutta Methods
Methods
Higher-Order Equations and Systems
Second-Order Boundary-Value Problems
Vectors, Matrices, and Vector Calculus
Chapter 7

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