Advanced Engineering Mathematics

Name: Advanced Engineering Mathematics
Price: 21.44 USD
Availability: InStock
ISBN: 9780763710651

ISBN-10: 0763710652

ISBN-13: 9780763710651

Edition: 2nd 2000 (Revised)

Authors: Dennis G. Zill, Michael R. Cullen

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 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.

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




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