Elementary Differential Equations, with ODE Architect CD

ISBN-10: 047143339X
ISBN-13: 9780471433392
Edition: 8th 2005 (Revised)
List price: $192.95
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Description: This revision of Boyce & DiPrima's text maintains its classic strengths: a contemporary approach with flexible chapter construction, clear exposition, and outstanding problems. Like previous editions, this revision is written from the viewpoint of  More...

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Book details

List price: $192.95
Edition: 8th
Copyright year: 2005
Publisher: John Wiley & Sons, Incorporated
Publication date: 8/16/2004
Binding: Hardcover
Pages: 640
Size: 8.00" wide x 10.00" long x 1.00" tall
Weight: 3.036
Language: English

This revision of Boyce & DiPrima's text maintains its classic strengths: a contemporary approach with flexible chapter construction, clear exposition, and outstanding problems. Like previous editions, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of Differential Equations as they apply to engineering and the sciences. A perennial best seller designed for engineers and scientists who need to use Elementary Differential Equations in their work and studies. The CD-ROM includes: The award-winning ODE Architect software. The software's 14 modules enable you to build and solve your own ODEs, and to use simulations and multimedia to develop detailed mathematical models and concepts in a truly interactive environment. The ODE Architect Companion. The Companion extends the ideas featured in each multimedia module. The web-based learning tools include: Review & Study Guidelines. The Chapter Review Guidelines will help you prepare for quizzes and exams. Online Review Quizzes. The quizzes enable you to test your knowledge of key concepts and provide diagnostic feedback that references appropriate sections in the text. PowerPoint Slides. You can print these slides out for in-class note taking. Getting Started with ODE Architect. This guide will help you get up-and-running with ODE Architect's simulations and multimedia.

Preface
Introduction 1
Some Basic Mathematical Models; Direction Fields
Solutions of Some Differential Equations
Classification of Differential Equations
Historical Remarks
First Order Differential Equations
Linear Equations; Method of Integrating Factors
Separable Equations
Modeling with First Order Equations
Differences Between Linear and Nonlinear Equations
Autonomous Equations and Population Dynamics
Exact Equations and Integrating Factors
Numerical Approximations: Euler's Method
The Existence and Uniqueness Theorem
First Order Difference Equations
Second Order Linear Equations 135
Homogeneous Equations with Constant Coef?cients
Fundamental Solutions of Linear Homogeneous Equations; The Wronskian
Complex Roots of the Characteristic Equation
Repeated Roots; Reduction of Order
Nonhomogeneous Equations; Method of Undetermined Coefficients
Variation of Parameters
Mechanical and Electrical Vibrations
Forced Vibrations
Higher Order Linear Equations
General Theory of nth Order Linear Equations
Homogeneous Equations with Constant Coef?cients
The Method of Undetermined Coef?cients
The Method of Variation of Parameters
Series Solutions of Second Order Linear Equations
Review of Power Series
Series Solutions Near an Ordinary Point, Part I
Series Solutions Near an Ordinary Point, Part II
Euler Equations; Regular Singular Points
Series Solutions Near a Regular Singular Point, Part I
Series Solutions Near a Regular Singular Point, Part II
Bessel's Equation
The Laplace Transform
Definition of the Laplace Transform
Solution of Initial Value Problems
Step Functions
Differential Equations with Discontinuous Forcing Functions
Impulse Functions
The Convolution Integral
Systems of First Order Linear Equations
Introduction
Review of Matrices
Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors
Basic Theory of Systems of First Order Linear Equations
Homogeneous Linear Systems with Constant Coefficients
Complex Eigenvalues
Fundamental Matrices
Repeated Eigenvalues
Nonhomogeneous Linear Systems
Numerical Methods
The Euler or Tangent Line Method
Improvements on the Euler Method
The Runge-KuttaMethod
Multistep Methods
More on Errors; Stability

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