Differential Equations A Modeling Perspective

ISBN-10: 0471433330

ISBN-13: 9780471433330

Edition: 2nd 2004

List price: $89.95
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This title is the student resource manual which accompanies 'Diffential Equations', second edition. It covers modern topics such as sensitivity, long-term behaviour, bifurcation, and chaos together with the basic solution formula techniques and theory.
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Book details

List price: $89.95
Edition: 2nd
Copyright year: 2004
Publisher: John Wiley & Sons, Incorporated
Publication date: 4/10/2004
Binding: Paperback
Pages: 375
Size: 8.00" wide x 10.00" long x 0.50" tall
Weight: 0.726
Language: English

Modeling and Differential Equations
The Modeling Approach
A Modeling Adventure
Models and Initial Value Problems
The Modeling Process: Differential Systems
Spotlight on Modeling: Radiocarbon Dating
Spotlight on Modeling: Cold Medication I
First-Order Differential Equations
Linear Differential Equations
Linear Differential Equations: Qualitative Analysis
Existence and Uniqueness of Solutions
Visualizing Solution Curves: Slope Fields
Separable Differential Equations: Planar Systems
A Predator-Prey Model: the Lotka-Volterra System
Extension of Solutions: Long-Term Behavior
Qualitative Analysis: State Lines, Sign Analysis
Bifucations: A Harvested Logistic Model
Snapshot on Solution Formula Techniques
Spotlight on approximate numerical solutions
Spotlight on computer implementation
Spotlight on steady states: linear odes
Spotlight on modeling: cold medication II
Spotlight on change of variables: pursuit models
Spotlight on continuity in the data
Second-Order Differential Equations
Models of Springs
Undriven Constant-Coefficient Linear Differential Equations
Visualizing Graphs of Solutions: Direction Fields
Periodic Solutions: Simple Harmonic Motion
Driven Linear ODEs: Undetermined Coefficients I
Driven Linear ODEs: Undetermined Coefficients II
Theory of Second-Order Linear Differential Equations
Nonlinear Second-Order Differential Equations
A Snapshot Look at Constant-Coefficient Polynomial Operators
Spotlight on modeling: vertical motion
Spotlight on modeling: shock absorbers
Spotlight on einstein's field equations
Applications of Second-Order Differential Equations
Snapshot on Mechanical and Electrical Models
Spotlight on modeling: tuning a circuit
The Laplace Transform
The Laplace Transform: Solving IVPs
Working with the Transform
Transforms of Periodic Functions
Spotlight on the Delta Function
Spotlight on Modeling: Time Delays And Collisions
Linear Systems of Differential Equations
Compartment Models: Tracking Lead
Eigenvalues, Eigenvectors and Eigenspaces of Matrices
Undriven Linear Differential Systems: Real Eigenvalues
Undriven Linear Systems: Complex Eigenvalues
Orbital Portraits for Planar Systems
Driven Systems: The Matrix Exponential
Steady States
The Theory of General Linear Systems
Spotlight on vectors, matrices, independence
Spotlight on linear algebraic equations
Spotlight on bifurcations: sensitivity
Nonlinear Differential Systems
Spotlight On Modeling: Destructive Competition
Spotlight on Modeling: Bifurcation And Sensitivity
Stability and Linear Autonomous Systems
Stability and Nonlinear Autonomous Systems
Stability of PlanarNonlinear Systems
Conservative Systems
Spotlight on Lyapunov Functions
Spotlight on Rotating Bodies
Nonlinear Systems: Cycles and Chaos
Solution Behavior in Planar Autonomous Systems
Spotlight On Chaotic Systems
Fourier Series and Partial Differential Equations
Vibrations of a Guitar String
Fourier Trigonometric Series
Half-Range and Exponential Fourier Series
Temperature in a Thin Rod
Sturm-Liouville Problems
The Method of Eigenfunction E
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