Absolutely Australia's Lowest Prices

Shop over 1.5 Million Toys in our Huge New Range

Differential Equations

New or Used: $189.00
Product Details

Table of Contents

1: Modeling and Differential Equations. 1.1 The Modeling Approach. 1.2 A Modeling Adventure. 1.3 Models and Initial Value Problems. 1.4 The Modeling Process: Differential Systems. SPOTLIGHT ON MODELING: RADIOCARBON DATING. SPOTLIGHT ON MODELING: COLD MEDICATION I. 2: First-Order Differential Equations. 2.1 Linear Differential Equations. 2.2 Linear Differential Equations: Qualitative Analysis. 2.3 Existence and Uniqueness of Solutions. 2.4 Visualizing Solution Curves: Slope Fields. 2.5 Separable Differential Equations: Planar Systems. 2.6 A Predator-Prey Model: the Lotka-Volterra System. 2.7 Extension of Solutions: Long-Term Behavior. 2.8 Qualitative Analysis: State Lines, Sign Analysis. 2.9 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. 3: Second-Order Differential Equations. 3.1 Models of Springs. 3.2 Undriven Constant-Coefficient Linear Differential Equations. 3.3 Visualizing Graphs of Solutions: Direction Fields. 3.4 Periodic Solutions: Simple Harmonic Motion. 3.5 Driven Linear ODEs: Undetermined Coefficients I. 3.6 Driven Linear ODEs: Undetermined Coefficients II. 3.7 Theory of Second-Order Linear Differential Equations. 3.8 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. 4: Applications of Second-Order Differential Equations. 4.1 Newton's Laws: The Pendulum. 4.2 Beats and Resonance. 4.3 Frequency Response Modeling. 4.4 Electrical Circuits. Snapshot on Mechanical and Electrical Models. SPOTLIGHT ON MODELING: TUNING A CIRCUIT. 5: The Laplace Transform. 5.1 The Laplace Transform: Solving IVPs. 5.2 Working with the Transform. 5.3 Transforms of Periodic Functions. 5.4 Convolution. SPOTLIGHT ON THE DELTA FUNCTION. SPOTLIGHT ON MODELING: TIME DELAYS AND COLLISIONS. 6: Linear Systems of Differential Equations. 6.1 Compartment Models: Tracking Lead. 6.2 Eigenvalues, Eigenvectors and Eigenspaces of Matrices. 6.3 Undriven Linear Differential Systems: Real Eigenvalues. 6.4 Undriven Linear Systems: Complex Eigenvalues. 6.5 Orbital Portraits for Planar Systems. 6.6 Driven Systems: The Matrix Exponential. 6.7 Steady States. 6.8 The Theory of General Linear Systems. SPOTLIGHT ON VECTORS, MATRICES, INDEPENDENCE. SPOTLIGHT ON LINEAR ALGEBRAIC EQUATIONS. SPOTLIGHT ON BIFURCATIONS: SENSITIVITY. 7: Nonlinear Differential Systems. 7.1 Chemical Kinetics: The Fundamental Theorem. 7.2 Properties of Autonomous Systems, Direction Fields. 7.3 Interacting Species: Cooperation, Competition. SPOTLIGHT ON MODELING: DESTRUCTIVE COMPETITION. SPOTLIGHT ON MODELING: BIFURCATION AND SENSITIVITY. 8: Stability. 8.1 Stability and Linear Autonomous Systems. 8.2 Stability and Nonlinear Autonomous Systems. Stability of PlanarNonlinear Systems. 8.3 Conservative Systems. SPOTLIGHT ON LYAPUNOV FUNCTIONS. SPOTLIGHT ON ROTATING BODIES. 9: Nonlinear Systems: Cycles and Chaos. 9.1 Cycles. 9.2 Solution Behavior in Planar Autonomous Systems. 9.3 Bifucations. 9.4 Chaos. SPOTLIGHT ON CHAOTIC SYSTEMS. 10: Fourier Series and Partial Differential Equations. 10.1 Vibrations of a Guitar String. 10.2 Fourier Trigonometric Series. 10.3 Half-Range and Exponential Fourier Series. 10.4 Temperature in a Thin Rod. 10.5 Sturm-Liouville Problems. 10.6 The Method of Eigenfunction Expansions. SPOTLIGHT ON DECAY ESTIMATES. SPOTLIGHT ON THE OPTIMAL DEPTH FOR A WINE CELLAR. SPOTLIGHT ON APPROXIMATION OF FUNCTIONS. 11: Series Solutions. 11.1 The Method of Power Series. 11.2 Series Solutions Near an Ordinary Point. 11.3 Regular Singular Points: Euler's ODE. 11.4 Series Solutions Near Regular Singular Points. SPOTLIGHT ON LEGENDRE POLYNOMIALS. SPOTLIGHT ON BESSEL FUNCTIONS. Appendix A: Basic Theory of Initial Value Problems. A.1 Uniqueness. A.2 The Picard Process for Solving an Initial Value Problem. A.3 Extention of Solutions. Appendix B: Background Information. B.1 Power Series. B.2 Results from Calculus. Answers to Selected Problems. Index. Web Spotlights. *27 Additional SPOTLIGHTS appear on the text's Web site at www.wiley.com/college/borrelli.

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
People also searched for
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 5% commission by selling Differential Equations: A Modeling Perspective on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond World Ltd.
Back to top