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Differential Equations (with de Tools Printed Access Card) by Robert L. Devaney, Paul Blanchard and Glen R. Hall (2011, Hardcover, Revised edition)

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ISBN-13: 9781133109037. Differential Equations (with DE Tools Printed Access Card). Actual item pictured. Gift-like quality. Mint condition. Format: Hardcover, 864 pages.

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Product Information

Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to help users relate information taught in the classroom to real-world experiences. Certain models reappear throughout the book as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the long-term behavior of these recurring models. Users will discover how to identify and harness the mathematics they will use in their careers, and apply it effectively outside the classroom.

Product Identifiers

Publisher
Brooks/Cole
ISBN-10
1133109039
ISBN-13
9781133109037
eBay Product ID (ePID)
109120369

Product Key Features

Author
Glen R. Hall, Robert L. Devaney, Paul Blanchard
Publication Name
Differential Equations (With De Tools Printed ACCESS Card)
Format
Hardcover
Language
English
Features
Revised
Publication Year
2011
Type
Textbook
Number of Pages
864 Pages

Dimensions

Item Length
9.2in
Item Height
1.3in
Item Width
7.9in
Item Weight
54.5 Oz

Additional Product Features

Edition Description
Revised Edition
Edition Number
4
Table of Content
1. FIRST-ORDER DIFFERENTIAL EQUATIONS. Modeling via Differential Equations. Analytic Technique: Separation of Variables. Qualitative Technique: Slope Fields. Numerical Technique: Euler's Method. Existence and Uniqueness of Solutions. Equilibria and the Phase Line. Bifurcations. Linear Equations. Integrating Factors for Linear Equations. 2. FIRST-ORDER SYSTEMS. Modeling via Systems. The Geometry of Systems. Analytic Methods for Special Systems. Euler's Method for Systems. The Lorenz Equations. 3. LINEAR SYSTEMS. Properties of Linear Systems and the Linearity Principle. Straight-Line Solutions. Phase Planes for Linear Systems with Real Eigenvalues. Complex Eigenvalues. Special Cases: Repeated and Zero Eigenvalues. Second-Order Linear Equations. The Trace-Determinant Plane. Linear Systems in Three Dimensions. 4. FORCING AND RESONANCE. Forced Harmonic Oscillators. Sinusoidal Forcing. Undamped Forcing and Resonance. Amplitude and Phase of the Steady State. The Tacoma Narrows Bridge. 5. NONLINEAR SYSTEMS. Equilibrium Point Analysis. Qualitative Analysis. Hamiltonian Systems. Dissipative Systems. Nonlinear Systems in Three Dimensions. Periodic Forcing of Nonlinear Systems and Chaos. 6. LAPLACE TRANSFORMS. Laplace Transforms. Discontinuous Functions. Second-Order Equations. Delta Functions and Impulse Forcing. Convolutions. The Qualitative Theory of Laplace Transforms. 7. NUMERICAL METHODS. Numerical Error in Euler's Method. Improving Euler's Method. The Runge-Kutta Method. The Effects of Finite Arithmetic. 8. DISCRETE DYNAMICAL SYSTEMS. The Discrete Logistic Equation. Fixed Points and Periodic Points. Bifurcations. Chaos. Chaos in the Lorenz System. APPENDICES. A. Changing Variables. B. The Ultimate Guess. C. Complex Numbers and Euler's Formula.
Copyright Date
2011
Target Audience
College Audience
Topic
Differential Equations / General
Dewey Decimal
515.35
Dewey Edition
23
Genre
Mathematics

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by financemailerApr 05, 2024
Absolutely brand new textbook with zero scratches, as promised!! Thank you!!
Absolutely brand new textbook with zero scratches, as promised!! Thank you!!
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