Differential equations : computing and modeling / C. Henry Edwards, David E. Penney, The University of Georgia ; with the assistance of David Calvis, Baldwin-Wallace College.
Publication details: Boston, MA : Pearson Education, Inc., [2015]Edition: Fifth editionDescription: xl, 562 pages : illustrations ; 26 cmISBN:- 9780321816252 (hardcover)
- 0321816250 (hardcover)
- Differential equations and boundary value problems. Chapter 1-7
- 515/.35 23
- QA371 .E29 2015
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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Books | URBE Library General Stacks | Non-fiction | QA371 .E29 2015 (Browse shelf(Opens below)) | Available | 0878 |
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QA303.2 .S772 2012 Copy1 Single variable calculus : | QA303.2 .S772 2012 Copy2 Single variable calculus : | QA353.T7 S74 2007 Essential calculus : | QA371 .E29 2015 Differential equations : computing and modeling / | QA433 .S66 2009 Vector analysis and an introduction to tensor analysis / | QC21.3 .G539 2009 Physics for scientists and engineers with modern physics / | QH308.2 .M677 2013 Biology : how life works / |
Includes bibliographical references and index.
1. First-Order Differential Equations 1.1 Differential Equations and Mathematical Models 1.2 Integrals as General and Particular Solutions 1.3 Slope Fields and Solution Curves 1.4 Separable Equations and Applications 1.5 Linear First-Order Equations 1.6 Substitution Methods and Exact Equations 2. Mathematical Models and Numerical Methods 2.1 Population Models 2.2 Equilibrium Solutions and Stability 2.3 Acceleration-Velocity Models 2.4 Numerical Approximation: Euler's Method 2.5 A Closer Look at the Euler Method 2.6 The Runge-Kutta Method 3. Linear Equations of Higher Order 3.1 Introduction: Second-Order Linear Equations 3.2 General Solutions of Linear Equations 3.3 Homogeneous Equations with Constant Coefcients 3.4 Mechanical Vibrations 3.5 Nonhomogeneous Equations and Undetermined Coefcients 3.6 Forced Oscillations and Resonance 3.7 Electrical Circuits 3.8 Endpoint Problems and Eigenvalues 4. Introduction to Systems of Differential Equations 4.1 First-Order Systems and Applications 4.2 The Method of Elimination 4.3 Numerical Methods for Systems 5. Linear Systems of Differential Equations 5.1 Matrices and Linear Systems 5.2 The Eigenvalue Method for Homogeneous Systems 5.3 A Gallery of Solution Curves of Linear Systems 5.4 Second-Order Systems and Mechanical Applications 5.5 Multiple Eigenvalue Solutions 5.6 Matrix Exponentials and Linear Systems 5.7 Nonhomogeneous Linear Systems 6. Nonlinear Systems and Phenomena 6.1 Stability and the Phase Plane 6.2 Linear and Almost Linear Systems 6.3 Ecological Models: Predators and Competitors 6.4 Nonlinear Mechanical Systems 6.5 Chaos in Dynamical Systems 7. Laplace Transform Methods 7.1 Laplace Transforms and Inverse Transforms 7.2 Transformation of Initial Value Problems 7.3 Translation and Partial Fractions 7.4 Derivatives, Integrals, and Products of Transforms 7.5 Periodic and Piecewise Continuous Input Functions 7.6 Impulses and Delta Functions
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