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Edwards, Penney and Calvis, Differential Equations: Computing and Modeling Ser.: Differential Equations : Computing and Modeling by C. Henry Edwards, David E. Penney and David T. Calvis (2014, Hardcover)

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About this product

Product Identifiers

PublisherPearson Education

ISBN-100321816250

ISBN-139780321816252

eBay Product ID (ePID)201678140

Product Key Features

Number of Pages576 Pages

Publication NameDifferential Equations : Computing and Modeling

LanguageEnglish

SubjectDifferential Equations / General, General

Publication Year2014

TypeTextbook

AuthorC. Henry Edwards, David E. Penney, David T. Calvis

Subject AreaMathematics

SeriesEdwards, Penney and Calvis, Differential Equations: Computing and Modeling Ser.

FormatHardcover

Dimensions

Item Height1.1 in

Item Weight44 Oz

Item Length10.2 in

Item Width8.3 in

Additional Product Features

Edition Number5

Intended AudienceCollege Audience

Dewey Edition22

Dewey Decimal515.35

Table Of Content1. 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 Coefficients 3.4 Mechanical Vibrations 3.5 Nonhomogeneous Equations and Undetermined Coefficients 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

SynopsisFor introductory courses in Differential Equations. This text provides the conceptual development and geometric visualization of a modern differential equations course that is still essential to science and engineering students. It reflects the new emphases that permeate the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB; its focus has shifted from the traditional manual methods to new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been trimmed and new topics added: it starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the text.

LC Classification NumberQA371.E29 2015