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Differential Equations (2nd Edition) - Hardcover By Polking, John - GOOD - Picture 1 of 1

Differential Equations by Al Boggess, David Arnold and John Polking (2005, Hardcover)

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About this product

Product Information

Combining traditional differential equation material with a modern qualitative and systems approach, this new edition continues to deliver flexibility of use and extensive problem sets. The second edition's refreshed presentation includes extensive new visuals, as well as updated exercises throughout.

Product Identifiers

Publisher
Prentice Hall PTR
ISBN-10
0131437380
ISBN-13
9780131437388
eBay Product ID (ePID)
43551005

Product Key Features

Author
David Arnold, Al Boggess, John Polking
Publication Name
Differential Equations
Format
Hardcover
Language
English
Publication Year
2005
Type
Textbook
Number of Pages
656 Pages

Dimensions

Item Length
9.7in
Item Height
1in
Item Width
7.8in
Item Weight
48.3 Oz

Additional Product Features

Lc Classification Number
Qa371.P565 2006
Edition Number
2
Table of Content
Chapter 1: Introduction to Differential Equations Differential Equation Models. The Derivative. Integration. Chapter 2: First-Order Equations Differential Equations and Solutions. Solutions to Separable Equations. Models of Motion. Linear Equations. Mixing Problems. Exact Differential Equations. Existence and Uniqueness of Solutions. Dependence of Solutions on Initial Conditions. Autonomous Equations and Stability. Project 2.10 The Daredevil Skydiver. Chapter 3: Modeling and Applications Modeling Population Growth. Models and the Real World. Personal Finance. Electrical Circuits. Project 3.5 The Spruce Budworm. Project 3.6 Social Security, Now or Later. Chapter 4: Second-Order Equations Definitions and Examples. Second-Order Equations and Systems. Linear, Homogeneous Equations with Constant Coefficients. Harmonic Motion. Inhomogeneous Equations; the Method of Undetermined Coefficients. Variation of Parameters. Forced Harmonic Motion. Project 4.8 Nonlinear Oscillators. Chapter 5: The Laplace Transform The Definition of the Laplace Transform. Basic Properties of the Laplace Transform 241. The Inverse Laplace Transform Using the Laplace Transform to Solve Differential Equations. Discontinuous Forcing Terms. The Delta Function. Convolutions. Summary. Project 5.9 Forced Harmonic Oscillators. Chapter 6: Numerical Methods Euler's Method. Runge-Kutta Methods. Numerical Error Comparisons. Practical Use of Solvers. A Cautionary Tale. Project 6.6 Numerical Error Comparison. Chapter 7: Matrix Algebra Vectors and Matrices. Systems of Linear Equations with Two or Three Variables. Solving Systems of Equations. Homogeneous and Inhomogeneous Systems. Bases of a subspace. Square Matrices. Determinants. Chapter 8: An Introduction to Systems Definitions and Examples. Geometric Interpretation of Solutions. Qualitative Analysis. Linear Systems. Properties of Linear Systems. Project 8.6 Long-Term Behavior of Solutions. Chapter 9: Linear Systems with Constant Coefficients Overview of the Technique. Planar Systems. Phase Plane Portraits. The Trace-Determinant Plane. Higher Dimensional Systems. The Exponential of a Matrix. Qualitative Analysis of Linear Systems. Higher-Order Linear Equations. Inhomogeneous Linear Systems. Project 9.10 Phase Plane Portraits. Project 9.11 Oscillations of Linear Molecules. Chapter 10: Nonlinear System s The Linearization of a Nonlinear System. Long-Term Behavior of Solutions. Invariant Sets and the Use of Nullclines. Long-Term Behavior of Solutions to Planar Systems. Conserved Quantities. Nonlinear Mechanics. The Method of Lyapunov. Predator Prey Systems. Project 10.9 Human Immune Response to Infectious Disease. Project 10.10 Analysis of Competing Species. Chapter 11: Series Solutions to Differential Equations Review of Power Series. Series Solutions Near Ordinary Points. Legendre's Equation. Types of Singular Points-Euler's Equation. Series Solutions Near Regular Singular Points. Series Solutions Near Regular Singular Points - the General Case. Bessel's Equation and Bessel Functions.
Copyright Date
2006
Target Audience
College Audience
Topic
Differential Equations / General, General
Lccn
2005-048914
Dewey Decimal
515.35
Dewey Edition
22
Illustrated
Yes
Genre
Mathematics

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item 1 Differential Equations [2nd Edition]
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item 2 Differential Equations [2nd Edition]
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item 3 Differential Equations Hardcover John, Arnold, David, Boggess, Al
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item 4 Differential Equations (2nd Edition) - Hardcover By Polking, John - GOOD
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item 5 Differential Equations by Polking, John; Boggess, Al; Arnold, David
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item 6 Differential Equations (2nd - Hardcover, by Polking John; Boggess - Acceptable n
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5 out of 5 stars
by jijun_20Sep 21, 2021
Really Excellent
The quality is amazingly perfect. Just like the whole new book. Shopping fast. Everything is good
Verified purchase: Yes | Condition: Pre-owned
4 out of 5 stars
by R2iUWBTrSzu@Del...Mar 03, 2008
it was good
The book is much better than my professor at explaining Diff Eq. I am taking a class at Notre Dame, which is why I need the book.

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