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Featured Titles for Differential Equations Ser.: Differential Equations and Boundary Value Problems : Computing and Modeling by David E. Penney, C. Henry Edwards and David Calvis (2007, Hardcover)

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DIFFERENTIAL EQUATIONS AND BOUNDARY VALUE PROBLEMS: COMPUTING AND MODELING (4TH EDITION) By C. Henry Edwards, David E. Penney - Hardcover **Mint Condition**.

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Product Information

This practical book reflects the new technological emphasis that permeates differential equations, including the wide availability of scientific computing environments like "Maple, Mathematica, " and MATLAB; it does not concentrate on traditional manual methods but rather on new computer-based methods that lead to a wider range of more realistic applications. The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the book. For mathematicians and those in the field of computer science and engineering. "

Product Identifiers

Publisher
Prentice Hall PTR
ISBN-10
0131561073
ISBN-13
9780131561076
eBay Product ID (ePID)
59120697

Product Key Features

Author
David Calvis, C. Henry Edwards, David E. Penney
Publication Name
Differential Equations and Boundary Value Problems : Computing and Modeling
Format
Hardcover
Language
English
Publication Year
2007
Series
Featured Titles for Differential Equations Ser.
Type
Textbook
Number of Pages
816 Pages

Dimensions

Item Length
3.9in
Item Height
3.9in
Item Width
3.9in
Item Weight
3.5 Oz

Additional Product Features

Lc Classification Number
Qa371
Edition Number
4
Table of Content
1. First Order Differential Equations.Differential Equations and Mathematical Models. Integrals as General and Particular Solutions. Slope Fields and Solution Curves. Separable Equations and Applications. Linear First Order Equations. Substitution Methods and Exact Equations.2. Mathematical Models and Numerical Methods.Population Models. Equilibrium Solutions and Stability. Acceleration-Velocity Models. Numerical Approximation: Euler's Method. A Closer Look at the Euler Method, and Improvements. The Runge-Kutta Method.3. Linear Equations of Higher Order.Introduction: Second-Order Linear Equations. General Solutions of Linear Equations. Homogeneous Equations with Constant Coefficients. Mechanical Vibrations. Nonhomogeneous Equations and Undetermined Coefficients. Forced Oscillations and Resonance. Electrical Circuits. Endpoint Problems and Eigenvalues.4. Introduction to Systems of Differential Equations.First-Order Systems and Applications. The Method of Elimination. Numerical Methods for Systems.5. Linear Systems of Differential Equations.Linear Systems and Matrices. The Eigenvalue Method for Homogeneous Systems. Second Order Systems and Mechanical Applications. Multiple Eigenvalue Solutions. Matrix Exponentials and Linear Systems. Nonhomogenous Linear Systems.6. Nonlinear Systems and Phenomena.Stability and the Phase Plane. Linear and Almost Linear Systems. Ecological Models: Predators and Competitors. Nonlinear Mechanical Systems. Chaos in Dynamical Systems.7. Laplace Transform Methods.Laplace Transforms and Inverse Transforms. Transformation of Initial Value Problems. Translation and Partial Fractions. Derivatives, Integrals, and Products of Transforms. Periodic and Piecewise Continuous Forcing Functions. Impulses and Delta Functions.8. Power Series Methods.Introduction and Review of Power Series. Series Solutions Near Ordinary Points. Regular Singular Points. Method of Frobenius: The Exceptional Cases. Bessel's Equation. Applications of Bessel Functions.9. Fourier Series Methods.Periodic Functions and Trigonometric Series. General Fourier Series and Convergence. Even-Odd Functions and Termwise Differentiation. Applications of Fourier Series. Heat Conduction and Separation of Variables. Vibrating Strings and the One-Dimensional Wave Equation. Steady-State Temperature and Laplace's Equation.10. Eigenvalues and Boundary Value Problems.Sturm-Liouville Problems and Eigenfunction Expansions. Applications of Eigenfunction Series. Steady Periodic Solutions and Natural Frequencies. Applications of Bessel Functions. Higher-Dimensional Phenomena.References. Appendix: Existence and Uniqueness of Solutions. Answers to Selected Problems. Index.
Copyright Date
2008
Target Audience
College Audience
Topic
Differential Equations / General
Dewey Decimal
515/.35
Dewey Edition
23/Eng/20211204
Illustrated
Yes
Genre
Mathematics

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item 1 Differential Equations and Boundary Value Problems: Computing and Modelin - GOOD
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item 2 Differential Equations and Boundary..., Penney, David E
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item 3 Differential Equations and - Hardcover, by Edwards C. Henry; - Very Good
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item 4 Differential Equations and Boundary Value Problems: Computing and Modeling [4th
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item 5 Differential Equations and Boundary Value Problems: Computing and Modeling (4th
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item 6 Differential Equations and Boundary Value Problems: Computing and Modeling: Used
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item 7 Differential Equations and Boundary Value Problems by C. Henry Edwards
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3.3

3.3 out of 5 stars based on 7 product ratings

7 product ratings

1 users rated this 5 out of 5 stars
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See all 7 reviews

4 out of 5 stars
by nattgewMay 15, 2010
Good Differential Equations Book
This book has a lot of good material in it. It provides a great introduction to differential equations. The material is presented fairly clearly and steps are explained well. Problems can be figured out from the examples that are given. The Student Solutions Manual (separate) is a good supplement to explain how specific problems were solved. I liked the applications sections, as they gave great examples of how differential equations are used to model real world processes, and how the techniques shown in the book can be used to solve them. It's always good to know that all this number pushing we learn in math class actually has some real use. There are things that this book doesn't cover that my teacher used other books to teach from (certain equation solving techniques, special substitutions I believe), but there's also plenty in this book that we didn't get to. I plan to keep it to use for reference in the future.Read full review
5 out of 5 stars
by julijavinOct 05, 2011
3 weeks into the course, I think it's pretty good
This book has been pretty good so far. The examples given are very helpful for the practice problems, which is more than I can say for other books I've had.
4 out of 5 stars
by skippyfunkOct 01, 2008
Math textbook
Got this book for my differential equations class at engineering school. So far, it has been pretty clear - good examples and even some programming help.
2 out of 5 stars
by nam0004Aug 01, 2008
Cryptic, difficult, useless.
Hard to understand. I couldn't learn a thing from this book. I had to use the internet to teach me Diff EQ... thank God I found a good website, because without it I would have failed.
2 out of 5 stars
by _a1ciWTVR0C@Del...Sep 24, 2008
missing last three chapters!!!!!
I recommend this book if you only want chapter up to 7. In an original one, there is chapters up to 10. This one has last three chapters (Ch 8,9, and 10) missing!!!

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Featured Titles for Differential Equations Ser.: Differential Equations and Boundary Value Problems : Computing and Modeling by David E. Penney, C. Henry Edwards and David Calvis (2007, Hardcover)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

Ratings and Reviews

Most relevant reviews

Good Differential Equations Book

3 weeks into the course, I think it's pretty good

Math textbook

Cryptic, difficult, useless.

missing last three chapters!!!!!

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