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Differential Equations and Linear Algebra by David E. Penney and C. Henry Edwards (2004, Hardcover, Revised edition)

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Differential Equations and Linear Algebra. by Edwards, C. H.; Penney, David E.; Edwards, Henry Henry.

About this product

Product Information

Offers a treatment of differential equations together with the linear algebra topics that students need. This text discusses mathematical modeling of real-world phenomena, with a computational and qualitative approach, presenting figures, examples, problems, and applications. It is useful for courses in Differential Equations and Linear Algebra.

Product Identifiers

Publisher
Prentice Hall PTR
ISBN-10
0131481460
ISBN-13
9780131481466
eBay Product ID (ePID)
30504874

Product Key Features

Author
C. Henry Edwards, David E. Penney
Publication Name
Differential Equations and Linear Algebra
Format
Hardcover
Language
English
Features
Revised
Publication Year
2004
Type
Textbook
Number of Pages
784 Pages

Dimensions

Item Length
10.3in
Item Height
1.3in
Item Width
8.3in
Item Weight
57.1 Oz

Additional Product Features

Lc Classification Number
Qa372.E34 2004
Edition Description
Revised Edition
Edition Number
2
Table of Content
Chapter 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. Chapter 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 Chapter 3: Linear Systems and Matrices 3.1: Introduction to Linear Systems. 3.2: Matrices and Gaussian Elimination. 3.3: Reduced Row-Echelon Matrices. 3.4: Matrix Operations. 3.5: Inverses of Matrices. 3.6: Determinants. 3.7: Linear Equations and Curve Fitting. Chapter 4: Vector Spaces 4.1: The Vector Space R3. 4.2: The Vector Space Rn and Subspaces. 4.3: Linear Combinations and Independence of Vectors. 4.4: Bases and Dimension for Vector Spaces. 4.5: Row and Column Spaces. 4.6: Orthogonal Vectors in Rn. 4.7: General Vector Spaces. Chapter 5: Higher Order Linear Differential Equations 5.1: Introduction: Second-Order Linear Equations. 5.2: General Solutions of Linear Equations. 5.3: Homogeneous Equations with Constant Coefficients. 5.4: Mechanical Vibrations. 5.5: Undetermined Coefficients and Variation of Parameters. 5.6: Forced Oscillations and Resonance. Chapter 6: Eigenvalues and Eigenvectors 6.1: Introduction to Eigenvalues. 6.2: Diagonalization of Matrices. 6.3: Applications Involving Powers of Matrices Chapter 7: Linear Systems of Differential Equations 7.1 First-Order Systems and Applications. 7.2: Matrices and Linear Systems. 7.3: The Eigenvalue Method for Linear Systems. 7.4: Second-Order Systems and Mechanical Applications. 7.5: Multiple Eigenvalue Solutions. 7.6: Numerical Methods for Systems. Chapter 8: Matrix Exponential Methods 8.1: Matrix Exponentials and Linear Systems. 8.2: Nonhomogeneous Linear Systems. 8.3: Spectral Decomposition Methods. Chapter 9: Nonlinear Systems and Phenomena 9.1: Stability and the Phase Plane. 9.2: Linear and Almost Linear Systems. 9.3: Ecological Models: Predators and Competitors. 9.4: Nonlinear Mechanical Systems. Chapter 10: Laplace Transform Methods 10.1: Laplace Transforms and Inverse Transforms. 10.2: Transformation of Initial Value Problems. 10.3: Translation and Partial Fractions. 10.4: Derivatives, Integrals, and Products of Transforms. 10.5: Periodic and Piecewise Continuous Input Functions. Chapter 11: Power Series Methods 11.1: Introduction and Review of Power Series. 11.2: Power Series Solutions. 11.3: Frobenius Series Solutions. 11.4: Bessel Functions. References for Further Study. Appendix A: Existence and Uniqueness of Solutions. Appendix B:Theory of Determinants. Answers to Selected Problems. Index.
Copyright Date
2005
Target Audience
College Audience
Topic
Algebra / Linear, Differential Equations / General
Lccn
2004-040055
Dewey Decimal
515.35
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics

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item 1 Differential Equations and Linear Algebra - Hardcover, by Edwards C. H.; - Good
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item 2 Differential Equations and Linear Algebra [ Edwards, C. H. ] Used - Good
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item 3 Differential Equations and Linear Algebra
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item 4 Differential Equations and Linear Algebra by C Henry Edwards: Used
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item 5 Differential Equations And Linear Algebra, Edwards, Henry Henry,Penney, David E.
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item 6 DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA By C. H. Edwards & David E. Penney VG+
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item 7 Differential Equations and Linear Algebra (2nd Edition) by Edwards, C. Henry, P
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Most relevant reviews

5 out of 5 stars
by iLFuCum4RSq@Del...Sep 07, 2006
Differential Equations and LInear Algebra
I bought it for my math class because it was a required text and for a text book it has thus far been very clear. The only thing i dislike about it is that the solution's manual has very few problems worked out, which helps in studying math.
3 out of 5 stars
by hwlinmadmrdocFeb 04, 2009
Diff Eq
Its a text book so there isn't a whole lot to say about it. We haven't used it a whole lot in class but the examples are nice.

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