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Differential Equations & Linear Algebra by C. H. Edwards 2001 Hardcover
US $31.19
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Located in: Glendale, California, United States
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Seller assumes all responsibility for this listing.
eBay item number:145750522326
Item specifics
- Condition
- Good
- Seller Notes
- Series
- A to Z
- Subject Area
- Mathematics
- Educational Level
- Adult & Further Education, High School
- Personalized
- No
- Level
- Beginner, Intermediate
- Features
- Book Club Edition
- Country/Region of Manufacture
- United States
- Subject
- Algebra / Linear, Differential Equations / General
- ISBN
- 9780139737510
- Publication Name
- Differential Equations and Linear Algebra
- Item Length
- 9.5 in
- Publisher
- Prentice Hall PTR
- Publication Year
- 2000
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.2 in
- Item Width
- 8.3 in
- Item Weight
- 49.8 Oz
- Number of Pages
- 682 Pages
About this product
Product Information
For courses in Differential Equations and Linear Algebra in departments of math and engineering. This text covers the core concepts and techniques of elementary linear algebra matrices and linear systems, vector spaces, eigensystems, and matrix exponentials that are needed for a careful introduction to differential equations. The differential equations and linear algebra are well-integrated. Complementing this solid foundation, the text emphasizes mathematical modeling of real-world phenomena, and offers a fresh new computational flavor evident in figures, examples, problems, and projects throughout.
Product Identifiers
Publisher
Prentice Hall PTR
ISBN-10
0139737510
ISBN-13
9780139737510
eBay Product ID (ePID)
1758535
Product Key Features
Publication Name
Differential Equations and Linear Algebra
Format
Hardcover
Language
English
Subject
Algebra / Linear, Differential Equations / General
Publication Year
2000
Type
Textbook
Subject Area
Mathematics
Number of Pages
682 Pages
Dimensions
Item Length
9.5 in
Item Height
1.2 in
Item Width
8.3 in
Item Weight
49.8 Oz
Additional Product Features
LCCN
00-028572
Lc Classification Number
Qa372.E34 2000
Table of Content
1. First-Order Differential Equations. Differential Equations and Mathematical Model. Integrals as General and Particular Solutions. Direction 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. The Runge-Kutta Method. 3. Linear Systems and Matrices. Introduction to Linear Systems. Matrices and Gaussian Elimination. Reduced Row-Echelon Matrices. Matrix Operations. Inverses of Matrices. Determinants. Linear Equations and Curve Fitting. 4. Vector Spaces. The Vector Space R 3. The Vector Space Rn and Subspaces. Linear Combinations and Independence of Vectors. Bases and Dimension for Vector Spaces. General Vector Spaces. 5. Linear Equations of Higher Order. Introduction: Second-Order Linear Equations. General Solutions of Linear Equations. Homogeneous Equations with Constant Coefficients. Mechanical Vibrations. Undetermined Coefficients and Variation of Parameters. Forced Oscillations and Resonance. 6. Eigenvalues and Eigenvectors. Introduction to Eigenvalues. Diagonalization of Matrices. Applications Involving Powers of Matrices. 7. Linear Systems of Differential Equations. First-Order Systems and Applications. Matrices and Linear Systems. The Eigenvalue Method for Linear Systems. Second-Order Systems and Mechanical Applications. Multiple Eigenvalue Solutions. Numerical Methods for Systems. 8. Matrix Exponential Methods. Matrix Exponentials and Linear Systems. Nonhomogeneous Linear Systems. Spectral Decomposition Methods. 9. Nonlinear Systems and Phenomena. Stability and the Phase Plane. Linear and Almost Linear Systems. Ecological Models: Predators and Competitors. Nonlinear Mechanical Systems. 10. 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. 11. Power Series Methods. Introduction and Review of Power Series. Power Series Solutions. Frobenius Series Solutions. Bessel's Equation. References for Further Study. Appendix A: The Existence and Uniqueness of Solutions. Appendix B: Theory of Determinants. Answers to Selected Problems. Index.
Copyright Date
2001
Target Audience
College Audience
Dewey Decimal
515.35
Dewey Edition
23
Illustrated
Yes
Item description from the seller
Seller assumes all responsibility for this listing.
eBay item number:145750522326
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- Feb 26, 2007
Differential Equations and Linear Algebra by C. Edwards