Linear Algebra and Differential Equations

ISBN-10: 0201662124
ISBN-13: 9780201662122
Edition: 2002
List price: $117.80 Buy it from $14.96 Rent it from $31.90
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Description: Linear Algebra and Differential Equations has been written for a one-semester combined linear algebra and differential equations course, yet it contains enough material for a two-term sequence in linear algebra and differential equations. By  More...

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Book details

List price: $117.80
Copyright year: 2002
Publisher: Addison Wesley
Publication date: 7/24/2001
Binding: Paperback
Pages: 480
Size: 7.75" wide x 9.25" long x 0.75" tall
Weight: 2.112
Language: English

Linear Algebra and Differential Equations has been written for a one-semester combined linear algebra and differential equations course, yet it contains enough material for a two-term sequence in linear algebra and differential equations. By introducing matrices, determinants, and vector spaces early in the course, the authors are able to fully develop the connections between linear algebra and differential equations. The book is flexible enough to be easily adapted to fit most syllabi, including courses that cover differential equations first. Technology is fully integrated where appropriate, and the text offers fresh and relevant applications to motivate student interest.

Matrices and Determinants
Systems of Linear Equations
Matrices and Matrix Operations
Inverses of Matrices
Special Matrices and Additional Properties of Matrices
Determinants
Further Properties of Determinants
Proofs of Theorems on Determinants
Vector Spaces
Vector Spaces
Subspaces and Spanning Sets
Linear Independence and Bases
Dimension; Nullspace, Rowspace, and Column Space
Wronskians
First Order Ordinary Differential Equations
Introduction to Differential Equations
Separable Differential Equations
Exact Differential Equations
Linear Differential Equations
More Techniques for Solving First Order Differential Equations
Modeling With Differential Equations
Reduction of Order
The Theory of First Order Differential Equations
Numerical Solutions of Ordinary Differential Equations
Linear Differential Equations
The Theory of Higher Order Linear Differential Equations
Homogenous Constant Coefficient Linear Differential Equations
The Method of Undetermined Coefficients
The Method of Variation of Parameters
Some Applications of Higher Order Differential Equations
Linear Transformations and Eigenvalues and Eigenvectors
Linear Transformations
The Algebra of Linear Transformations; Differential Operators and Differential Equations
Matrices for Linear Transformations
Eigenvectors and Eigenvalues of Matrices
Similar Matrices, Diagonalization, and Jordan Canonical Form
Eigenvectors and Eigenvalues of Linear Transformations
Systems of Differential Equations
The Theory of Systems of Linear Differential Equations
Homogenous Systems with Constant Coefficients: The Diagonalizable Case
Homogenous Systems with Constant Coefficients: The Nondiagonalizable Case
Nonhomogenous Linear Systems
Converting Differential Equations to First Order Systems
Applications Involving Systems of Linear Differential Equations
2x2 Systems of Nonlinear Differential Equations
The Laplace Transform
Definition and Properties of the Laplace Transform
Solving Constant Coefficient Line

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