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Linear Algebra and Differential Equations 1st Editionby Gary Peterson (Author),
US $85.00
ApproximatelyS$ 109.25
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Condition:
Very Good
A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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Located in: Daly City, California, United States
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Estimated between Sat, 30 Aug and Sat, 6 Sep to 94104
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eBay item number:224554864452
Item specifics
- Condition
- Subject Area
- Linear Algebra
- Features
- 1st Edition
- ISBN
- 9780201662122
- EAN
- 9780201662122
About this product
Product Identifiers
Publisher
Pearson Education
ISBN-10
0201662124
ISBN-13
9780201662122
eBay Product ID (ePID)
1913626
Product Key Features
Number of Pages
480 Pages
Language
English
Publication Name
Linear Algebra and Differential Equations
Subject
Algebra / Linear, Differential Equations / General, Algebra / General
Publication Year
2001
Type
Textbook
Subject Area
Mathematics
Format
Trade Paperback
Dimensions
Item Height
1.1 in
Item Weight
28.8 Oz
Item Length
9.1 in
Item Width
7.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
2001-024930
Illustrated
Yes
Table Of Content
1. 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. 2. Vector Spaces. Vector Spaces. Subspaces and Spanning Sets. Linear Independence and Bases. Dimension; Nullspace, Rowspace, and Column Space. Wronskians. 3. 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. 4. 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. 5. 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. 6 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. 7. The Laplace Transform. Definition and Properties of the Laplace Transform. Solving Constant Coefficient Linear Initial Value Problems with Laplace Transforms. Step Functions, Impulse Functions and the Delta Function. Convolution Integrals. Systems of Linear Differential Equations. 8. Power Series Solutions to Linear Differential Equations. Introduction to Power Series Solutions. Series Solutions for Second Order Linear Differential Equations. Euler Type Equations. Series Solutions Near a Regular Singular Point. 9. Inner Product Spaces. Inner Product Spaces. Orthonormal Bases. Schur''s Theorem and Symmetric Matrices. Answers to Odd-Numbered Exercises. Index of Maple Commands. Index.
Synopsis
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 separate courses that that cover linear algebra in the first followed by differential equations in the second. Technology is fully integrated where appropriate, and the text offers fresh and relevant applications to motivate student interest., This book 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; Vector Spaces; First Order Ordinary Differential Equations; Linear Differential Equations; Linear Transformations and Eigenvalues and Eigenvectors; Systems of Differential Equations; The Laplace Transform; Power Series Solutions to Linear Differential Equations; Inner Product Spaces For all readers interested in linear algebra and differential equations., This book 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. KEY TOPICS: Matrices and Determinants; Vector Spaces; First Order Ordinary Differential Equations; Linear Differential Equations; Linear Transformations and Eigenvalues and Eigenvectors; Systems of Differential Equations; The Laplace Transform; Power Series Solutions to Linear Differential Equations; Inner Product Spaces MARKET: For all readers interested in linear algebra and differential equations.
LC Classification Number
QA184.2.P48 2002
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