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Linear Algebra A Modern Introduction

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ISBN-10: 0538737719

ISBN-13: 9780538737715

Edition: 3rd 2011

Authors: David Poole

List price: $106.95
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Book details

List price: $106.95
Edition: 3rd
Copyright year: 2011
Publisher: Brooks/Cole
Publication date: 5/5/2011
Binding: Paperback
Pages: 544
Size: 8.50" wide x 11.00" long x 1.25" tall
Weight: 3.036
Language: English

David Poole is Professor of Mathematics at Trent University, where he has been a faculty member since 1984. Dr. Poole has won numerous teaching awards: Trent University's Symons Award for Excellence in Teaching (the university's top teaching award), three merit awards for teaching excellence, a 2002 Ontario Confederation of University Faculty Associations Teaching Award (the top university teaching award in the province), a 2003 3M Teaching Fellowship (the top university teaching award in Canada, sponsored by 3M Canada Ltd.), a 2007 Leadership in Faculty Teaching Award from the province of Ontario, and the Canadian Mathematical Society's 2009 Excellence in Teaching Award. From 2002-2007,…    

The Geometry and Algebra of Vectors
Length and Angle: The Dot Product
Exploration: Vectors and Geometry
Lines and Planes
Exploration: The Cross Product
Systems of Linear Equations
Introduction to Systems of Linear Equations
Exploration: Lies My Computer Told Me
Direct Methods for Solving Linear Systems
Exploration: Partial Pivoting
Exploration: An Introduction to the Analysis of Algorithms
Spanning Sets and Linear Independence
Iterative Methods for Solving Linear Systems
Matrix Operations'
Matrix Algebra
The Inverse of a Matrix
The LU Factorization
Subspaces, Basis, Dimension, and Rank
Introduction to Linear Transformations
Eigenvalues and Eigenvectors
Introduction to Eigenvalues and Eigenvectors
Exploration: Geometric Applications of Determinants
Eigenvalues and Eigenvectors of n � n Matrices
Similarity and Diagonalization
Iterative Methods for Computing Eigenvalues
Applications and the Perron-Frobenius Theorem
Orthogonality in Rn
Orthogonal Complements and Projections
The Gram-Schmidt Process and the QR Factorization
Exploration: The Modified QR Factorization
Exploration: Approximating Eigenvalues with the QR Algorithm
Orthogonal Diagonalization of Symmetric Matrices
Vector Spaces
Vector Spaces and Subspaces
Linear Independence, Basis, and Dimension
Exploration: Magic Squares
Change of Basis
Linear Transformations
The Kernel and Range of a Linear Transformation
The Matrix of a Linear Transformation
Exploration: Tilings, Lattices, and Crystallographic Restriction
Distance and Approximation
Inner Product Spaces
Exploration: Vectors and Matrices with Complex Entries
Norms and Distance Functions
Least Squares Approximation
The Singular Value Decomposition
Key Definitions and Concepts