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Introductory Linear Algebra An Applied First Course

ISBN-10: 0131437402
ISBN-13: 9780131437401
Edition: 8th 2005
List price: $144.00
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Description: This book presents an introduction to linear algebra and to some of its significant applications. It covers the essentials of linear algebra (including Eigenvalues and Eigenvectors) and shows how the computer is used for applications.Emphasizing the  More...

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Book details

List price: $144.00
Edition: 8th
Copyright year: 2005
Publisher: Prentice Hall PTR
Publication date: 8/2/2004
Binding: Hardcover
Pages: 768
Size: 8.25" wide x 10.25" long x 0.75" tall
Weight: 3.696

This book presents an introduction to linear algebra and to some of its significant applications. It covers the essentials of linear algebra (including Eigenvalues and Eigenvectors) and shows how the computer is used for applications.Emphasizing the computational and geometrical aspects of the subject, this popular book covers the following topics comprehensively but not exhaustively: linear equations and matrices and their applications; determinants; vectors and linear transformations; real vector spaces; eigenvalues, eigenvectors, and diagonalization; linear programming; and MATLAB for linear algebra.Its useful and comprehensive appendices make this an excellent desk reference for anyone involved in mathematics and computer applications.

David Hill lives in Los Angeles & Mississippi. "Sacred Dust" won the Commonwealth Club of California First Work of Fiction award.

Linear Equations and Matrices
Linear Systems
Matrices
Dot Product and Matrix Multiplication
Properties of Matrix Operations
Matrix Transformations
Solutions of Linear Systems of Equations
The Inverse of a Matrix
LU-Factorization (Optional)
Applications of Linear Equations and Matrices (Optional)
An Introduction to Coding
Computer Graphics
Graph Theory
Electrical Circuits
Markov Chains
Linear Economic Models
Introduction to Wavelets
Determinants
Definition and Properties
Cofactor Expansion and Applications
Determinants from a Computational Point of View
Vectors inRn
Vectors in the Plane
n-Vectors
Linear Transformations
Applications of Vectors inR2andR3(Optional)
Cross Products inR3
Lines and Planes
Real Vector Spaces
Real Vector Spaces
Subspaces
Linear Independence
Basis and Dimension
Homogeneous Systems
The Rank of a Matrix and Applications
Coordinates and Change of Basis
Orthonormal Bases inRn
Orthogonal Complements
Applications of Real Vector Spaces (Optional)
QR-Factorization
Least Square Lines
More on Coding
Eigenvalues, Eigenvectors, and Diagonalization
Eigenvalues and Eigenvectors
Diagonalization and Similar Matrices
Diagonalization of Symmetric Matrices
Applications of Eigenvalues and Eigenvectors (Optional)
The Fibonacci Sequence
Differential Equations (Calculus Required)
Dynamical Systems (Calculus Required)
Quadratic Forms
Conic Sections
Quadric Surfaces
Linear Transformations and Matrices
Definition and Examples
The Kernel and Range of a Linear Transformation
The Matrix of a Linear Transformation
Introduction to Fractals (Optional)
Cumulative Review of Introductory Linear Algebra
Linear Programming (Optional)
The Linear Programming Problem; Geometric Solution
The Simplex Method
Duality
The Theory of Games
MATLAB for Linear Algebra
Input and Output in MATLAB
Matrix Operations in MATLAB
Matrix Powers and Some Special Matrices
Elementary Row Operations in MATLAB
Matrix Inverses in MATLAB
Vectors in MATLAB
Applications of Linear Combinations in MATLAB
Linear Transformations in MATLAB
MATLAB Command Summary
Complex Numbers
Complex Numbers
Complex Numbers in Linear Algebra
Further Directions
Inner Product Spaces (Calculus Required)
Composite and Invertible Linear Transformations
Answers to Odd-Numbered Exercises and Chapter Tests
Index

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