Introductory Linear Algebra with Applications

ISBN-10: 0132663139
ISBN-13: 9780132663137
Edition: 6th 1997
List price: $96.00
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Description: This is the easier of Kolman's two texts: it has more applications and vector spaces come later in the text. Major revision. New edition is most technology friendly book in this market. Last chapter is on numerical techniques using MATLAB. Also has  More...

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Book details

List price: $96.00
Edition: 6th
Copyright year: 1997
Publisher: Prentice Hall PTR
Publication date: 12/16/1996
Binding: Hardcover
Pages: 696
Size: 8.27" wide x 9.57" long x 1.18" tall
Weight: 2.948
Language: English

This is the easier of Kolman's two texts: it has more applications and vector spaces come later in the text. Major revision. New edition is most technology friendly book in this market. Last chapter is on numerical techniques using MATLAB. Also has superb MATLAB manual by Hill/Zitarelli ('96) that should be sampled to anyone interested in technology.

Introductory Linear Algebra
Linear Equations and Matrices
Linear Systems
Matrices
Dot Product and Matrix Multiplication
Properties of Matrix Operations
Graph Theory (Optional)
Solutions of Linear Systems of Equations
Electrical Circuits (Optional)
Markov Chains (Optional)
The Inverse of a Matrix
Linear Economic Models (Optional)
Wavelets (Optional)
LU-Factorization (Optional)
Determinants
Definition and Properties
Cofactor Expansion and Applications
Determinants from a Computational Point of View
Vectors in R2 and R3
Vectors in the Plane
N-Vectors
Introduction to Linear Transformations
Computer Graphics
Computer Graphics (Optional)
Cross Products in R3 (Optional)
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 in Rn
QR-Factorization (Optional)
Orthogonal Complements
Least Squares (Optional)
Eigenvalues and Eigenvectors
Eigenvalues and Eigenvectors
Diagonalization and Similar Matrices
Diagonalization and Symmetric Matrices
Linear Transformations and Matrices
Definition and Examples
The Kernel and Range of a Linear Transformation
The Matrix of a Linear Transformation
Cumulative Review of Part I
OTHER APPLICATIONS
Linear Programming
The Linear Programming Problem
Geometric Solution
The Simplex Method
Duality
The Theory of Games
Applications of Eigenvalues and Eigenvectors
The Fibonacci Sequence
Differential Equations (Calculus Required)
Dynamical Systems (Calculus Required)
Intro to Fractals
Quadratic Forms
Conic Sections
Quadric Surfaces
Introduction to MATLAB
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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