Book description
Elementary Linear Algebra: Applications Version, 11th Edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.
Table of contents
 COVER
 TITLE PAGE
 About the Author
 Preface

CHAPTER 1 Systems of Linear Equations and Matrices
 1.1 Introduction to Systems of Linear Equations
 1.2 Gaussian Elimination
 1.3 Matrices and Matrix Operations
 1.4 Inverses; Algebraic Properties of Matrices
 1.5 Elementary Matrices and a Method for Finding A−1
 1.6 More on Linear Systems and Invertible Matrices
 1.7 Diagonal,Triangular, and Symmetric Matrices
 1.8 MatrixTransformations
 1.9 Applications of Linear Systems
 1.10 Leontief InputOutput Models
 CHAPTER 2 Determinants
 CHAPTER 3 Euclidean Vector Spaces

CHAPTER 4 General Vector Spaces
 4.1 Real Vector Spaces
 4.2 Subspaces
 4.3 Linear Independence
 4.4 Coordinates and Basis
 4.5 Dimension
 4.6 Change of Basis
 4.7 Row Space, Column Space, and Null Space
 4.8 Rank, Nullity, and the Fundamental Matrix Spaces
 4.9 Basic Matrix Transformations in R2 and R3
 4.10 Properties of Matrix Transformations
 4.11 Geometry of Matrix Operators on R2
 CHAPTER 5 Eigenvalues and Eigenvectors
 CHAPTER 6 Inner Product Spaces
 CHAPTER 7 Diagonalization and Quadratic Forms
 CHAPTER 8 Diagonalization and Quadratic Forms
 CHAPTER 9 Numerical Methods

CHAPTER 10 Diagonalization and Quadratic Forms
 10.1 Constructing Curves and Surfaces Through Specified Points
 10.2 The Earliest Applications of Linear Algebra
 10.3 Cubic Spline Interpolation
 10.4 Markov Chains
 10.5 GraphTheory
 10.6 Games of Strategy
 10.7 Leontief Economic Models
 10.8 Forest Management
 10.9 Computer Graphics
 10.10 EquilibriumTemperature Distributions
 10.11 ComputedTomography
 10.12 Fractals
 10.13 Chaos
 10.14 Cryptography
 10.15 Genetics
 10.16 AgeSpecific Population Growth
 10.17 Harvesting of Animal Populations
 10.18 A Least Squares Model for Human Hearing
 10.19 Warps and Morphs
 10.20 Internet Search Engines
 APPENDIX A Working with Proofs
 APPENDIX B Complex Numbers
 Answers to Exercises
 Index
 APPLICATIONS AND HISTORICAL TOPICS
 End User License Agreement
Product information
 Title: Elementary Linear Algebra, 11th Edition
 Author(s):
 Release date: November 2013
 Publisher(s): Wiley
 ISBN: 9781118434413
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