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Elementary Linear Algebra 11e by Howard Anton INTERNATIONAL EDITION

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Item specifics

Condition
New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Subject Area
Linear Algebra
Features
INTERNATIONAL PAPERBACK EDITION
ISBN
9781118473504

About this product

Product Identifiers

Publisher
Wiley & Sons, Incorporated, John
ISBN-10
1118473507
ISBN-13
9781118473504
eBay Product ID (ePID)
201628262

Product Key Features

Number of Pages
592 Pages
Language
English
Publication Name
Elementary Linear Algebra
Publication Year
2013
Subject
Algebra / Linear
Type
Textbook
Author
Howard Anton
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
1 in
Item Weight
43.3 Oz
Item Length
10.1 in
Item Width
8.7 in

Additional Product Features

Edition Number
11
Intended Audience
College Audience
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
512/.5
Table Of Content
C H A P T E R 1 Systems of Linear Equations andMatrices 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 Matrix Transformations 1.9 Applications of Linear Systems ? Network Analysis (Traffic Flow) ? Electrical Circuits ? Balancing Chemical Equations ? Polynomial Interpolation 1.10 Application: Leontief Input-Output Models C H A P T E R 2 Determinants 2.1 Determinants by Cofactor Expansion 2.2 Evaluating Determinants by Row Reduction 2.3 Properties of Determinants; Cramer?s Rule C H A P T E R 3 Euclidean Vector Spaces 3.1 Vectors in 2-Space, 3-Space, and n -Space 3.2 Norm, Dot Product, and Distance in R n 3.3 Orthogonality 3.4 The Geometry of Linear Systems 3.5 Cross Product C H A P T E R 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 R 2 and R 3 4.10 Properties of Matrix Transformations 4.11 Application: Geometry of Matrix Operators on R 2 C H A P T E R 5 Eigenvalues and Eigenvectors 5.1 Eigenvalues and Eigenvectors 5.2 Diagonalization 5.3 Complex Vector Spaces 5.4 Application: Differential Equations 5.5 Application: Dynamical Systems and Markov Chains C H A P T E R 6 Inner Product Spaces 6.1 Inner Products 6.2 Angle and Orthogonality in Inner Product Spaces 6.3 Gram?Schmidt Process; QR -Decomposition 6.4 Best Approximation; Least Squares 6.5 Application: Mathematical Modeling Using LeastSquares 6.6 Application: Function Approximation; FourierSeries C H A P T E R 7 Diagonalization and Quadratic Forms 7.1 Orthogonal Matrices 7.2 Orthogonal Diagonalization 7.3 Quadratic Forms 7.4 Optimization Using Quadratic Forms 7.5 Hermitian, Unitary, and Normal Matrices C H A P T E R 8 General Linear Transformations 8.1 General Linear Transformation 8.2 Compositions and Inverse Transformations 8.3 Isomorphism 8.4 Matrices for General Linear Transformations 8.5 Similarity C H A P T E R 9 Numerical Methods 9.1 LU -Decompositions 9.2 The Power Method 9.3 Comparison of Procedures for Solving Linear Systems 9.4 Singular Value Decomposition 9.5 Application: Data Compression Using Singular ValueDecomposition A P P E N D I X A Working with Proofs A P P E N D I X B Complex Numbers Answers to Exercises Index
Synopsis
Elementary Linear Algebra 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.
LC Classification Number
QA184.2.A57 2014

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