Warehouse Stock Clearance Sale

Grab a bargain today!

Elementary Linear Algebra with Applications


Product Description
Product Details

Table of Contents

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; Rules of Matrix Arithmetic. 1.5 Elementary Matrices and a Method for Finding A-1. 1.6 Further Results on Systems of Equations and Invertibility. 1.7 Diagonal, Triangular, and Symmetric Matrices. Chapter 2. Determinants. 2.1 Determinants by Cofactor Expansion. 2.2 Evaluating Determinants by Row Reduction. 2.3 Properties of the Determinant Function. 2.4 A Combinatorial Approach to Determinants. Chapter 3. Vectors in 2 Space and 3-Space. 3.1 Introduction to Vectors (Geometric). 3.2 Norm of a Vector; Vector Arithmetic. 3.3 Dot Product; Projections. 3.4 Cross Product. 3.5 Lines and Planes in 3-Space. Chapter 4. Euclidean Vector Spaces. 4.1 Euclidean n-Space. 4.2 Linear Transformations from Rn to Rm. 4.3 Properties of Linear Transformations from Rn to Rm. 4.4 Linear Transformations and Polynomials. Chapter 5. General Vector Spaces. 5.1 Real Vector Spaces. 5.2 Subspaces. 5.3 Linear Independence. 5.4 Basis and Dimension. 5.5 Row Space, Column Space, and Nullspace. 5.6 Rank and Nullity. Chapter 6. Inner Product Spaces. 6.1 Inner Products. 6.2 Angle and Orthogonality in Inner Product Spaces. 6.3 Orthonormal Bases: Gram-Schmidt Prodcess; QR-Decomposition. 6.4 Best Approximation; Least Squares. 6.5 Change of Basis. 6.6 Orthogonal Matrices. Chapter 7. Eigenvalues, Eigenvectors. 7.1 Eigenvalues and Eigenvectors. 7.2 Diagonalization. 7.3 Orthogonal Diagonalization. Chapter 8. Linear Transformations. 8.1 General Linear Transformations. 8.2 Kernel and range. 8.3 Inverse Linear Transformations. 8.4 Matrices of General Linear Transformations. 8.5 Similarity. 8.6 Isomorphism. Chapter 9. Additional topics. 9.1 Application to Differential Equations. 9.2 Geometry and Linear Operators on R2. 9.3 Least Squares Fitting to Data. 9.4 Approximation Problems; Fourier Series. 9.5 Quadratic Forms. 9.6 Diagonalizing Quadratic Forms; Conic Sections. 9.7 Quadric Surfaces. 9.8 Comparison of Procedures for Solving Linear Systems. 9.9 LU-Decompositions. Chapter 10. Complex Vector Spaces. 10.1 Complex Numbers. 10.2 Division of Complex Numbers. 10.3 Polar Form of a Complex Number. 10.4 Complex Vector Spaces. 10.5 Complex Inner Product Spaces. 10.6 Unitary Normal, and Hermitian Matrices. Chapter 11. Applications of Linear Algebra. 11.1 Constructing Curves and Surfaces through Specified Points. 11.2 Electrical Networks. 11.3 Geometric Linear Programming. 11.4 The Earliest Applications of Linear Algebra. 11.5 Cubic Spline Interpolation. 11.6 Markov Chains. 11.7 Graph Theory. 11.8 Games of Strategy. 11.9 Leontief Economic Models. 11.10 Forest Management. 11.11 Computer Graphics. 11.12 Equilibrium Temperature Distributions. 11.13 Computed Tomography. 11.14 Fractals. 11.15 Chaos. 11.16 Cryptography. 11.17 Genetics. 11.18 Age-Specific Population Growth. 11.19 Harvesting of Animal Populations. 11.20 A Least Squares Model for Human Hearing. 11.21 Warps and Morphs. Answers to Exercises. Index.

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
Home » Books » Science » Mathematics » Algebra » Linear
People also searched for
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 8% commission by selling Elementary Linear Algebra with Applications on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Back to top