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Elementary linear algebra

Author: Howard Anton
Publisher: Hoboken, NJ : Wiley, [2010]. ©2010
Edition/Format:   Print book : English : 10th editionView all editions and formats
Summary:
Abstract: When it comes to learning linear algebra, engineers trust Anton. The tenth edition presents the key concepts and topics along with engaging and contemporary applications. The chapters have been reorganized to bring up some of the more abstract topics and make the material more accessible. More theoretical exercises at all levels of difficulty are integrated throughout the pages, including true/false  Read more...
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Genre/Form: Textbooks
Document Type: Book
All Authors / Contributors: Howard Anton
ISBN: 9780470458211 0470458216 9780470432051 0470432055
OCLC Number: 463637219
Description: xv, 568 pages : illustrations ; 27 cm
Contents: 1. Systems of liner equations and matrices --
Introduction to systems of linear equations --
Gaussian elimination --
Matrices and matrix operations --
Inverses --
Algebraic properties of matrices --
Elementary matrices --
More on linear systems and invertible matrices --
Diagonal, triangular, and symmetric matrices --
Applications of linear systems --
Leontief input-output models --
2. Determinants --
Cofactor expansion --
Row reduction --
Cramer's Rule --
3. Euclidean vector spaces --
Vectors in 2-Space, 3-Space and n-Space --
Norm, dot product, and distance in Rn --
Orthogonality --
Geometry of linear systems --
Cross product --
4. General vector spaces --
Real vector spaces --
Subspaces --
Linear independence --
Coordinates and basis --
Dimension --
Change of basis --
Row space, column space, and null space --
Rank, nullity, and the fundamental matrix spaces --
Matrix transformations --
Geometry of matrix operators --
Dynamical systems and Markov Chains --
5. Eigenvalues and eigenvectors --
Eigenvalues and eigenvectors --
Diagonalization --
Complex vector spaces --
Differential equations --
6. Inner product spaces --
Inner products --
Angel and orthogonality in inner product spaces --
Gram-Schmidt Process --
QR-decomposition --
Best approximation --
Least squares --
Least squares fitting to data --
Function approximation --
Fourier Series --
7. Diagonalization and quadratic forms --
Orthogonal matrices --
Orthogonal diagonalization --
Quadratic forms --
Optimization using quadratic forms --
Hermitian, unitary, and normal matrices --
8. Linear transformations --
General linear transformations --
Isomorphism --
Compositions and inverse transformations --
Matrices for general linear transformations --
Similarity --
9. Numerical methods --
LU-decompositions --
The power method --
Internet search engines --
Comparison of procedures for solving linear systems --
Singular value decomposition --
Data compression using singular value decomposition --
Appendix A. How to read theorems --
Appendix B. Complex numbers.
Responsibility: Howard Anton.

Abstract:

Offers an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. This title intends to present the fundamentals of linear algebra.  Read more...

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