Applied Linear Algebra

Name: Applied Linear Algebra
Price: 8.85 USD
Availability: InStock
ISBN: 9780131473829

ISBN-10: 0131473824

ISBN-13: 9780131473829

Edition: 2005

Authors: Peter J. Olver, Cheri Shakiban

List price: $209.80

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Description:

For in-depth Linear Algebra courses that focus on applications. This text aims to teach basic methods and algorithms used in modern, real problems that are likely to be encountered by engineering and science students - and to foster understanding of why mathematical techniques work and how they can be derived from first principles. No text goes as far (and wide) in applications. The authors present applications hand in hand with theory, leading students through the reasoning that leads to the important results, and provide theorems and proofs where needed. Because no previous exposure to linear algebra is assumed, the text can be used for a motivated entry-level class as well as advanced…

Book details

List price: $209.80
Copyright year: 2005
Publisher: Prentice Hall PTR
Publication date: 1/10/2005
Binding: Hardcover
Pages: 736
Size: 8.00" wide x 10.00" long x 1.25" tall
Weight: 3.234
Language: English




Linear Algebraic Systems



Solution of Linear Systems



Matrices and Vectors



Gaussian Elimination-Regular Case



Pivoting and Permutations



Matrix Inverses



Transposes and Symmetric Matrices



Practical Linear Algebra



General Linear Systems



Determinants



Vector Spaces and Bases



Vector Spaces



Subspaces



Span and Linear Independence



Bases



The Fundamental Matrix Subspaces



Graphs and Incidence Matrices



Inner Products and Norms



Inner Products



Inequalities



Norms



Positive Definite Matrices



Completing the Square



Complex Vector Spaces



Minimization and Least Squares Approximation



Minimization Problems



Minimization of Quadratic Functions



Least Squares and the Closest Point



Data Fitting and Interpolation



Orthogonality



Orthogonal Bases



The Gram-Schmidt Process



Orthogonal Matrices



Orthogonal Polynomials



Orthogonal Projections and Least Squares



Orthogonal Subspaces



Equilibrium



Springs and Masses



Electrical Networks



Structures



Linearity



Linear Functions



Linear Transformations



Affine Transformations and Isometries



Linear Systems



Adjoints



Eigenvalues



Simple Dynamical Systems



Eigenvalues and Eigenvectors



Eigenvector Bases and Diagonalization



Eigenvalues of Symmetric Matrices



Singular Values



Incomplete Matrices and the Jordan Canonical Form



Linear Dynamical Systems



Basic Solution Methods



Stability of Linear Systems



Two-Dimensional Systems