Your textbook…
Cover image for Applied Linear Algebra
View larger cover

Applied Linear Algebra

By Peter J. Olver, Cheri Shakiban

ISBN-10: 0-13-147382-4

ISBN-13: 978-0-13-147382-9What's this?

Published by Addison-Wesley

© 2005

Pub. Date: Jan 10, 2005

Format: Cloth

Enhance your learning experience with text-specific study materials.

Student Solutions Manual

ISBN-10: 0-13-147384-0

$36.67 | Add to Cart

Additional Course Materials

Visualizing Linear Algebra Using Maple

ISBN-10: 0-13-041816-1

$38.60 | Add to Cart

Table of Contents



Chapter 1. Linear Algebraic Systems

1.1. Solution of Linear Systems

1.2. Matrices and Vectors

1.3. Gaussian Elimination—Regular Case

1.4. Pivoting and Permutations

1.5. Matrix Inverses

1.6. Transposes and Symmetric Matrices

1.7. Practical Linear Algebra

1.8. General Linear Systems

1.9. Determinants



Chapter 2. Vector Spaces and Bases

2.1. Vector Spaces

2.2. Subspaces

2.3. Span and Linear Independence

2.4. Bases

2.5. The Fundamental Matrix Subspaces

2.6. Graphs and Incidence Matrices



Chapter 3. Inner Products and Norms

3.1. Inner Products

3.2. Inequalities

3.3. Norms

3.4. Positive Definite Matrices

3.5. Completing the Square

3.6. Complex Vector Spaces



Chapter 4. Minimization and Least Squares Approximation

4.1. Minimization Problems

4.2. Minimization of Quadratic Functions

4.3. Least Squares and the Closest Point

4.4. Data Fitting and Interpolation



Chapter 5. Orthogonality

5.1. Orthogonal Bases

5.2. The Gram-Schmidt Process

5.3. Orthogonal Matrices

5.4. Orthogonal Polynomials

5.5. Orthogonal Projections and Least Squares

5.6. Orthogonal Subspaces



Chapter 6. Equilibrium

6.1. Springs and Masses

6.2. Electrical Networks

6.3. Structures



Chapter 7. Linearity

7.1. Linear Functions

7.2. Linear Transformations

7.3. Affine Transformations and Isometries

7.4. Linear Systems

7.5. Adjoints



Chapter 8. Eigenvalues

8.1. Simple Dynamical Systems

8.2. Eigenvalues and Eigenvectors

8.3. Eigenvector Bases and Diagonalization

8.4. Eigenvalues of Symmetric Matrices

8.5. Singular Values

8.6. Incomplete Matrices and the Jordan Canonical Form



Chapter 9. Linear Dynamical Systems

9.1. Basic Solution Methods

9.2. Stability of Linear Systems

9.3. Two-Dimensional Systems

9.4. Matrix Exponentials

9.5. Dynamics of Structures

9.6. Forcing and Resonance



Chapter 10. Iteration of Linear Systems

10.1. Linear Iterative Systems

10.2. Stability

10.3. Matrix Norms

10.4. Markov Processes

10.5. Iterative Solution of Linear Systems

10.6. Numerical Computation of Eigenvalues



Chapter 11. Boundary Value Problems in One Dimension

11.1. Elastic Bars

11.2. Generalized Functions and the Green's Function

11.3. Adjoints and Minimum Principles

11.4. Beams and Splines

11.5. Sturm-Liouville Boundary Value Problems

11.6. Finite Elements

This textbook is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course.

Package ISBN-13: 9780131557499

$145.33 | Add to Cart

This package contains:

  • Applied Linear Algebra
    Peter J. Olver, Cheri Shakiban | ©2005 | Cloth; 736 pages
  • ATLAST Manual, 2nd Edition
    Steven J Leon | ©2003 | Paper; 270 pages

Package ISBN-13: 9780131557475

$138.67 | Add to Cart

This package contains:

  • Applied Linear Algebra
    Peter J. Olver, Cheri Shakiban | ©2005 | Cloth; 736 pages
  • Linear Algebra Labs with MATLAB, 3rd Edition
    David Hill, David Zitarelli | ©2004 | Paper; 336 pages

Package ISBN-13: 9780131351066

$157.00 | Add to Cart

This package contains:

  • Applied Linear Algebra
    Peter J. Olver, Cheri Shakiban | ©2005 | Cloth; 736 pages
  • Student Solutions Manual
    Peter J. Olver, Cheri Shakiban | ©2005 | Paper; 178 pages

Package ISBN-13: 9780131557529

$138.67 | Add to Cart

This package contains:

  • Applied Linear Algebra
    Peter J. Olver, Cheri Shakiban | ©2005 | Cloth; 736 pages
  • Maple Supplement for Linear Algebra, A
    John Maloney | ©2005 | Paper; 192 pages

Package ISBN-13: 9780131557512

$138.67 | Add to Cart

This package contains:

  • Applied Linear Algebra
    Peter J. Olver, Cheri Shakiban | ©2005 | Cloth; 736 pages
  • Visualizing Linear Algebra Using Maple
    Sandra Keith | ©2001 | Paper; 250 pages

Textbook

List Price: $138.67

Add to Shopping Cart

Members pay only $124.80

Free FedEx Ground Shipping.