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Linear Algebra with Applications, 2/E
Otto Bretscher, Colby College

ISBN-10: 0130198579
ISBN-13: 9780130198570

Publisher: Prentice Hall
Copyright: 2001
Format: Cloth; 440 pp
Published: 12/29/2000

This item has been replaced by Linear Algebra with Applications, 4/E.

For courses in Introductory Linear Algebra and Matrix Methods.

With the most geometric presentation now available, this text emphasizes linear transformations as a unifying theme, and enables students to “do” both computational and abstract math in each chapter. A second theme is introduced half way through the text—when eigenvectors are reached—on dynamical systems. It also includes a wider range of problem sets than found in any other text in this market.

NEW - Earlier introduction to vector spaces (“linear spaces”).
- Now introduced in chapter 4. Ex.___

Extensive visualization and geometrical interpretations throughout—E.g., the determinant; the Gram-Schmidt process; the singular value of decomposition; the QR-factorization; and the use of phase portraits for dynamical systems.
- Allows students to see a visual depiction of equations and processes. Ex.___

Avoidance of the “wall of vector spaces.”
- Keeps students from becoming overwhelmed and confused, and prevents them from getting lost and discouraged early in the course. Ex.___

Early, strong introduction to linear transformation. This becomes an underlying theme of the text. All chapters have some theory.
- Makes the discussion of matrix manipulations more meaningful, and easier for students to visualize. Ex.___

More and better problems and exercises than in any other linear algebra text.
- Gives students opportunities to solve routine problems, and more thought-provoking exercises—some abstract and some focusing on applications. Ex.___

After Eigenvalue chapter, a running theme in applying dynamical systems.
- Unifies the presentation and provides motivation for students. Ex.___

Extensive historical references throughout.
- More history in textbook for student relief and motivation. Ex.___

Earlier introduction to vector spaces (“linear spaces”).
- Now introduced in chapter 4. Ex.___

1. Systems of Linear Equations.

2. Linear Transformations.

3. Subspaces of Rⁿ and Their Dimension.

4. Linear Spaces.

5. Orthogonality and Least Squares.

6. Determinants.

7. Eigenvalues and Eigenvectors.

8. Symmetric Matrices and Quadratic Forms.

9. Linear Differential Equations.

Introductory Linear Algebra [MORE RIGOROUS FIRST COURSE] (Mathematics)

Linear Algebra with Applications, 4/E
Bretscher
©2009 | Prentice Hall | Cloth; 504 pp | Instock
ISBN-10: 0136009263 | ISBN-13: 9780136009269
Brief Description | Buy from myPearsonStore

Offering the most geometric presentation available, Linear Algebra with Applications, Fourth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the many techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum. Extensive problem sets keep students involved in the material, while genuine applications for a broad range of sciences prepares them for the methods and models of contemporary scientists. In addition, the wealth and variety of exercise sets enable instructors to design a course to best suit the goals and needs of their students. This revision reflects careful review and appropriate changes to the wording of each idea, while preserving the content structure of the previous edition.

Companion Website - Bretscher, 2/E
Bretscher
©2001 | Prentice Hall | On-line Supplement; 0 pp | Instock
ISBN-10: 0130329185 | ISBN-13: 9780130329189
URL: http://www.prenhall.com/bretscher/

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Companion Website - Bretscher, 2/E
Bretscher
©2001 | Prentice Hall | On-line Supplement; 0 pp | Instock
ISBN-10: 0130329185 | ISBN-13: 9780130329189
URL: http://www.prenhall.com/bretscher/

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