1st Edition
Bernard Kolman
David Hill
1999 568
pages (est.) 0130-85199-X (Hardback)
For first
courses in Linear Algebra or Matrix Theory. This introductory text offers a fine balance
between abstraction/theory and computational skills. While vector spaces come early, this
is not a heavy duty theory text. This edition is more applied than ever before.
* NEW -
Greater use of linear combinations-of-columns approach - As a running theme throughout the
book.
* NEW - More exercises, at all levels - Some are more open-ended, alowing for exploration
and discovery.
* NEW - More geometry added - i.e., offers a stronger emphasis on the geometrical
presentation of basic ideas and supports this emphasis with an increased use of
illustrative figures.
* NEW - A chapter on MATLAB provides an introduction to MATLAB. There is also a chapter
consisting of exercises that are specially designed to be solved using MATLAB.
* Specially marked, software-neutral, computer exercises - These optional problems are
found throughout chapters 1-7 and enable use of Maple, etc. as opposed to chapter 9, which
focuses on MATLAB exclusively.
1. Linear
Equations and Matrices.
2. Real Vector Spaces.
3. Inner Product Spaces.
4. Linear Transformations and Matrices.
5. Determinants.
6. Eigenvalues and Eigenvectors.
7. Differential Equations (Optional).
8. MATLAB for Linear Algebra.
9. MATLAB Exercises.
Appendix A: Preliminaries. Sets. Functions.
Appendix B: Complex Numbers.
Complex Numbers. Complex Numbers in Linear Algebra.
Answers to Odd-Numbered Exercises
Index
