A review copy of this book will be sent to the head of the Mathematics Department at all four-year colleges and universities by March, 1998.
NOTE: If you have the Adobe Acrobat Reader, click on the pdf version of the file you want to view; otherwise, click on the html version of the file. (You can download and then install the Adobe Acrobat Reader before proceeding, if you wish.)
TABLE OF CONTENTS (contents.html or contents.pdf)
APPLICATIONS--Each chapter
begins with a realistic problem (problem.html or problem.pdf) to motivate the
need for learning the subsequent material. Appropriate
theory and technology are then used at the end of the
chapter to solve the opening problem (solution.html or solution.pdf). Related
project exercises (projexer.html or projexer.pdf) involve the
student actively in technology-based problem solving--a
feature students have responded to enthusiastically in
class testing. Numerous other applications are drawn from
physics, statistics, business, and computer science to
illustrate where and how the techniques of linear algebra
apply. THEORY--Virtually all of the standard
theorems in a first course are included. Solow’s
unique systematic approach to explaining proofs(proof.html or proof.pdf)--presented in detail in
Appendix A--makes this challenging material easier to
follow. REASONING--A unique feature found in no
other Linear Algebra text is an explicit discussion of
general thinking processes that arise not only in
Linear Algebra, but also in all advanced mathematics
courses. These thinking processes-- summarized in Appendix B and
easily identified throughout the book by a keys icon-- include:| Closed-form Solutions | Numerical-method Solutions |
| (closed.html or closed.pdf) | (numer.html or numer.pdf) |
| Unification | Generalization |
| (unifica.html or unifica.pdf) | (general.html or general.pdf) |
| Abstraction | Axiomatic Systems |
| (abstr.html or abstr.pdf) | (axiom.html or axiom.pdf) |
| Proof Techniques | Understanding Definitions |
| (proof.html or proof.pdf) | (def.html or def.pdf) |
| Identifying Similarities and Differences | Translating Visual Images to Symbolic Form |
| (simdif.html or simdif.pdf) | (trans.html or trans.pdf) |
Title: The Keys to Linear Algebra: Applications, Theory, and Reasoning
Author: Daniel Solow
ISBN: 0-9644519-2-1
Order from:
BookMasters, Inc. P.O. Box 388 1444 St. Route 42 Phone: (800) 247-6553 Ashland, OH 44805 Fax: (419) 281-6883 Price: About 25% less than comparable texts (the actual price is determined by your local bookstore).
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