Mansfield L.E. Linear Algebra with Geometric Applications

New York Marcel Dekker, Inc., 1976. — 496 p.Intermediary text for undergraduates that utilizes a more theoretical approach that not only presents computational techniques but also clarifies what it means to write a proof.Linear Algebra with Geometric Applications was developed as a text for a sophomore level, introductory course from dittoed material used by several classes. Very little mathematical background is assumed aside from that obtained in the .usual high school algebra and geometry courses. Although a few examples are drawn from the calculus, they are not essential and may be skipped if one is unfamiliar with the ideas. This means that very little mathematical sophistication is required. However, a major objective of the text is to develop one's mathematical maturity and convey a sense of what constitutes modern mathematics. This can be accomplished by determining how one goes about solving problems and what constitutes a proof, while mastering computational techniques and the underlying concepts. The study of linear algebra is well suited to this task for it is based on the simple arithmetic properties of addition and multiplication.