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Synopsis
Calculus and linear algebra are two dominant themes in contemporary mathematics and its applications. The aim of this book is to introduce linear algebra in an intuitive geometric setting as the study of linear maps and to use these simpler linear functions to study more complicated nonlinear functions. In this way, many of the ideas, techniques, and formulas in the calculus of several variables are clarified and understood in a more conceptual way. After using this text a student should be well prepared for subsequent advanced courses in both algebra and linear differential equations as well as the many applications where linearity and its interplay with nonlinearity are significant. This second edition has been revised to clarify the concepts. Many exercises and illustrations have been included to make the text more usable for students.
Booknews
Expanded and somewhat reorganized new edition of an undergraduate text first published in 1971 (by Prentice-Hall). The approach to the calculus of several variables here taken is via a leisurely tour of linear algebra and of the analytical geometry of Euclidean n-space. Ten chapters, many exercises (with selected answers), good figures and neat general appearance. And attractively priced. But depressingly thick, and rather ponderous in its forward motion. Nor will the student who makes it through to the end have gained any sense that mathematics has a history (a history worth knowing about!), has a literature. (NW) Annotation c. Book News, Inc., Portland, OR (booknews.com)