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.
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