Abstract
We view functions of several variables as functions of points in space. This appeals to our geometric intuition, and also relates such functions more easily with the theory of vectors. The gradient will appear as a natural generalization of the derivative. In this chapter we are mainly concerned with basic definitions and notions. We postpone the important theorems to the next chapter.
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© 1986 Springer Science+Business Media New York
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Lang, S. (1986). Functions of Several Variables. In: A First Course in Calculus. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8532-3_17
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DOI: https://doi.org/10.1007/978-1-4419-8532-3_17
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6428-6
Online ISBN: 978-1-4419-8532-3
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