Abstract
Let f be a real function of two real variables, x and y say. This means that, to each pair x, y in some region in the plane, there corresponds a real number f(x, y). This number may, but need not, be given by a formula, e.g.
. If x, y, z are Cartesian coordinates in three-dimensional space, then the equation z = f(x, y) represents, geometrically, a surface. Some examples are as follows.
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© 1981 B.D. Craven
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Craven, B.D. (1981). Differentiable functions. In: Functions of several variables. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9347-7_1
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DOI: https://doi.org/10.1007/978-94-010-9347-7_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-412-23340-1
Online ISBN: 978-94-010-9347-7
eBook Packages: Springer Book Archive