Publisher's Synopsis
Excerpt from The Elements of the Differential Calculus: Comprehending the General Theory of Curve Surfaces, and of Curves of Double Curvature; Intended for the Use of Mathematical Students in Schools and Universities
The Fourth Chapter is on Taylor's theorem, which makes known the actual development of the function f (a: it) according to the form established in the second chapter. From this theorem are de rived commodious expressions for the total differential coefficient when the function is complicated, and whether its form be explicit or implicit; the whole being illustrated by a variety of examples.
The Fifth Chapter contains the complete theory of vanishing frac tions.
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