Practical curve tracing, with chapters on differentiation and integration

ABSTRACT THE methods employed in this book, which presents an attractive appearance, are almost entirely independent of the aid of general mathematical principles. For instance, the form of

tke graph of _y_ = _ax_ + _b_ and its dependence on _a, b_ are explained by plotting graphs of the equations obtained by varying _a_ while _b_ remains constant, and then those obtained by

varying _b_ while _a_ remains constant Naturally greater difficulties occur in handling the equations _y_ = _ax_2 + _bx_ + _c, y_ = _ax_3 + _bx_ + _c_, &c., by the same method. Inexpert

mathematical students of the type for whom the author writes find it very hard to get hold of the notion of a parameter, and a great deal could certainly be done by adopting the plan

indicated above, and steadily followed in this book. Even the ordinary student of analytical geometry would prob ably get at “the facts of the case” sooner if he ap proached, for example,

the equation _x_2 + _y_2 - _ax_ - _b_ = 0 by drawing graphs of the circles of the specified system, keeping b a positive constant and giving a various values, then keeping _b_ a negative

constant and varying _a_. Practical Curve Tracing, with Chapters on Differentiation and Integration. By R. Howard Duncan. Pp. vii + 137. (London: Longmans, Green and Co., 1910.) Price 5_s_.

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ARTICLE P., P. _Practical Curve Tracing, with Chapters on Differentiation and Integration_ . _Nature_ 83, 423 (1910). https://doi.org/10.1038/083423a0 Download citation * Issue Date: 09 June

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