THE authors of this volume have taken for their aim the axiom that the best preparation for the calculus is a suitable course in co-ordinate geometry. The text is thus divided into two sections: the ...

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(1) THE theory of maxima and minima contains pitfalls into which have fallen such well-known mathematicians as Lagrange, Bertrand, Serret, and Todhunter. A peculiar interest, therefore, is attached to ...