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 ...

Description: Review of plane analytic geometry and trigonometry, functions, limits, differentiation, applications of differentiation, integration, the fundamental theorem of calculus, and applications ...

(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 ...