TY - BOOK AU - Granville,William Anthony AU - Smith,Percey F. AU - Longley,William Raymond TI - Elements of the differential and integral calculus T2 - Mathematical texts for colleges, ed. by P.F. Smith AV - QA303 .G77 1934 U1 - 517.1 PY - 1934/// CY - Boston, New York [etc.] PB - Ginn and Co. KW - Calculus KW - Textbooks KW - Calculo (Matematica) - Elementar KW - larpcal N1 - Differential Calculus -- Collection of formulas -- Variables, functions, and limits -- Differentiation -- Rules for differentiating algebraic forms -- Various applications of the derivative -- Successive differentiation and applications -- Differentiation of transcendental functions. Applications -- Application to parametric equations, polar equations, and roots -- Differentials -- Curvature. Radius and circle of curvature -- Theorem of mean value and its applications -- Integral Calculus -- Integration; rules for integrating standard elementary forms -- Constant of integration -- The definite integral -- Integration a process of summation -- Formal integration by various devices -- Reduction formulas. Use of table of integrals -- Centroids, fluid pressure, and other applications -- Series -- Expansion of functions 00 Ordinary differential equations 00 Partial differentiation -- Applications of partial derivatives -- Multiple integrals -- Integraph. Polar planimeter -- Curves for reference -- Table of integrals ER -