Calculus and analytic geometry - Fobes, Melcher P.; Smyth, Ruth B. (Englewood Cliffs, N.J. Prentice-Hall, 1963)
v.1. Introduction: intuitive approach to limits -- The geometry of points and line segments -- Geometry of infinitely many points -- Straight lines -- Functions -- Functions, rates, derivatives -- Calculating derivatives -- New ways of defining functions; their derivatives -- The derivative applied to geometry -- Applications of the derivative to problems -- The differential and the mean value theorem -- The indefinite integral The definite integral -- Applications of integration -- The trigonometric functions -- Inverse functions and inverse trigonometric functions -- The exponential and logarithmic functions -- The conic sections -- Transformations of the plane -- Techniques of indefinite integration -- Evaluation of definite integrals -- Extensions of the definition of definite integral -- More applications of integration -- v.2. Polar coordinates -- Parametric equations -- Curvature -- Continuous and differentiable functions: "Indeterminate forms" -- Infinite sequences and series of constants -- Power series -- Determinants -- Solid analytic geometry -- Partial derivatives -- Multiple integrals -- Differential equations.
Keywords: Calculus; Geometry, Analytic