Calculus: An Intuitive and Physical ApproachApplication-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition. Solution guide available upon request. |
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acceleration angle antiderivative antidifferentiation apply approximation arc length average speed Ax approaches becomes infinite calculate chain rule Chapter circle constant converges curve cycloid cylinder definite integral denote derived function determine differential direction directrix distance double integral dy/dx earth ellipse evaluate example EXERCISES exerts fact Figure force formula ft/sec geometrical given graph gravity height Hence horizontal hyperbola independent variable initial velocity interval inverse function Let us consider limit logarithm mass mathematical maxima and minima maximum moment of inertia motion negative object obtain parabola parametric equations particle perpendicular physical plane Polar axis polar coordinates positive problem quantity quotient radius rate of change rectangle represents respect result right side rotation Section semimajor axis sequence shell Show slope ſº sphere subinterval Suppose surface tangent theorem vector volume x-axis y-axis y-values