Brooks/Cole Publishing Company, 1995 - Calcul infinitésimal - Problèmes et exercices - 1130 pages
James Stewart has carefully and completely revised the best-selling calculus text in North America, retaining the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made this text work so well for a wide range of students. In the new edition, Stewart has increased his emphasis on technology and innovation and has expanded his focus on problem solving and applications. ..When writing his previous editions, Stewart set out to bring some of the spirit of Polya to his presentation. This resulted in the ''strategy sections'' in the First Edition and the ''Problems Plus'' and ''Applications Plus'' sections in the Second Edition. Now in the Third Edition, he extends the idea further with a new section on ''Principles of Problem Solving'' and new extended examples in the ''Problems Plus'' and Applications Plus'' sections. Stewart makes a serious attempt to help students reason mathematically.
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absolute maximum angle antiderivative approximation Chain Rule compute concave upward constant continuous function convergent cost cosx critical numbers decimal places decreasing defined Derivative Test distance divergent domain ellipse endpoint estimate Evaluate EXAMPLE Exercise exist exponential function Find the area Find the volume formula function f(x Fundamental Theorem graph of f graphing calculator graphing device hyperbola Iff(x illustrated increasing inflection points Intermediate Value Theorem intersection interval inverse function length lim f(x limit logarithmic maximum and minimum Mean Value Theorem minimum value notation obtained by rotating parabola parametric equations polynomial Prove radius rate of change real number region bounded secant line Section sequence shown in Figure shows the graph sinx Sketch the graph slope SOLUTION solve Squeeze Theorem subintervals substitution tangent line Theorem of Calculus triangle trigonometric vertical asymptote viewing rectangle x-axis x-intercepts y-axis