Calculus: One and Several Variables, with Analytic GeometryWiley, 1986 - 1229 halaman A revised and updated presentation of calculus with applications to engineering and the sciences. Changes include an early treatment of the calculus of the trigonometric functions, an increased use of Riemann definition of the integral, the introduction of several numerical techniques, an early chapter on mathematical modeling, expanded and balanced exercise sets, suggested procedures for problem solving, revised proofs, and additional examples. Chapter 13 is contained in both part I and part II. |
Isi
INTRODUCTION | 1 |
LIMITS AND CONTINUITY | 47 |
DIFFERENTIATION | 107 |
Hak Cipta | |
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a₁ angle antiderivative asymptote axis bounded C₁ Calculate chain rule constant converges coordinate cos² cosh curve d₁ decreases defined derivative differential equation diverges domain dot product double integral dxdy ellipse estimate EXAMPLE EXERCISES exists feet Figure fis continuous formula function f(x given gives gradient graph hyperbola improper integral inequality integral intersect interval length lim f(x limit local minimum logarithm maximum mean-value theorem minimum P₁ parabola parametrized partial perpendicular plane point of inflection polar polynomial positive PROBLEM Proof radius rate of change real numbers rectangle region Riemann sums sec² Section sequence Show sin¯¹ sin² sinh Solution surface tan¯¹ tangent line theorem triangle trigonometric functions variables vector velocity vertical volume x-axis x₁ xy-plane y-axis zero