Calculus of Several Variables Serge Lang This new. Many completely worked-out problems have been included. Student Solutions Manual to accompany Calculus: Single Variable, 6e Deborah Hughes-Hallett. The presentation is self-contained, assuming only a knowledge of basic calculus in one variable. All of the basic topics in calculus of several variables are covered, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green's theorem, multiple integrals, surface integrals, Stokes' theorem, and the inverse mapping theorem and its consequences. "This is a new, revised, edition of this widely known text. For each choice of x y, there is a rule for computing the value of the function f(x y). Functions of Two Variables Here are some examples of functions of two variables xand y. The change of variables formula - Appendix: Fourier series Therefore, we must come to grips with the way functions of several variables are handled in calculus. Applications to functions of several variables - XVII. Mappings, inverse mappings, and change of variables formula - XIII. Curve integrals and double integrals - VII. Maxima, minima, and Taylor's formula - V. The chain rule and the gradient - Part 2.
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