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Titlebook: Calculus III; Jerrold Marsden,Alan Weinstein Textbook 1985Latest edition Springer-Verlag New York Inc. 1985 calculus.derivative.differenti

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Yaxuan Sun,Annan Wang,Shengxi Wugradient, using the chain rule. The gradient will be used to find the equations for tangent planes to level surfaces. The last two sections of the chapter extend our earlier studies of maxima and minima (Chapter 3) to functions of several variables.
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https://doi.org/10.1007/978-3-319-70093-9pect to one variable at a time, using the methods of one variable calculus. As in the previous chapters, we concentrate on the basic ideas and methods of calculation, leaving a few of the more theoretical points for a later cours.
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Hounaïda Moalla,Walid Elloumi,Adel M. Alimioblems of fluid flow and electromagnetic theory; thus, it is not surprising that they are very important for physics as well as for their own mathematical beauty. Enough applications are given in this chapter so that the student can appreciate the physical meaning of the theorems.
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Vectors,le, for instance, depends upon the lengths . and . of the two other sides; the dependence is given by the Pythagorean formula .. Similarly, the growth rate of a plant may depend upon the amounts of sunlight, water, and fertilizer it receives; such a dependence relation may be determined experimentally or predicted by a theory.
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Multiple Integration,pect to one variable at a time, using the methods of one variable calculus. As in the previous chapters, we concentrate on the basic ideas and methods of calculation, leaving a few of the more theoretical points for a later cours.
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Vector Analysis,oblems of fluid flow and electromagnetic theory; thus, it is not surprising that they are very important for physics as well as for their own mathematical beauty. Enough applications are given in this chapter so that the student can appreciate the physical meaning of the theorems.
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