Titlebook: Basic Training in Mathematics; A Fitness Program fo R. Shankar Textbook 1995 Springer Science+Business Media, LLC, part of Springer Nature

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Thorsten Schwarz,Walid Khier,Jochen RaddatzWe now turn to differential and integral calculus of many variables, in that order. Most of our discussion will be limited to the case of two variables since it illustrates most of the new ideas. We will however occasionally discuss three variables since we live and solve problems in three dimensions.

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Michael Resch,Thomas Bönisch,Yoshiki SeoIn Chapter 1, we made a passing reference to series when we discussed the Taylor expansion. We now return to the subject of infinite series for a fuller treatment.

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Infinite Series,In Chapter 1, we made a passing reference to series when we discussed the Taylor expansion. We now return to the subject of infinite series for a fuller treatment.

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Vector Calculus,In this chapter we will combine elementary notions from vector analysis and calculus. We begin with a review of the former topic.

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Ena Ray Banerjeens of thousands of ideas on a daily basis. While most ideas are fun to think about (imagine if we could move things by mere thoughts or if champagne flowed in municipal taps, just like water!), they are usually too impractical, obscure, wild, or outrageous to follow up on. Only a small percentage of