Titlebook: Calculus for Scientists and Engineers; Martin Brokate,Pammy Manchanda,Abul Hasan Siddiqi Textbook 2019 Springer Nature Singapore Pte Ltd.

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Limit and Continuity,s. The limit is the most important concept of calculus, without limits calculus simply does not exist. Practically, every notion of calculus is a limit in one sense or another. Physical concepts and real-world situations can be expressed as limits of certain functions. For example, a circle is the l

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Sequences and Series,ively simple formulas. In 1668, Mercator published the formula for the logarithmic series. Since that time, series have been used for countless purposes in science and engineering. We give here a brief introduction into the definition and convergence properties of sequences and series, in particular

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Integration,n (thus, of a process). We have studied this subject in Chaps.?. and .. But this part reveals only half of the story. It is good to know, at any given instant, the rate of change of a function, but it is of additional interest and use if we could describe how such instantaneous changes accumulate ov

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Functions of Several Variables,of illustrative examples have been given in Sect.?.. Let us recall that a real-valued function . of one variable assigns to each point . of its domain .(.) on the line . a unique point .(.) on the line ..

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