Titlebook: Engineering Mathematics by Example; Robert Sobot Textbook 20211st edition Springer Nature Switzerland AG 2021 Engineering mathematics text

現(xiàn)存

歌唱隊(duì)

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Basic Number TheoryHigh level of competence in basic number theory and operations is fundamental to any subsequent topic in mathematics. In this chapter we practice problems that include number identities, fractions, radicals, positive, negative, and rational powers, as well as equations and inequalities that include absolute numbers.

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Linear Equations and InequalitiesBasic theorem in algebra loosely states that in order to resolve . independent variables there must be . independent equations in place. Among multiple techniques known in mathematics, in this chapter, we briefly review two of the most often used methods: substitution (a.k.a elimination) and Cramer’s rule.

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吃掉

睨視

LimitsThe introduction of function’s “l(fā)imits”, that is to say methods to calculate its value in “close proximity” of a given argument .?=?., is one of the major ideas that enabled modern calculus. In this chapter we practice methods to calculate the limiting values at given points and to derive equations of possible asymptotes.

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Function AnalysisIn this chapter we practice systematic analysis of various functions commonly encountered in engineering and science. Usually, the following function properties should be resolved: domain of definition, parity, sign and zeros, vertical, horizontal and oblique asymptotes, and critical points. The analysis is summarized in the form of graph.

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