Titlebook: Higher Mathematics for Physics and Engineering; Tsuneyoshi Nakayama,Hiroyuki Shima Textbook 2010 Springer-Verlag Berlin Heidelberg 2010 An

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逃避責(zé)任

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嫌惡

https://doi.org/10.1007/b138494Analysis; Applied mathematics; Mathematical physics textbook; Mathematical topology for knot theory; Mat

Debrief

978-3-642-42591-2Springer-Verlag Berlin Heidelberg 2010

送秋波

keloid

Real Sequences and SeriesIn this chapter, we deal with the fundamental properties of sequences and series of real numbers.We place particular emphasis on the concept of “convergence,” a thorough understanding of which is important for the study of the various branches of mathematical physics that we are concerned with subsequent chapters.

卜聞

Lebesgue Integralsconcept of length that allows us to quantify the length of a set that is composed of, for instance, an infinite number of infinitesimal points with a highly discontinuous distribution. Thus, the Lebesgue integral is an effective tool for integrating highly discontinuous functions that cannot be integrated using conventional Riemann integrals.

冷峻

作嘔

Contour Integralsng closed contours. This utility of singularities is based on the residue theorem (Sect. 9.1.1), argument principle (Sect. 9.4), and principal value integrals (Sect. 9.5.1), all of which correlate the nature of singularities within and/or on the contour with the relevant complex integrals.

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