Titlebook: Inside Interesting Integrals; A Collection of Snea Paul J. Nahin Textbook 2020Latest edition Springer Nature Switzerland AG 2020 Differenti

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串通

Comprise

thyroid-hormone

傾聽(tīng)

Using Power Series to Evaluate Integrals,integral from 1859, connecting the gamma and zeta functions, is derived. Continuing use is made of the tricks from the earlier chapters, including Feynman’s trick. Euler’s constant is developed as an integral formulation, and the digamma function is discussed.

放棄

Using , to Evaluate Integrals,ed by such pioneers as Euler to evaluate some challenging integrals. Such integrals include the Fresnel integrals, and Euler’s log-sine integral involving the zeta function. Euler’s famous identity .?=?cos?(.)?+?.?sin?(.) plays a central role these calculations. The use of the classic transforms of

Genome

Contour Integration,the Cauchy-Riemann equations are derived and the concept of an analytic function is introduced. That is followed with discussions of the integral theorems of Green and Cauchy, integrand singularities, the residue theorem, and the complications caused by multi-valued integrands (which leads to the co

心神不寧

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