By A. O. Gogolin,Elena G. Tsitsishvili,Andreas Komnik

the idea of complicated services is a strikingly appealing and robust quarter of arithmetic. a few fairly attention-grabbing examples are doubtless advanced integrals that are without problems computed after reshaping them into integrals alongside contours, in addition to it sounds as if tough differential and essential equations, which might be elegantly solved utilizing comparable equipment. to take advantage of them is sometimes routine yet in lots of instances it borders on an paintings. The objective of the publication is to introduce the reader to this gorgeous sector of arithmetic and to coach her or him the way to use those tips on how to resolve quite a few difficulties starting from computation of integrals to fixing tricky necessary equations. this can be performed with a support of diverse examples and issues of distinct solutions.

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