Download E-books The Cauchy Method of Residues: Volume 2: Theory and Applications (Mathematics and Its Applications) PDF

By J.D. Keckic

Quantity 1, i. e. the monograph The Cauchy approach to Residues - conception and functions released through D. Reidel Publishing corporation in 1984 is the single booklet that covers all recognized purposes of the calculus of residues. they vary from the speculation of equations, idea of numbers, matrix research, review of genuine yes integrals, summation of finite and countless sequence, expansions of services into limitless sequence and items, traditional and partial differential equations, mathematical and theoretical physics, to the calculus of finite variations and distinction equations. the looks of quantity 1 was once said via the mathematical neighborhood. beneficial experiences and plenty of deepest communications inspired the authors to proceed their paintings, the end result being the current publication, quantity 2, a sequel to quantity 1. We point out that quantity 1 is a revised, prolonged and up-to-date translation of the ebook Cauchyjev raeun ostataka sa primenama released in Serbian via Nau~na knjiga, Belgrade in 1978, while the better a part of quantity 2 is predicated upon the second one Serbian variation of the pointed out e-book from 1991. bankruptcy 1 is introductory whereas Chapters 2 - 6 are vitamins to the corresponding chapters of quantity 1. They in most cases include effects neglected throughout the education of quantity 1 and likewise a few new effects released after 1982. along with, yes themes that have been merely in brief pointed out in quantity 1 are taken care of right here in additional aspect.

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