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The Cauchy Method of Residues - Volume 2: Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 1993)
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The Cauchy Method of Residues - Volume 2: Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 1993)
Series: Mathematics and Its Applications, 259
Expected to ship within 10 - 15 working days
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Volume 1, i. e. the monograph The Cauchy Method of Residues -
Theory and Applications published by D. Reidel Publishing Company
in 1984 is the only book that covers all known applications of the
calculus of residues. They range from the theory of equations,
theory of numbers, matrix analysis, evaluation of real definite
integrals, summation of finite and infinite series, expansions of
functions into infinite series and products, ordinary and partial
differential equations, mathematical and theoretical physics, to
the calculus of finite differences and difference equations. The
appearance of Volume 1 was acknowledged by the mathematical
community. Favourable reviews and many private communications
encouraged the authors to continue their work, the result being the
present book, Volume 2, a sequel to Volume 1. We mention that
Volume 1 is a revised, extended and updated translation of the book
Cauchyjev raeun ostataka sa primenama published in Serbian by Nau
na knjiga, Belgrade in 1978, whereas the greater part of Volume 2
is based upon the second Serbian edition of the mentioned book from
1991. Chapter 1 is introductory while Chapters 2 - 6 are
supplements to the corresponding chapters of Volume 1. They mainly
contain results missed during the preparation of Volume 1 and also
some new results published after 1982. Besides, certain topics
which were only briefly mentioned in Volume 1 are treated here in
more detail.
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