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The Cauchy Method of Residues - Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 1984)
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The Cauchy Method of Residues - Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 1984)
Series: Mathematics and its Applications, 9
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Growing specialization and diversification have brought a host of
monographs and textbooks on increasingly specialized topics.
However, the "tree" of knowledge of mathematics and related fields
does not' grow only by putting forth new branches. It also happens,
quite often in fact, that branches which were thought to be
completely disparate are suddenly seen to be related. Further, the
kind and level of sophistication of mathematics applied in various
sciences has changed drastically in recent years: measure theory is
used (non-trivially) in regional and theoretical economics;
algebraic geometry interacts with physics; the Minkowsky lemma,
coding theory arid the struc ture of water meet one another in
packing and covering theory; quantum fields, crystal defects and
mathematical programming profit from homotopy theory; lie algebras
are relevant to filtering; and prediction and electrical
engineering can use Stein spaces. And in addition to this there are
such new emerging subdisciplines as "completely integrable
systems," "chaos, synergetics and large-5cale order," which are
almost impossible to fit into the existing classification schemes.
They draw upon widely different sections of mathematics. This
program, Mathematics and Its Applications, is devoted to such (new)
interrelations as exampla gratia: - a central concept which plays
an important role in several different mathe matical and/or
scientific specialized areas; - new applications of the results and
ideas from one area of scientific en deavor into another; -
influences which the results, problems and concepts of one field of
enquiry have and have had on the development of another."
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