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Gamma-Lines - On the Geometry of Real and Complex Functions (Paperback)
Loot Price: R1,970
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Gamma-Lines - On the Geometry of Real and Complex Functions (Paperback)
Series: Modern Analysis Series
Expected to ship within 12 - 17 working days
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The history of mathematics is, to a considerable extent, connected
with the study of solutions of the equation f(x)=a=const for
functions f(x) of one real or complex variable. Therefore, it is
surprising that we know very little about solutions of
u(x,y)=A=const for functions of two real variables. These two
solutions, called level of sets, are very important with regard to
applications in physics, biology and economics as they make a map
of appropriate processes described by the function u(x,y) for given
parameters (x,y). This text explores a concept, Gamma-lines, which
generalizes the concept of levels of sets and, at the same time,
the concept of a-points. The authors provide a book on Gamma-lines
for the broad specialist and show the large range of their field of
applications. The general methods proposed in this volume are
useful for both physicists and engineers.
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