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Books > Science & Mathematics > Mathematics > Geometry
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Complex Analysis and Geometry (Hardcover, 1993 ed.)
Loot Price: R4,237
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Complex Analysis and Geometry (Hardcover, 1993 ed.)
Series: University Series in Mathematics
Expected to ship within 18 - 22 working days
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When we studied complex variables in the late 1960s, modem geometry
on the complex fie1d and complex function theory were identified in
teaching and research as several complex variables. A beginner in
the field at that time would have the experience of jumping from
the sheaf-theoretical methods employed in the theory of analytic
spaces to the P.D.E. methods of the a problem, with the c1ear
understanding that the phenomena lying behind such different
methods and problems were the same. A few years later, new
important discoveries made c1ear that complex differential geometry
was also in the same company. Looking at the historical development
of the subject in the first half of the twentieth century shows
this was not astonishing. The origin of the theory of functions of
several complex variables was tardier than the familiar of analytic
functions of one complex variable. The first comprehensive theory
textbook by Behnke and Thullen, in the 1930s, expounded the
foundations ofthe general theory as set up by Weierstrass, Cousin,
Hartogs, and Poincare and c1early put in evidence that the
difficulties were all but solved. In aseries of papers from 1936 to
1953, Oka introduced a brilliant collection of new ideas and
systematically eliminated aU difficulties. Oka's work had in itse1f
a fruitful seed and contained the premises for the opening of wider
horizons."
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