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Introduction to Complex Theory of Differential Equations (Paperback, 1st ed. 2017)
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Introduction to Complex Theory of Differential Equations (Paperback, 1st ed. 2017)
Series: Frontiers in Mathematics
Expected to ship within 10 - 15 working days
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This book discusses the complex theory of differential equations or
more precisely, the theory of differential equations on
complex-analytic manifolds. Although the theory of differential
equations on real manifolds is well known - it is described in
thousands of papers and its usefulness requires no comments or
explanations - to date specialists on differential equations have
not focused on the complex theory of partial differential
equations. However, as well as being remarkably beautiful, this
theory can be used to solve a number of problems in real theory,
for instance, the Poincare balayage problem and the mother body
problem in geophysics. The monograph does not require readers to be
familiar with advanced notions in complex analysis, differential
equations, or topology. With its numerous examples and exercises,
it appeals to advanced undergraduate and graduate students, and
also to researchers wanting to familiarize themselves with the
subject.
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