ENGLISH

Applied Pseudoanalytic Function Theory

By Vladislav V. Kravchenko

Book information

Publisher
Birkhäuser Basel
Year
2009
ISBN
3034600038, 9783034600033
Language
english
Format
PDF
Filesize
1 MB (1162852 bytes)
Series
Frontiers in Mathematics
Edition
1
Pages
173\173
Time added
2011-01-06 10:13:16

Description

Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrödinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods. The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. It is directed to undergraduates, graduate students and researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations.

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