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
Applied Pseudoanalytic Function Theory
β Scribed by Vladislav V. Kravchenko
- Publisher
- BirkhΓ€user Basel
- Year
- 2009
- Tongue
- English
- Leaves
- 173
- Series
- Frontiers in Mathematics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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 SchrΓΆdinger, 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.
π SIMILAR VOLUMES
<P>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 mathematic
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
<span>The generating functions have various applications in many branches of mathematics and sciences, representing a widely used and powerful tool for solving problems. In combinatorics, they allow for obtaining a compact representation of discrete structures and the investigation of several proper