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. It has also given rise to a new method for solving Sturm-Liouville problems. The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. First presentation in book of pseudoanalytic function theory applied to a variety of models of mathematical physics Presents new methods for studying models of mathematical physics Clearly written, at the level of an undergraduate student acquainted with complex analysis and basics of differential equations
- ISBN: 978-3-0346-0003-3
- Editorial: Birkhaüser
- Encuadernacion: Rústica
- Páginas: 200
- Fecha Publicación: 01/04/2009
- Nº Volúmenes: 1
- Idioma: Inglés