Generalized Cauchy-Riemann Systems with a Singular Point

by Zafar D Usmanov

Overview

A theory of generalized Cauchy-Riemann systems with polar singularities of order not less than one is presented and its application to study of infinitesimal bending of surfaces having positive curvature and an isolated flat point is given. The book contains results of investigations obtained by the author and his collaborators.

Product Details

ISBN-13:	9780582292802
Publisher:	Taylor & Francis
Publication date:	04/29/1997
Series:	Monographs and Surveys in Pure and Applied Mathematics , #85
Pages:	232
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Zafar D Usmanov is a leading specialist in the field of differential equations. He graduated from Moscow State University in 1959, defending his candidate thesis in 1966 and his doctorate in 1973. He became Professor of Applied Mathematics at Tajik State University in 1983. Since 1981 he has been a full member of the Tajik Academy of Sciences and in 1988 he became Director of the Institute of Mathematics of the Tajik Academy of Sciences. He has published numerous papers on the subject of this book and has written three other books on applied mathematics.

Table of Contents

Introduction. Interrelation Between Sets of General and Model Equation Solutions. The Model Equation. The General Equation. Modified Generalized Cauchy-Riemann Systems with a Singular Point. Generalized Cauchy-Riemann System with the Order of the Singularity at a Point Strictly Greater Then 1. Infinitesimal Bendings of Surfaces of Positive Curvature with a Flat Point. Supplement-Generalized Cauchy-Riemann Systems with a Singular Line.