Description

Derived from the author’s lectures at Leningrad University, this volume focuses on the concept of integral equations in several different contexts, including: . Fredholm equations . Riesz-Schauder equations . Symmetric integral equations and applications of integral equations in three-dimensional space . Multi-dimensional spaces . Vibrating membranes The text concludes with an extensive selection of exercises, most of which prove theorems that were not covered in previous chapters. For advanced undergraduates and graduate students studying algebraic linear equations and their applications. AUTHOR: Solomon Grigorevich Mikhlin (190890) was a Soviet mathematician working in the fields of linear elasticity, singular integrals, and numerical analysis. He obtained his degree in 1929 from the Department of Mathematics and Mechanics, Leningrad State University. A year later he began his teaching career and moved to the Seismological Institute of the USSR Academy of Sciences. In 1933 he earned his doctorate in mathematics and physics and obtained the rank of Professor in 1937. From 196486 he headed the Laboratory of Numerical Methods at the Research Institute of Mathematics and Mechanics, Leningrad State University. Thereafter he was a Senior Researcher at the laboratory. As a Jewish mathematician in the Soviet state apparatus, where anti-Semitism was common, Mikhlin avoided explicit difficulties but was prevented from traveling outside the country.