Lectures on the Geometry of Numbers

ISBN-13: 9783540506294 / Angielski / Twarda / 1989 / 162 str.

Carl Ludwig Siegel; Komaravolu Chandrasekharan

Opis

Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This book offers an introduction to Minkowski's work. It reveals the workings of a remarkable mind, such as Siegel's.

Spis treści

I Minkowski’s Two Theorems.- Lecture I.- Lecture II.- Lecture III.- Lecture IV.- II Linear Inequalities.- Lecture V.- Lecture VI.- Lecture VII.- Lecture VIII.- Lecture IX.- III Theory of Reduction.- Lecture X.- Lecture XI.- Lecture XII.- Lecture XIII.- Lecture XIV.- Lecture XV.- References.

O autorze

Carl Ludwig Siegel was born on December 31, 1896 in Berlin. He studied mathematics and astronomy in Berlin and Göttingen and held chairs at the Universities of Frankfurt and Göttingen before moving to the Institute for Advanced Study in Princeton in 1940. He returned to Göttingen in 1951 and died there in 1981.Siegel was one of the leading mathematicians of the twentieth century, whose work, noted for its depth as well as breadth, ranged over many different fields such as number theory from the analytic, algebraic and geometrical points of view, automorphic functions of several complex variables, symplectic geometry, celestial mechanics.