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Lectures on Celestial Mechanics
The present book represents to a large extent the translation of the German "Vorlesungen über Himmelsmechanik" by C. L. Siegel. The demand for a new edition and for an English translation gave rise to the present volume which, however, goes beyond a mere translation. To take account of recent work in this field a number of sections have been added, especially in the third chapter which deals with the stability theory. Still, it has not been attempted to give a complete presentation of the subject, and the basic prganization of Siegel's original book has not been altered. The emphasis lies in the development of results and analytic methods which are based on the ideas of H. Poincare, G. D. B...
Lectures on the Geometry of Numbers
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 volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.
Topics in Complex Function Theory, Volume 3
Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.
Transcendental Numbers. (AM-16)
The description for this book, Transcendental Numbers. (AM-16), will be forthcoming.
Analytic Functions of Several Complex Variables
"Carl L. Siegel (1896-1981) was one of the finest mathematicians of the twentieth century. The present book is a set of lectures on favorite themes of Siegel, delivered at the Institute for Advanced Study in 1948-1949. The notes on which the book was based were drawn up with great care by Paul T. Bateman. The book, which has been unavailable for many years, has been retyped in an attractive modern format. The first part deals with meromorphic functions with 2n independent periods, and the rest of the book is devoted to automorphic functions with bounded domain."--Back cover.
Topics in Complex Function Theory, Volume 2
At head of title: Lloyd's of London Press Ltd.
Arithmetic Groups and Reduction Theory
Presents papers and lecture notes from four great contributors of the reduction theory: Armond Borel, Roger Godement, Carl Ludwig Siegel and Andre Weil. They reflect their deep knowledge of the subject and their perspectives.
Topics in Complex Function Theory, Volume 1
Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.
