Carl Ludwig Siegel's Books

Lectures on Celestial Mechanics

By: Carl L. Siegel,Jürgen Moser,Jürgen K. Moser

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Lectures on Celestial Mechanics

By: Carl L. Siegel,Jürgen Moser,Jürgen K. Moser

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. Birkhoff, A. Liapunov and, as far as Chapter I is concerned, on the work of K. F. Sundman and C. L. Siegel. In recent years the measure-theoretical aspects of mechanics have been revitalized and have led to new results which will not be discussed here. In this connection we refer, in particular, to the interesting book by V. I. Arnold and A. Avez on "Problemes Ergodiques de la Mecanique Classique", which stresses the interaction of ergodic theory and mechanics. We list the points in which the present book differs from the German text. In the first chapter two sections on the tri pie collision in the three body problem have been added by C. L. Siegel.

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312

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540586563

ISBN 13

9783540586562

Lectures on the Geometry of Numbers

By: Carl Ludwig Siegel

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Lectures on the Geometry of Numbers

By: Carl Ludwig Siegel

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.

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168

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Springer Science & Business Media

Published Date

ISBN 10

366208287X

ISBN 13

9783662082874

Symplectic Geometry

By: Carl Ludwig Siegel

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Symplectic Geometry

By: Carl Ludwig Siegel

Symplectic Geometry focuses on the processes, methodologies, and numerical approaches involved in symplectic geometry. The book first offers information on the symplectic and discontinuous groups, symplectic metric, and hermitian forms. Numerical calculations are presented to show the values and transformations of these groups. The text then examines the fundamental domain of the modular group and the volume of the fundamental domain of the modular group. Equations and matrices are provided to show the fundamental domain and volume of the fundamental domain of the modular group. The publication ponders on commensurable groups and unit groups of quinary quadratic forms. Numerical analyses are also offered to show the values and characteristics of commensurable and unit groups. The text is a helpful reference for researchers interested in symplectic geometry.

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Elsevier

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ISBN 10

1483269353

ISBN 13

9781483269351

Lectures on the Geometry of Numbers

By: Carl Ludwig Siegel

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Lectures on the Geometry of Numbers

By: Carl Ludwig Siegel

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168

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Springer Science & Business Media

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ISBN 10

366208287X

ISBN 13

9783662082874

Transcendental Numbers

By: Carl Ludwig Siegel

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Transcendental Numbers

By: Carl Ludwig Siegel

Carl Ludwig Siegel’s classic treatment of transcendental numbers from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

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116

Publisher

Princeton University Press

Published Date

ISBN 10

1400882354

ISBN 13

9781400882359

Topics in Complex Function Theory, Volume 3

Abelian Functions and Modular Functions of Several Variables

By: Carl Ludwig Siegel

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Topics in Complex Function Theory, Volume 3

Abelian Functions and Modular Functions of Several Variables

By: Carl Ludwig Siegel

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.

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Page Count

260

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471504017

ISBN 13

9780471504016

Lectures on Celestial Mechanics

By: Carl L. Siegel,Jürgen Moser,Jürgen K. Moser

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Lectures on Celestial Mechanics

By: Carl L. Siegel,Jürgen Moser,Jürgen K. Moser

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312

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Springer Science & Business Media

Published Date

ISBN 10

3540586563

ISBN 13

9783540586562

Topics in Complex Function Theory, Volume 3

Abelian Functions and Modular Functions of Several Variables

By: Carl Ludwig Siegel

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Topics in Complex Function Theory, Volume 3

Abelian Functions and Modular Functions of Several Variables

By: Carl Ludwig Siegel

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258

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471504017

ISBN 13

9780471504016

Analytic Functions of Several Complex Variables

Lectures Delivered at the Institute for Advanced Study, 1948-1949

By: Carl Ludwig Siegel

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Analytic Functions of Several Complex Variables

Lectures Delivered at the Institute for Advanced Study, 1948-1949

By: Carl Ludwig Siegel

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.

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174

Published Date

ISBN 10

0979318378

ISBN 13

9780979318375

Book's by Carl Ludwig Siegel

Lectures on Celestial Mechanics

Lectures on Celestial Mechanics

Lectures on the Geometry of Numbers

Lectures on the Geometry of Numbers

Symplectic Geometry

Symplectic Geometry

Lectures on the Geometry of Numbers

Lectures on the Geometry of Numbers

Transcendental Numbers

Transcendental Numbers

Topics in Complex Function Theory, Volume 3

Topics in Complex Function Theory, Volume 3

Lectures on Celestial Mechanics

Lectures on Celestial Mechanics

Topics in Complex Function Theory, Volume 3

Topics in Complex Function Theory, Volume 3

Analytic Functions of Several Complex Variables

Analytic Functions of Several Complex Variables

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