Lectures on the Geometry of Numbers

Carl Ludwig Siegel

ISBN 10: 3540506292 / ISBN 13: 9783540506294

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1989, 1989

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Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 176 pp. Englisch.

Codice articolo 9783540506294

Dati bibliografici

• Titolo: Lectures on the Geometry of Numbers
• Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1989
• Data di pubblicazione: 1989
• Lingua: Inglese
• ISBN 10: 3540506292
• ISBN 13: 9783540506294
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 16 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 16 millimetri di profondità
• Peso: 436 grammi

Descrizione articolo

Riassunto

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.

Contenuti

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.