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On Some Applications of Diophantine Approximations
Umberto . Ed(S): Zannier
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Description for On Some Applications of Diophantine Approximations
Paperback. Editor(s): Zannier, Umberto. Series: Publications of the Scuola Normale Superiore. Num Pages: 157 pages, biography. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 15. Weight in Grams: 363.
This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel’s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel’s proof have appeared, but none seem to faithfully reproduce all features of the original one. This translation makes Siegel’s original ideas and proofs available for the first time in English. The volume also contains the original version of the paper (in German) and an article by the translator and ... Read more
This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel’s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel’s proof have appeared, but none seem to faithfully reproduce all features of the original one. This translation makes Siegel’s original ideas and proofs available for the first time in English. The volume also contains the original version of the paper (in German) and an article by the translator and ... Read more
Product Details
Format
Paperback
Publication date
2015
Publisher
Birkhauser Verlag AG Italy
Number of pages
157
Condition
New
Series
Publications of the Scuola Normale Superiore
Number of Pages
157
Place of Publication
Pisa, Italy
ISBN
9788876425196
SKU
V9788876425196
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-7
Reviews for On Some Applications of Diophantine Approximations
“This book contains both Siegel’s original paper in German and an English translation. … this is a fundamental paper, well worth reading. … It will be of great interest to mathematicians working in transcendence theory and Diophantine approximation, and to anyone interested in the history of mathematics in the early 20th century.” (Fernando Q. Gouvêa, MAA Reviews, June, 2015)