Lecture Notes on Diophantine Analysis (Publications of the Scuola Normale Superiore, 8)
Language: English
Published by Edizioni della Normale, 2009
- Softcover
- Used
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237 pages, as new.
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- Title
- Lecture Notes on Diophantine Analysis (Publications of the Scuola Normale Superiore, 8)
- Author
- Zannier, Umberto
- Publisher
- Edizioni della Normale
- Publication year
- 2009
- Condition
- As new
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 8876423419
- ISBN 13
- 9788876423413
- Item weight
- 522 grams
- Dimensions
- 15.01 centimeters width by 24 centimeters height by 1.47 centimeters depth
These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. It examines diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables.
"Synopsis" may belong to another edition of this title.
From the Back Cover
These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several Supplements, hinted exercises and an Appendix on recent work on heights.
"About the title" may belong to another edition of this title.
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