Lecture Notes on Diophantine Analysis

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 de...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Zannier, Umberto (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2014.
Σειρά:Publications of the Scuola Normale Superiore ; 8
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02338nam a22004335i 4500
001 978-88-7642-517-2
003 DE-He213
005 20151030021538.0
007 cr nn 008mamaa
008 150505s2014 it | s |||| 0|eng d
020 |a 9788876425172  |9 978-88-7642-517-2 
024 7 |a 10.1007/978-88-7642-517-2  |2 doi 
040 |d GrThAP 
050 4 |a QA299.6-433 
072 7 |a PBK  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
082 0 4 |a 515  |2 23 
100 1 |a Zannier, Umberto.  |e author. 
245 1 0 |a Lecture Notes on Diophantine Analysis  |h [electronic resource] /  |c by Umberto Zannier. 
264 1 |a Pisa :  |b Scuola Normale Superiore :  |b Imprint: Edizioni della Normale,  |c 2014. 
300 |a XVI, 239 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Publications of the Scuola Normale Superiore ;  |v 8 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 1 4 |a Mathematics. 
650 2 4 |a Analysis. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9788876423413 
830 0 |a Publications of the Scuola Normale Superiore ;  |v 8 
856 4 0 |u http://dx.doi.org/10.1007/978-88-7642-517-2  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)