Applications of Diophantine Approximation to Integral Points and Transcendence
Seiten
2018
Cambridge University Press (Verlag)
978-1-108-42494-3 (ISBN)
Cambridge University Press (Verlag)
978-1-108-42494-3 (ISBN)
This introduction to Diophantine approximation and Diophantine equations, with applications to related topics, pays special regard to Schmidt's subspace theorem. It contains a number of results, some never before published in book form, and some new. The authors introduce various techniques and open questions to guide future research.
This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughout the book. It includes a number of results, some published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts.
This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughout the book. It includes a number of results, some published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts.
Pietro Corvaja is Full Professor of Geometry at the Università degli Studi di Udine, Italy. His research interests include arithmetic geometry, Diophantine approximation and the theory of transcendental numbers. Umberto Zannier is Full Professor of Geometry at Scuola Normale Superiore, Pisa. His research interests include number theory, especially Diophantine geometry and related topics.
Notations and conventions; Introduction; 1. Diophantine approximation and Diophantine equations; 2. Schmidt's subspace theorem and S-unit equations; 3. Integral points on curves and other varieties; 4. Diophantine equations with linear recurrences; 5. Some applications of the subspace theorem in transcendental number theory; References; Index.
| Erscheinungsdatum | 04.07.2018 |
|---|---|
| Reihe/Serie | Cambridge Tracts in Mathematics |
| Zusatzinfo | Worked examples or Exercises; 2 Line drawings, black and white |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 157 x 235 mm |
| Gewicht | 400 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-108-42494-5 / 1108424945 |
| ISBN-13 | 978-1-108-42494-3 / 9781108424943 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Sieben ausgewählte Themenstellungen
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 89,95
unlock your imagination with the narrative of numbers
Buch | Softcover (2024)
Advantage Media Group (Verlag)
CHF 27,90
Seltsame Mathematik - Enigmatische Zahlen - Zahlenzauber
Buch | Softcover (2024)
BoD – Books on Demand (Verlag)
CHF 27,95
