Notes on Geometry and Arithmetic.
Language: English
Published by Cham, Springer International Publishing, 2020
Series: Book 243 of 261 - Universitext
- Softcover
- Used
Seller: Antiquariat Bookfarm, Löbnitz, GermanyAntiquariat Bookfarm
AbeBooks seller since October 28, 2009
Condition: Used - Very good
£ 27.85
Quantity: 1 available
Add to basketItem description from seller
Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. R-17299 9783030437800 Sprache: Englisch Gewicht in Gramm: 550.
Seller Inventory # 2482283
- Title
- Notes on Geometry and Arithmetic.
- Author
- Coray, Daniel
- Publisher
- Cham, Springer International Publishing
- Publication year
- 2020
- Condition
- Gut
- Binding
- Softcover
- Language
- English
- ISBN 10
- 3030437809
- ISBN 13
- 9783030437800
- Edition
- 1st ed. 2020.
- Item weight
- 550 grams
- Series
- Book 243 of 261: Universitext
- Seller catalogs
- U Physik
This English translation of Daniel Coray’s original French textbook Notes de géométrie et d’arithmétique introduces students to Diophantine geometry. It engages the reader with concrete and interesting problems using the language of classical geometry, setting aside all but the most essential ideas from algebraic geometry and commutative algebra. Readers are invited to discover rational points on varieties through an appealing ‘hands on’ approach that offers a pathway toward active research in arithmetic geometry. Along the way, the reader encounters the state of the art on solving certain classes of polynomial equations with beautiful geometric realizations, and travels a unique ascent towards variations on the Hasse Principle.
Highlighting the importance of Diophantus of Alexandria as a precursor to the study of arithmetic over the rational numbers, this textbook introduces basic notions with an emphasis on Hilbert’s Nullstellensatz over an arbitrary field. A digression on Euclidian rings is followed by a thorough study of the arithmetic theory of cubic surfaces. Subsequent chapters are devoted to p-adic fields, the Hasse principle, and the subtle notion of Diophantine dimension of fields. All chapters contain exercises, with hints or complete solutions.Notes on Geometry and Arithmetic will appeal to a wide readership, ranging from graduate students through to researchers. Assuming only a basic background in abstract algebra and number theory, the text uses Diophantine questions to motivate readers seeking an accessible pathway into arithmetic geometry.
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Antiquariat Bookfarm
Löbnitz, Germany
AbeBooks seller since October 28, 2009
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