Go back

Notes On Geometry And Arithmetic(1st Edition)

Authors:

Daniel Coray, Constantin Manoil, John Steinig

Free notes on geometry and arithmetic 1st edition daniel coray, constantin manoil, john steinig 3030437809,
7 ratings
Cover Type:Hardcover
Condition:Used

In Stock

Shipment time

Expected shipping within 2 Days
Access to 30 Million+ solutions Free
Ask 50 Questions from expert AI-Powered Answers
7 days-trial

Total Price:

$0

List Price: $49.99 Savings: $49.99(100%)
Access to 30 Million+ solutions
Ask 50 Questions from expert AI-Powered Answers 24/7 Tutor Help Detailed solutions for Notes On Geometry And Arithmetic

Price:

$9.99

/month

Book details

ISBN: 3030437809, 978-3030437800

Book publisher: Springer

Get your hands on the best-selling book Notes On Geometry And Arithmetic 1st Edition for free. Feed your curiosity and let your imagination soar with the best stories coming out to you without hefty price tags. Browse SolutionInn to discover a treasure trove of fiction and non-fiction books where every page leads the reader to an undiscovered world. Start your literary adventure right away and also enjoy free shipping of these complimentary books to your door.

Book Summary: 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.