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OverviewThis collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book. Full Product DetailsAuthor: Jörn Steuding , Sanda Bujačić , Alan Filipin , Simon KristensenPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: Softcover reprint of the original 1st ed. 2016 Dimensions: Width: 15.50cm , Height: 1.30cm , Length: 23.50cm Weight: 0.454kg ISBN: 9783319840208ISBN 10: 3319840207 Pages: 232 Publication Date: 07 July 2018 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. Linear Forms in Logarithms (by Sanda Bujačić, Alan Filipin).- 2. Metric Diophantine Approximation - From Continued Fractions to Fractals (by Simon Kristensen).- 3. A Geometric Face of Diophantine Analysis (by Tapani Matala-aho).- 4. Historical Face of Number Theory(ists) at the turn of the 19th Century (by Nicola M.R. Oswald)ReviewsAuthor InformationJörn Steuding is professor at the Department of Mathematics, University of Würzburg, Germany. Tab Content 6Author Website:Countries AvailableAll regions |
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