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OverviewThe book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive list of references. From the contents: Field extensions • Algebraic numbers • Algebraic geometry • Height functions • The abc-conjecture • Roth's theorem • Subspace theorems • Vojta's conjectures • L-functions. Full Product DetailsAuthor: Pei-Chu Hu , Chung-Chun YangPublisher: De Gruyter Imprint: De Gruyter Volume: 45 Dimensions: Width: 17.00cm , Height: 3.00cm , Length: 24.00cm Weight: 1.015kg ISBN: 9783110205367ISBN 10: 311020536 Pages: 538 Publication Date: 17 November 2008 Recommended Age: College Graduate Student Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviewsA remarkable feature of this book is that it starts at a basic level, introducing the fundamental concepts from scratch, without proofs for the classical ones but with relevant references to more basic books for complete proofs. The authors reach gradually the most advanced recent results on qualitative and quantitative relations of algebraic numbers distributed in spaces. Zentralblatt fur Mathematik A remarkable feature of this book is that it starts at a basic level, introducing the fundamental concepts from scratch, without proofs for the classical ones but with relevant references to more basic books for complete proofs. The authors reach gradually the most advanced recent results on qualitative and quantitative relations of algebraic numbers distributed in spaces. Zentralblatt f r Mathematik """A remarkable feature of this book is that it starts at a basic level, introducing the fundamental concepts from scratch, without proofs for the classical ones but with relevant references to more basic books for complete proofs. The authors reach gradually the most advanced recent results on qualitative and quantitative relations of algebraic numbers distributed in spaces."" Zentralblatt f�r Mathematik" ""A remarkable feature of this book is that it starts at a basic level, introducing the fundamental concepts from scratch, without proofs for the classical ones but with relevant references to more basic books for complete proofs. The authors reach gradually the most advanced recent results on qualitative and quantitative relations of algebraic numbers distributed in spaces."" Zentralblatt für Mathematik A remarkable feature of this book is that it starts at a basic level, introducing the fundamental concepts from scratch, without proofs for the classical ones but with relevant references to more basic books for complete proofs. The authors reach gradually the most advanced recent results on qualitative and quantitative relations of algebraic numbers distributed in spaces. Zentralblatt fur Mathematik Author InformationPei-Chu Hu, Shandong University, Jinan, China; Chung-Chun Yang, Hong Kong University of Science and Technology, China. Tab Content 6Author Website:Countries AvailableAll regions |