Probabilistic Diophantine Approximation

Randomness in Lattice Point Counting

Nonfiction, Science & Nature, Mathematics, Number Theory, Statistics
Cover of the book Probabilistic Diophantine Approximation by József Beck, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: József Beck ISBN: 9783319107417
Publisher: Springer International Publishing Publication: October 6, 2014
Imprint: Springer Language: English
Author: József Beck
ISBN: 9783319107417
Publisher: Springer International Publishing
Publication: October 6, 2014
Imprint: Springer
Language: English

This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results developed by the author over the past decade. A range of ideas from other areas of mathematics are brought to bear with surprising connections to topics such as formulae for class numbers, special values of L-functions, and Dedekind sums. Care is taken to elaborate difficult proofs by motivating major steps and accompanying them with background explanations, enabling the reader to learn the theory and relevant techniques.

Written by one of the acknowledged experts in the field, Probabilistic Diophantine Approximation is presented in a clear and informal style with sufficient detail to appeal to both advanced students and researchers in number theory.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results developed by the author over the past decade. A range of ideas from other areas of mathematics are brought to bear with surprising connections to topics such as formulae for class numbers, special values of L-functions, and Dedekind sums. Care is taken to elaborate difficult proofs by motivating major steps and accompanying them with background explanations, enabling the reader to learn the theory and relevant techniques.

Written by one of the acknowledged experts in the field, Probabilistic Diophantine Approximation is presented in a clear and informal style with sufficient detail to appeal to both advanced students and researchers in number theory.

More books from Springer International Publishing

Cover of the book Development Challenges in Bhutan by József Beck
Cover of the book Architecture and Mathematics from Antiquity to the Future by József Beck
Cover of the book H2Karst Research in Limestone Hydrogeology by József Beck
Cover of the book Cutting Edge of Ophthalmic Surgery by József Beck
Cover of the book Technology and Intimacy: Choice or Coercion by József Beck
Cover of the book Modular System Design and Evaluation by József Beck
Cover of the book Chinua Achebe and the Politics of Narration by József Beck
Cover of the book Citizen, Territory and Technologies: Smart Learning Contexts and Practices by József Beck
Cover of the book Elispot for Rookies (and Experts Too) by József Beck
Cover of the book Economic Thought and Institutional Change in France and Italy, 1789–1914 by József Beck
Cover of the book Fish on the Move by József Beck
Cover of the book Frontiers in Gynecological Endocrinology by József Beck
Cover of the book Biologics to Treat Substance Use Disorders by József Beck
Cover of the book Advances in Energy System Optimization by József Beck
Cover of the book Reachability Problems by József Beck
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy