Free Delivery Over $100
|
|
|||
|
||||
OverviewThis 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. Full Product DetailsAuthor: József BeckPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 2014 ed. Dimensions: Width: 15.50cm , Height: 2.70cm , Length: 23.50cm Weight: 8.749kg ISBN: 9783319107400ISBN 10: 3319107402 Pages: 487 Publication Date: 22 October 2014 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents"Preface.- 1 What is ""probabilistic"" diophantine approximation?.- 2 Expectation, and its connection with quadratic fields.- 3 Variance, and its connection with quadratic fields.- 4 Proving randomness.- 5 Pell equation, super irregularity and randomness.- 6 More on randomness.- References.- Index."ReviewsNovel, important, intuitively appealing mathematics and a highly readable account. Summing Up: Highly recommended. Upper-division undergraduates and above. (D. V. Feldman, Choice, Vol. 52 (11), July, 2015) Beck's book brings together probability theory, algebraic number theory, and combinatorics to forge new ground. ... the book is accessible to a wide range of mathematicians. ... Beck did a nice job of motivating the questions and explaining the answers. (Darren Glass, MAA Reviews, July, 2015) Novel, important, intuitively appealing mathematics and a highly readable account. Summing Up: Highly recommended. Upper-division undergraduates and above. (D. V. Feldman, Choice, Vol. 52 (11), July, 2015) Beck s book brings together probability theory, algebraic number theory, and combinatorics to forge new ground. the book is accessible to a wide range of mathematicians. Beck did a nice job of motivating the questions and explaining the answers. (Darren Glass, MAA Reviews, July, 2015) Author InformationJózsef Beck is Harold H. Martin Professor of Mathematics at Rutgers University. Tab Content 6Author Website:Countries AvailableAll regions |
||||
