Overview

Full Product Details

Author:   József Beck
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2014
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   7.548kg
ISBN:  

9783319354651

ISBN 10:   3319354655
Pages:   487
Publication Date:   22 September 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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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."

Reviews

The author has written a monograph with new results in a new direction of research in probability and number theory, including algebraic number theory. ... The book is presented in a clear style and will be valuable for researchers in the field. (Oto Strauch, Mathematical Reviews, October, 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)

The author has written a monograph with new results in a new direction of research in probability and number theory, including algebraic number theory. ... The book is presented in a clear style and will be valuable for researchers in the field. (Oto Strauch, Mathematical Reviews, October, 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)

The author has written a monograph with new results in a new direction of research in probability and number theory, including algebraic number theory. ... The book is presented in a clear style and will be valuable for researchers in the field. (Oto Strauch, Mathematical Reviews, October, 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 Information

József Beck is Harold H. Martin Professor of Mathematics at Rutgers University.

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