Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting (Springer Monographs in Mathematics) - Hardcover

Book 122 of 187: Springer Monographs in Mathematics

Beck, József

 
9783319107400: Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting (Springer Monographs in Mathematics)

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783319354651: Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting (Springer Monographs in Mathematics)

Featured Edition

ISBN 10:  3319354655 ISBN 13:  9783319354651
Publisher: Springer, 2016
Softcover