An Introduction to Probabilistic Number Theory, 9781108840965
Hardcover
Randomness hides within whole numbers: Probability unlocks number theory’s deepest secrets.

An Introduction to Probabilistic Number Theory

$155.88

  • Hardcover

    270 pages

  • Release Date

    6 May 2021

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Summary

Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of random processes and events. This surprising connection was first discovered around 1920, but in recent years the links have become much deeper and better understood. Aimed at beginning graduate students, this textbook is the first to explain some of the most modern parts of the story. Such topics include the Chebychev bias, universalit…

Book Details

ISBN-13:9781108840965
ISBN-10:1108840965
Author:Emmanuel Kowalski
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Hardcover
Number of Pages:270
Release Date:6 May 2021
Weight:550g
Dimensions:150mm x 230mm x 25mm
Series:Cambridge Studies in Advanced Mathematics
What They're Saying

Critics Review

‘an excellent resource for someone trying to enter the field of probabilistic number theory’ Bookshelf by Notices of the American Mathematical Society‘The book contains many exercises and three appendices presenting the material from analysis, probability and number theory that is used. Certainly the book is a good read for a mathematicians interested in the interaction between probability theory and number theory. The techniques used in the book appear quite advanced to us, so we would recommend the book for students at a graduate but not at an undergraduate level.’ Jörg Neunhäuserer, Mathematical Reviews‘The book is very well written - as expected by an author who has already contributed very widely used and important books - and certainly belongs to all libraries of universities and research institutes. It has all the attributes to make a classic textbook in this fascinating domain.’ Michael Th. Rassias, zbMATH

About The Author

Emmanuel Kowalski

Emmanuel Kowalski is Professor in the Mathematics Department of the Swiss Federal Institute of Technology, Zurich. He is the author of five previous books, including the widely cited Analytic Number Theory (2004) with H. Iwaniec, which is considered to be the standard graduate textbook for analytic number theory.

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