MARC details
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03617nam a22002657a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240626172301.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240626b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470419172 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511 |
| Item number |
TEN-P |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Tenenbaum, Gerald. |
| 245 ## - TITLE STATEMENT |
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| Title |
Prime numbers and their distribution |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Hyderabad : |
| Name of publisher, distributor, etc. |
Universities Press, |
| Date of publication, distribution, etc. |
2024. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xix, 115p. : |
| Other physical details |
illustrations ; |
| Dimensions |
22 cm. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Student mathematical library, |
| Volume/sequential designation |
volume 6 |
| International Standard Serial Number |
1520-9121 ; |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (p. 113-115). |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
We have been curious about numbers—and prime numbers—since antiquity. One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness.<br/><br/>There are two ways in which the book is exceptional. First, some familiar topics are covered with refreshing insight and/or from new points of view. Second, interesting recent developments and ideas are presented that shed new light on the prime numbers and their distribution among the rest of the integers.<br/><br/>The book begins with a chapter covering some classic topics, such as quadratic residues and the Sieve of Eratosthenes. Also discussed are other sieves, primes in cryptography, twin primes, and more.<br/><br/>Two separate chapters address the asymptotic distribution of prime numbers. In the first of these, the familiar link between ζ(s)<br/> and the distribution of primes is covered with remarkable efficiency and intuition. The later chapter presents a walk through an elementary proof of the Prime Number Theorem. To help the novice understand the “why” of the proof, connections are made along the way with more familiar results such as Stirling's formula.<br/><br/>A most distinctive chapter covers the stochastic properties of prime numbers. The authors present a wonderfully clever interpretation of primes in arithmetic progressions as a phenomenon in probability. They also describe Cramér's model, which provides a probabilistic intuition for formulating conjectures that have a habit of being true. In this context, they address interesting questions about equipartition modulo 1<br/> for sequences involving prime numbers. The final section of the chapter compares geometric visualizations of random sequences with the visualizations for similar sequences derived from the primes. The resulting pictures are striking and illuminating. The book concludes with a chapter on the outstanding big conjectures about prime numbers.<br/><br/>This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians. This book is the English translation of the French edition. |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
Advanced undergraduates, graduate students, and research mathematicians. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Numbers, Prime. |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
France, Michel Mendès |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of contents |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/stml-6-prev.pdf?_gl=1*v9czcg*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQwMDQxMy40LjEuMTcxOTQwMTQzNC4wLjAuMA..">https://www.ams.org/bookstore/pspdf/stml-6-prev.pdf?_gl=1*v9czcg*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQwMDQxMy40LjEuMTcxOTQwMTQzNC4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/653060.The_Prime_Numbers_and_Their_Distribution_Student_Mathematical_Library_Vol_6_?from_search=true&from_srp=true&qid=5LnFWfkwqF&rank=1#CommunityReviews">https://www.goodreads.com/book/show/653060.The_Prime_Numbers_and_Their_Distribution_Student_Mathematical_Library_Vol_6_?from_search=true&from_srp=true&qid=5LnFWfkwqF&rank=1#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
NBHM Books |
