Asymptopia (Record no. 60504)
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000 -LEADER | |
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fixed length control field | 01973nam a22002417a 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240705b |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9781470438432 (PB) |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
Universal Decimal Classification number | 511 |
Item number | SPE |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Spencer, Joel |
245 ## - TITLE STATEMENT | |
Title | Asymptopia |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Providence |
Name of publisher | American Mathematical Society |
Year of publication | 2014 |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | xiv, 183p. |
490 ## - SERIES STATEMENT | |
Series statement | Student Mathematical Library |
Volume number/sequential designation | 71 |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc | Includes Bibliography (179-180) and Index |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | Chapter 0. An infinity of primes Chapter 1. Stirling's formula Chapter 2. Big Oh, little oh and all that Chapter 3. Integration in Asymptopia Chapter 4. From integrals to sums Chapter 5. Asymptotics of binomial coefficients $\binom {n}{k}$ Chapter 6. Unicyclic graphs Chapter 7. Ramsey numbers Chapter 8. Large deviations Chapter 9. Primes Chapter 10. Asymptotic geometry Chapter 11. Algorithms Chapter 12. Potpourri Chapter 13. Really Big Numbers! |
520 ## - SUMMARY, ETC. | |
Summary, etc | Asymptotics in one form or another are part of the landscape for every mathematician. The objective of this book is to present the ideas of how to approach asymptotic problems that arise in discrete mathematics, analysis of algorithms, and number theory. A broad range of topics is covered, including distribution of prime integers, Erdős Magic, random graphs, Ramsey numbers, and asymptotic geometry.<br/><br/>The author is a disciple of Paul Erdős, who taught him about Asymptopia. Primes less than n<br/>, graphs with v vertices, random walks of t steps—Erdős was fascinated by the limiting behavior as the variables approached, but never reached, infinity. Asymptotics is very much an art. This book is aimed at strong undergraduates, though it is also suitable for particularly good high school students or for graduates wanting to learn some basic techniques. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Combinatorial analysis |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Number theory -- Elementary number theory -- Primes |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
Topical term or geographic name as entry element | Mathematics |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Florescu, Laura |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | BOOKS |
Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type | Owner (If the Item is Gratis) |
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IMSc Library | IMSc Library | First Floor, Rack No: 28, Shelf No: 39 | 511 SPE | 78056 | BOOKS | Gratis by NBHM |