000 -LEADER |
fixed length control field |
01675nam a22002417a 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20190305131555.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
190118b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
ISBN |
9781470425838 |
040 ## - CATALOGING SOURCE |
Transcribing agency |
IIT Kanpur |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
eng |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.74 |
Item number |
K836a |
100 ## - MAIN ENTRY--AUTHOR NAME |
Personal name |
Koninck, Jean-Marie De |
245 ## - TITLE STATEMENT |
Title |
Analytic number theory |
Remainder of title |
exploring the anatomy of integers |
Statement of responsibility, etc |
Jean-Marie De Koninck and Florian Luca |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication |
Providence |
Name of publisher |
American Mathematical Society |
Year of publication |
2012 |
300 ## - PHYSICAL DESCRIPTION |
Number of Pages |
xviii, 414p |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Graduate studies in mathematics; v.134 |
520 ## - SUMMARY, ETC. |
Summary, etc |
The authors assemble a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behavior of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the abc conjecture along with some of its applications, and sieve methods. The book concludes with a whole chapter on the index of composition of an integer. One of this book's best features is the collection of problems at the end of each chapter that have been chosen carefully to reinforce the material. The authors include solutions to the even-numbered problems, making this volume very appropriate for readers who want to test their understanding of the theory presented in the book |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Number theory |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Euclidean algorithm |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Integrals |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Luca, Florian |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Books |