000 -LEADER |
fixed length control field |
03784nam a22004095i 4500 |
001 - CONTROL NUMBER |
control field |
19482928 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240702162314.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
170206s2017 nyu 000 0 eng |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2017933173 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781680945867 [paperback] |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
DLC |
Language of cataloging |
eng |
Description conventions |
rda |
Transcribing agency |
DLC |
042 ## - AUTHENTICATION CODE |
Authentication code |
pcc |
245 00 - TITLE STATEMENT |
Title |
Essentials of number theory / |
Statement of responsibility, etc |
[edited by] Maria Catherine C. Borres. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
New York, NY : |
Name of publisher, distributor, etc |
Arcler Press LLC, |
Date of publication, distribution, etc |
c2017. |
263 ## - PROJECTED PUBLICATION DATE |
Projected publication date |
1703 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xiii, 254 pages : |
Other physical details |
illustrations (black and white) ; |
Dimensions |
22 cm. |
336 ## - CONTENT TYPE |
Source |
rdacontent |
Content type term |
text |
337 ## - MEDIA TYPE |
Source |
rdamedia |
Media type term |
unmediated |
338 ## - CARRIER TYPE |
Source |
rdacarrier |
Carrier type |
volume |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references. |
505 ## - FORMATTED CONTENTS NOTE |
Formatted contents note |
1 Introduction to number -- 2 Number theory: an overview -- 3 Algebraic number theory -- 4 Analytic number theory -- 5 Geometry of numbers -- 6 Computational number theory -- 7 Transcendental number theory. |
520 ## - SUMMARY, ETC. |
Summary, etc |
"Number theory is a vast and fascinating field of mathematics, sometimes called "higher arithmetic", consisting of the study of the properties of whole numbers. Primes and prime factorization are especially important in number theory, as are a number of functions such as the divisor function, Riemann zeta function, and totient function. Number theory has always fascinated amateurs as well as professional mathematicians. In contrast to other branches of mathematics, many of the problems and theorems of number theory can be understood by laypersons, although solutions to the problems and proofs of the theorems often required a sophisticated mathematical background. Until the mid-20th century, number theory was considered the purest branch of mathematics, with no direct applications to the real world. The advent of digital computers and digital communications revealed that number theory could provide unexpected answers to real-world problems. At the same time, improvements in computer technology enabled number theorists to make remarkable advances in factoring large numbers, determining primes, testing conjectures, and solving numerical problems once considered out of reach. Modern number theory is a broad subject that is classified into subheadings such as elementary number theory, algebraic number theory, analytic number theory, geometric number theory, and probabilistic number theory. These categories reflect the methods used to address problems concerning the integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (e.g., the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in some fashion (analytic number theory). One may also study real numbers in relation to rational numbers, e.g., as approximated by the latter (Diophantine approximation)."--Provided by the publisher |
521 ## - TARGET AUDIENCE NOTE |
Target audience note |
Adult |
541 ## - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Source of acquisition |
Donation |
Deans/Chairperson |
|
Department |
College of Computer Studies |
Subject Category |
Computer Studies : Information Technology |
541 ## - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Source of acquisition |
Donation |
Deans/Chairperson |
|
Department |
College of Computer Studies |
Subject Category |
Computer Studies : Information Technology |
541 ## - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Source of acquisition |
Donation |
Deans/Chairperson |
|
Department |
College of Computer Studies |
Subject Category |
Computer Studies : Information Technology |
546 ## - LANGUAGE NOTE |
Language note |
Text in English |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Borres, Maria Catherine C., |
Relator term |
editor. |
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
a |
0 |
b |
ibc |
c |
orignew |
d |
2 |
e |
epcn |
f |
20 |
g |
y-gencatlg |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Type of record |
Book |
998 ## - LOCAL CONTROL INFORMATION (RLIN) |
Encoded by |
Janna [new] |
Date encoded |
07/02/2024 |
998 ## - LOCAL CONTROL INFORMATION (RLIN) |
Encoded by |
Janna [added] |
Date encoded |
07/02/2024 |
998 ## - LOCAL CONTROL INFORMATION (RLIN) |
Encoded by |
Janna [added] |
Date encoded |
07/02/2024 |