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I chose to deal with the science of cryptography. Cryptography began in mathematics. Codes were developed, even from Caesar's time, based on number theory and mathematical principles. I decided to use those principles and designed a work that is encoded.
James Sanborn

Meaning of "number theory" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF NUMBER THEORY

number theory play
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GRAMMATICAL CATEGORY OF NUMBER THEORY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Number theory is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES NUMBER THEORY MEAN IN ENGLISH?

Number theory

Number theory is a branch of pure mathematics devoted primarily to the study of the integers, sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers or defined as generalizations of the integers. Integers can be considered either in themselves or as solutions to equations. Questions in number theory are often best understood through the study of analytical objects that encode properties of the integers, primes or other number-theoretic objects in some fashion. One may also study real numbers in relation to rational numbers, e.g., as approximated by the latter. The older term for number theory is arithmetic. By the early twentieth century, it had been superseded by "number theory". The use of the term arithmetic for number theory regained some ground in the second half of the 20th century, arguably in part due to French influence. In particular, arithmetical is preferred as an adjective to number-theoretic.

Definition of number theory in the English dictionary

The definition of number theory in the dictionary is the study of integers, their properties, and the relationship between integers.

WORDS THAT BEGIN LIKE NUMBER THEORY

number
Number 10
number crunching
number eight wire
number line
number off
number one
Number Ten
number two
number work
number-cruncher
numberable
numbered account
numberer
numbering
numbering machine
numberless
numberlessly
numberlessness
numberplate

WORDS THAT END LIKE NUMBER THEORY

atomic theory
automata theory
big bang theory
big-bang theory
chaos theory
complexity theory
conspiracy theory
decision theory
game theory
gauge theory
information theory
kinetic theory
model theory
probability theory
quantum theory
set theory
string theory
systems theory
the kinetic theory
theory
wave theory

Synonyms and antonyms of number theory in the English dictionary of synonyms

SYNONYMS

Translation of «number theory» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF NUMBER THEORY

Find out the translation of number theory to 25 languages with our English multilingual translator.
The translations of number theory from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «number theory» in English.

Translator English - Chinese

数论
1,325 millions of speakers

Translator English - Spanish

teoría de los números
570 millions of speakers

English

number theory
510 millions of speakers

Translator English - Hindi

संख्या सिद्धांत
380 millions of speakers
ar

Translator English - Arabic

نظرية الأعداد
280 millions of speakers

Translator English - Russian

теория чисел
278 millions of speakers

Translator English - Portuguese

teoria dos números
270 millions of speakers

Translator English - Bengali

সংখ্যা তত্ত্ব
260 millions of speakers

Translator English - French

théorie des nombres
220 millions of speakers

Translator English - Malay

Teori nombor
190 millions of speakers

Translator English - German

Zahlentheorie
180 millions of speakers

Translator English - Japanese

整数論
130 millions of speakers

Translator English - Korean

정수론
85 millions of speakers

Translator English - Javanese

Nomer teori
85 millions of speakers
vi

Translator English - Vietnamese

lý thuyết số
80 millions of speakers

Translator English - Tamil

எண் கோட்பாடு
75 millions of speakers

Translator English - Marathi

संख्या सिद्धांत
75 millions of speakers

Translator English - Turkish

sayı teorisi
70 millions of speakers

Translator English - Italian

teoria dei numeri
65 millions of speakers

Translator English - Polish

teoria liczb
50 millions of speakers

Translator English - Ukrainian

теорія чисел
40 millions of speakers

Translator English - Romanian

teoria numerelor
30 millions of speakers
el

Translator English - Greek

θεωρία Αριθμών
15 millions of speakers
af

Translator English - Afrikaans

getalleteorie
14 millions of speakers
sv

Translator English - Swedish

talteori
10 millions of speakers
no

Translator English - Norwegian

tallteori
5 millions of speakers

Trends of use of number theory

TRENDS

TENDENCIES OF USE OF THE TERM «NUMBER THEORY»

The term «number theory» is regularly used and occupies the 62.358 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
71
/100
The map shown above gives the frequency of use of the term «number theory» in the different countries.
Principal search tendencies and common uses of number theory
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «number theory».

FREQUENCY OF USE OF THE TERM «NUMBER THEORY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «number theory» during the past 500 years. Its implementation is based on analysing how often the term «number theory» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about number theory

EXAMPLES

QUOTES WITH «NUMBER THEORY»

Famous quotes and sentences with the word number theory.
1
James Sanborn
I chose to deal with the science of cryptography. Cryptography began in mathematics. Codes were developed, even from Caesar's time, based on number theory and mathematical principles. I decided to use those principles and designed a work that is encoded.

10 ENGLISH BOOKS RELATING TO «NUMBER THEORY»

Discover the use of number theory in the following bibliographical selection. Books relating to number theory and brief extracts from same to provide context of its use in English literature.
1
A Classical Introduction to Modern Number Theory
This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic ...
Kenneth Ireland, Michael Ira Rosen, 1990
2
Algebraic Number Theory
The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e. g. the class field theory on which 1 make further comments at the ...
Serge Lang, 1994
3
A Course in Number Theory and Cryptography
This is a revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the center of interest in applications of number theory, particularly in cryptography.
NEAL Koblitz, 1994
4
Advanced Number Theory
Moreover, the book abounds with numerical examples and more concrete, specific theorems than are found in most contemporary treatments of the subject. The book is divided into three parts.
Harvey Cohn, 2012
5
Unsolved Problems in Number Theory
This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity.
Richard Guy, 2004
6
Introduction to Analytic Number Theory
This work may not be translated or copied in whole or in part without the written permission of the publisher Springer Science+Business Media, LLC, except for brief excerpts in connection with reviews or scho1arly analysis.
Tom M. Apostol, 1976
7
A Course in Computational Algebraic Number Theory
Mathematics of Computing -- General.
Henri Cohen, 1993
8
Lectures on Number Theory
This volume is a translation of Dirichlet's Vorlesungen uber Zahlentheorie which includes nine supplements by Dedekind and an introduction by John Stillwell, who translated the volume.
Peter Gustav Lejeune Dirichlet, M. R. Dedekind
9
A Primer of Analytic Number Theory: From Pythagoras to Riemann
The text is supplemented by series of exercises to further develop the concepts, and includes brief sketches of more advanced ideas, to present contemporary research problems at a level suitable for undergraduates.
Jeffrey Stopple, 2003
10
Beginning Number Theory
Part of the new Digital Filmmaker Series! Digital Filmmaking: An Introductionis the first book in the newDigital Filmmaker Series.
Neville Robbins, 2006

10 NEWS ITEMS WHICH INCLUDE THE TERM «NUMBER THEORY»

Find out what the national and international press are talking about and how the term number theory is used in the context of the following news items.
1
The Singular Mind of Terry Tao
The Green-Tao theorem on primes was a similar collaboration. Green is a specialist in an area called number theory, and Tao originally trained ... «New York Times, Jul 15»
2
First Time In 21 Years: U.S. High Schoolers Win International …
The problems can include geometry, number theory and algebra, but calculators are not permitted. And even though no knowledge of higher ... «Care2.com, Jul 15»
3
Professor of permutations, percussion and poetry
These are essentially binomial coefficients that have extremely important implications in modern mathematics, in such areas as number theory, ... «Hindu Business Line, Jul 15»
4
Why Do Cicadas Emerge at Prime Intervals of 13 and 17 Years?
Mathematicians are fond of prime numbers. Infinitely numerous yet utterly unique, they play an integral role in number theory and a baffling one ... «io9, Jul 15»
5
MathFest Science-Policy Panel to feature Gates, Holt, Manderscheid
His research is in representation theory, with applications to number theory. He has won numerous teaching awards and received support from ... «EurekAlert, Jul 15»
6
Science Books every geek must read
Based on a theorem in number theory that was unproven for more than 350 years, 'Fermat's Last Theorem' is a story of one man's obsession ... «Digit, Jul 15»
7
A Beary Good Time at SLC
Last summer Peng won a scholarship to attend Stanford University to study Number Theory. This year, she will compete in this topic and show ... «Voice of the Valley, Jul 15»
8
Greenwich teen in team that upset China in international math contest
... geometry, combinatorics (combinations and permutations) and number theory. Mathletes are scored on a seven-point scale that asks for the ... «Greenwich Time, Jul 15»
9
1948 IPS officer Narasimhan dies at 92
A mathematician, he enjoyed tackling complex problems, especially those relating to projective geometry and number theory. His other ... «Times of India, Jul 15»
10
US triumphs in 'hardest ever' maths Olympiad
... days and contestants have four and a half hours to solve three problems per day, which can include geometry, number theory and algebra. «The Guardian, Jul 15»

REFERENCE
« EDUCALINGO. Number theory [online]. Available <https://educalingo.com/en/dic-en/number-theory>. Apr 2024 ».
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