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Branches of Mathematics
Pure mathematics
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Number theory (or arithmetic) is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well as the properties of objects made out of integers (such as rational numbers) or defined as generalizations of the integers (such as, for example, 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).
The older term for number theory is arithmetic. By the early twentieth century, it had been superseded by "number theory". (The word "arithmetic" is used by the general public to mean "elementary calculations"; it has also acquired other meanings in mathematical logic, as in Peano arithmetic, and computer science, as in floating point arithmetic.) 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.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Number_theory
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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Andrew James Granville (born 1962) is a British mathematician, working in the field of number theory.
He has been a faculty member at the Université de Montréal since 2002. Before moving to Montreal he was a mathematics professor at University of Georgia (UGA) from 1991 until 2002. He was a section speaker in the 1994 International Congress of Mathematicians together with Carl Pomerance from UGA.
Granville received his Bachelor of Arts (Honours) (1983) and his Certificate of Advanced Studies (Distinction) (1984) from Trinity College, Cambridge University. He received his Ph.D. from Queen's University in 1987 and was inducted into the Royal Society of Canada in 2006.
Granville's work is mainly in number theory, in particular analytic number theory. Along with Carl Pomerance and W. R. (Red) Alford he proved the infinitude of Carmichael numbers in 1994. This proof was based on a conjecture given by Paul Erdős.
In 2008, he won the Chauvenet Prize from the Mathematical Association of America for his paper "It is easy to determine whether a given integer is prime".
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Andrew_Granville
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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Introduction to Higher Mathematics - Lecture 10: Number Theory
Introduction to Higher Mathematics - Lecture 10: Number Theory -
Intro to Number Theory Part 1
Intro to Number Theory Part 1Intro to Number Theory Part 1
Introduction to Number Theory and the Fundamental theorem of arithmetic. Check out http://www.cscgtuts.com/home for more videos and resources Don't forget to... -
LMS Popular Lecture Series 2013, Addictive Number Theory
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Addictive Number Theory by Dr Vicky Neale Held at the Institute of Education in London. -
MathHistory13: The number theory revival
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After the work of Diophantus, there was something of a lapse in interest in pure number theory for quite some while. Around 1300 Gersonides developed the con... -
Number Theory: Fermat's Little Theorem
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Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the theorem significantly. This theorem aids in dividing extremely large ... -
Andrew Granville - 1/3 The pretentious approach to analytic number theory
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Andrew Granville - The pretentious approach to analytic number theory. -
MathHistory22: Algebraic number theory and rings I
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In the 19th century, algebraists started to look at extension fields of the rational numbers as new domains for doing arithmetic. In this way the notion of a... -
Lecture 11: Number Theory for PKC: Euclidean Algorithm, Euler's Phi Function & Euler's Theorem
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For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com. -
Number Theory: The Prime Number Theorem, an introduction
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An introduction to the meaning and history of the prime number theorem - a fundamental result from analytic number theory. Narrated by Cissy Jones Artwork by... -
An Introduction to Number Theory : College Math
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Subscribe Now: http://www.youtube.com/subscription_center?add_user=Ehow Watch More: http://www.youtube.com/Ehow Number theory is actually a pretty intensive course that's in junior or senior levels of undergraduate college mathematics. Get an introduction to number theory with help from a longtime mathematics educator in this free video clip. Expert: Jimmy Chang Filmmaker: Christopher Rokosz Series Description: Topics like number theory will start to come into play as your mathematics career advances towards the college level and beyond. Learn about the ins and outs of college math with help from a longtime mathematics educator in this fr -
Number Theory- Basics 2
Number Theory- Basics 2Number Theory- Basics 2
How to find the number of divisors / factors of a given number? -
Number Theory 34: Euler totient function
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Mod-01 Lec-03 Introduction to Number Theory
Mod-01 Lec-03 Introduction to Number TheoryMod-01 Lec-03 Introduction to Number Theory
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit ht... -
Progress in Prime Number Theory (Roger Heath-Brown)
Progress in Prime Number Theory (Roger Heath-Brown)Progress in Prime Number Theory (Roger Heath-Brown)
Abstract: This lecture will discuss prime numbers and their history, along with some of the many open problems concerning them. There has been much exciting progress over the past few years, and the lecture will provide an overview of what has been achieved, and where the current areas of activity lie.
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Introduction to Higher Mathematics - Lecture 10: Number Theory
Introduction to Higher Mathematics - Lecture 10: Number TheoryIntroduction to Higher Mathematics - Lecture 10: Number Theory
In this lecture we delve into number theory, one of the oldest branches of mathematics that still has unsolved problems to this day. http://www.polymathlectures.org/ -
Intro to Number Theory Part 1
Intro to Number Theory Part 1Intro to Number Theory Part 1
Introduction to Number Theory and the Fundamental theorem of arithmetic. Check out http://www.cscgtuts.com/home for more videos and resources Don't forget to... -
LMS Popular Lecture Series 2013, Addictive Number Theory
LMS Popular Lecture Series 2013, Addictive Number TheoryLMS Popular Lecture Series 2013, Addictive Number Theory
Addictive Number Theory by Dr Vicky Neale Held at the Institute of Education in London. -
MathHistory13: The number theory revival
MathHistory13: The number theory revivalMathHistory13: The number theory revival
After the work of Diophantus, there was something of a lapse in interest in pure number theory for quite some while. Around 1300 Gersonides developed the con... -
Number Theory: Fermat's Little Theorem
Number Theory: Fermat's Little TheoremNumber Theory: Fermat's Little Theorem
Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the theorem significantly. This theorem aids in dividing extremely large ... -
Andrew Granville - 1/3 The pretentious approach to analytic number theory
Andrew Granville - 1/3 The pretentious approach to analytic number theoryAndrew Granville - 1/3 The pretentious approach to analytic number theory
Andrew Granville - The pretentious approach to analytic number theory. -
MathHistory22: Algebraic number theory and rings I
MathHistory22: Algebraic number theory and rings IMathHistory22: Algebraic number theory and rings I
In the 19th century, algebraists started to look at extension fields of the rational numbers as new domains for doing arithmetic. In this way the notion of a... -
Lecture 11: Number Theory for PKC: Euclidean Algorithm, Euler's Phi Function & Euler's Theorem
Lecture 11: Number Theory for PKC: Euclidean Algorithm, Euler's Phi Function & Euler's TheoremLecture 11: Number Theory for PKC: Euclidean Algorithm, Euler's Phi Function & Euler's Theorem
For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com. -
Number Theory: The Prime Number Theorem, an introduction
Number Theory: The Prime Number Theorem, an introductionNumber Theory: The Prime Number Theorem, an introduction
An introduction to the meaning and history of the prime number theorem - a fundamental result from analytic number theory. Narrated by Cissy Jones Artwork by... -
An Introduction to Number Theory : College Math
An Introduction to Number Theory : College MathAn Introduction to Number Theory : College Math
Subscribe Now: http://www.youtube.com/subscription_center?add_user=Ehow Watch More: http://www.youtube.com/Ehow Number theory is actually a pretty intensive course that's in junior or senior levels of undergraduate college mathematics. Get an introduction to number theory with help from a longtime mathematics educator in this free video clip. Expert: Jimmy Chang Filmmaker: Christopher Rokosz Series Description: Topics like number theory will start to come into play as your mathematics career advances towards the college level and beyond. Learn about the ins and outs of college math with help from a longtime mathematics educator in this fr -
Number Theory- Basics 2
Number Theory- Basics 2Number Theory- Basics 2
How to find the number of divisors / factors of a given number? -
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Number Theory 34: Euler totient functionNumber Theory 34: Euler totient function
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Mod-01 Lec-03 Introduction to Number Theory
Mod-01 Lec-03 Introduction to Number TheoryMod-01 Lec-03 Introduction to Number Theory
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Progress in Prime Number Theory (Roger Heath-Brown)
Progress in Prime Number Theory (Roger Heath-Brown)Progress in Prime Number Theory (Roger Heath-Brown)
Abstract: This lecture will discuss prime numbers and their history, along with some of the many open problems concerning them. There has been much exciting progress over the past few years, and the lecture will provide an overview of what has been achieved, and where the current areas of activity lie. -
Number Theory Problem 6 - Perfect Square and Divisibility
Number Theory Problem 6 - Perfect Square and DivisibilityNumber Theory Problem 6 - Perfect Square and Divisibility
Please visit http://www.usamath.com for math problem solving classes. -
Lec 4 | MIT 6.042J Mathematics for Computer Science, Fall 2010
Lec 4 | MIT 6.042J Mathematics for Computer Science, Fall 2010Lec 4 | MIT 6.042J Mathematics for Computer Science, Fall 2010
Lecture 4: Number Theory I Instructor: Marten van Dijk View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More informa... -
Basic Concepts in Number Theory & Finite Fields: Part 1
Basic Concepts in Number Theory & Finite Fields: Part 1Basic Concepts in Number Theory & Finite Fields: Part 1
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Elementary number theory - SAT Prep
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2-3.mov. -
Math Problem Solved #2 (Number Theory)
Math Problem Solved #2 (Number Theory)Math Problem Solved #2 (Number Theory)
The following problem came from a friend in need of math help. Disprove the statement: There exists an integer, "n" such that n^3 - n + 1 is even. The preced... -
CA- CPT- QA-Index Number Theory-Part 1-by Navkar Institute
CA- CPT- QA-Index Number Theory-Part 1-by Navkar InstituteCA- CPT- QA-Index Number Theory-Part 1-by Navkar Institute
Quantitative Aptitude Video lecture by Prof. Nirav Pandya. It contains a Chapter Index Number Especially designed By NAVKAR INSTITUTE as a part of online coa... -
GMAT Probability and Number Theory Problem Solving Question
GMAT Probability and Number Theory Problem Solving QuestionGMAT Probability and Number Theory Problem Solving Question
Question 4 of the Q-51 hard math series by 4GMAT. Concept tested primarily number of factors of a positive integer and probability. GMAT Practice. GMAT problem solving question. If two distinct integers a and b are picked from the first 100 positive integers and multiplied, what is the probability that the resulting number has EXACTLY 3 factors? A. 4/(25*99) B. 2/(25*99) C. 8/(25*99) D. 16/(25*99) E. 32/(25*99) -
Number Theory - Solving Problems Using Mods
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How to solve a linear congruence equation 10 20 Number Theory
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Introduction to Higher Mathematics - Lecture 10: Number Theory
- Order: Reorder
- Duration: 32:33
- Updated: 28 Feb 2013
In this lecture we delve into number theory, one of the oldest branches of mathematics that still has unsolved problems to this day.
http://www.polymathlectures.org/
wn.com/Introduction To Higher Mathematics Lecture 10 Number Theory
In this lecture we delve into number theory, one of the oldest branches of mathematics that still has unsolved problems to this day.
http://www.polymathlectures.org/
- published: 28 Feb 2013
- views: 33290
Intro to Number Theory Part 1
Introduction to Number Theory and the Fundamental theorem of arithmetic. Check out http://www.cscgtuts.com/home for more videos and resources Don't forget to...
wn.com/Intro To Number Theory Part 1
Introduction to Number Theory and the Fundamental theorem of arithmetic. Check out http://www.cscgtuts.com/home for more videos and resources Don't forget to...
- published: 14 Oct 2011
- views: 24113
- author: cscgtuts
LMS Popular Lecture Series 2013, Addictive Number Theory
- Order: Reorder
- Duration: 55:48
- Updated: 28 Aug 2014
- author: London Mathematical Society
Addictive Number Theory by Dr Vicky Neale Held at the Institute of Education in London.
wn.com/Lms Popular Lecture Series 2013, Addictive Number Theory
Addictive Number Theory by Dr Vicky Neale Held at the Institute of Education in London.
- published: 23 Apr 2014
- views: 868
- author: London Mathematical Society
MathHistory13: The number theory revival
- Order: Reorder
- Duration: 57:12
- Updated: 31 Aug 2014
- author: njwildberger
After the work of Diophantus, there was something of a lapse in interest in pure number theory for quite some while. Around 1300 Gersonides developed the con...
wn.com/Mathhistory13 The Number Theory Revival
After the work of Diophantus, there was something of a lapse in interest in pure number theory for quite some while. Around 1300 Gersonides developed the con...
- published: 30 Apr 2012
- views: 10328
- author: njwildberger
Number Theory: Fermat's Little Theorem
Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the theorem significantly. This theorem aids in dividing extremely large ...
wn.com/Number Theory Fermat's Little Theorem
Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the theorem significantly. This theorem aids in dividing extremely large ...
- published: 12 Jan 2012
- views: 34018
- author: Socratica
Andrew Granville - 1/3 The pretentious approach to analytic number theory
- Order: Reorder
- Duration: 68:49
- Updated: 04 Sep 2014
- author: Institut des Hautes Études Scientifiques (IHÉS)
Andrew Granville - The pretentious approach to analytic number theory.
wn.com/Andrew Granville 1 3 The Pretentious Approach To Analytic Number Theory
Andrew Granville - The pretentious approach to analytic number theory.
- published: 14 Jul 2014
- views: 542
- author: Institut des Hautes Études Scientifiques (IHÉS)
MathHistory22: Algebraic number theory and rings I
- Order: Reorder
- Duration: 48:27
- Updated: 04 Sep 2014
- author: njwildberger
In the 19th century, algebraists started to look at extension fields of the rational numbers as new domains for doing arithmetic. In this way the notion of a...
wn.com/Mathhistory22 Algebraic Number Theory And Rings I
In the 19th century, algebraists started to look at extension fields of the rational numbers as new domains for doing arithmetic. In this way the notion of a...
- published: 19 May 2014
- views: 3574
- author: njwildberger
Lecture 11: Number Theory for PKC: Euclidean Algorithm, Euler's Phi Function & Euler's Theorem
- Order: Reorder
- Duration: 91:02
- Updated: 21 Aug 2014
- author: Introduction to Cryptography by Christof Paar
For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com.
wn.com/Lecture 11 Number Theory For Pkc Euclidean Algorithm, Euler's Phi Function Euler's Theorem
For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com.
- published: 30 Jan 2014
- views: 4382
- author: Introduction to Cryptography by Christof Paar
Number Theory: The Prime Number Theorem, an introduction
An introduction to the meaning and history of the prime number theorem - a fundamental result from analytic number theory. Narrated by Cissy Jones Artwork by...
wn.com/Number Theory The Prime Number Theorem, An Introduction
An introduction to the meaning and history of the prime number theorem - a fundamental result from analytic number theory. Narrated by Cissy Jones Artwork by...
- published: 02 May 2013
- views: 2265
- author: Socratica
An Introduction to Number Theory : College Math
- Order: Reorder
- Duration: 1:45
- Updated: 09 Nov 2012
Subscribe Now:
http://www.youtube.com/subscription_center?add_user=Ehow
Watch More:
http://www.youtube.com/Ehow
Number theory is actually a pretty intensive course that's in junior or senior levels of undergraduate college mathematics. Get an introduction to number theory with help from a longtime mathematics educator in this free video clip.
Expert: Jimmy Chang
Filmmaker: Christopher Rokosz
Series Description: Topics like number theory will start to come into play as your mathematics career advances towards the college level and beyond. Learn about the ins and outs of college math with help from a longtime mathematics educator in this free video series.
wn.com/An Introduction To Number Theory College Math
Subscribe Now:
http://www.youtube.com/subscription_center?add_user=Ehow
Watch More:
http://www.youtube.com/Ehow
Number theory is actually a pretty intensive course that's in junior or senior levels of undergraduate college mathematics. Get an introduction to number theory with help from a longtime mathematics educator in this free video clip.
Expert: Jimmy Chang
Filmmaker: Christopher Rokosz
Series Description: Topics like number theory will start to come into play as your mathematics career advances towards the college level and beyond. Learn about the ins and outs of college math with help from a longtime mathematics educator in this free video series.
- published: 09 Nov 2012
- views: 1614
Number Theory- Basics 2
- Order: Reorder
- Duration: 9:31
- Updated: 16 Aug 2014
- author: Pathfinder Education Services Pvt. Ltd
How to find the number of divisors / factors of a given number?
wn.com/Number Theory Basics 2
How to find the number of divisors / factors of a given number?
- published: 07 May 2013
- views: 704
- author: Pathfinder Education Services Pvt. Ltd
Number Theory 34: Euler totient function
- Order: Reorder
- Duration: 3:48
- Updated: 08 Jan 2015
wn.com/Number Theory 34 Euler Totient Function
- published: 08 Jan 2015
- views: 0
Mod-01 Lec-03 Introduction to Number Theory
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit ht...
wn.com/Mod 01 Lec 03 Introduction To Number Theory
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit ht...
- published: 17 May 2012
- views: 9278
- author: nptelhrd
Progress in Prime Number Theory (Roger Heath-Brown)
- Order: Reorder
- Duration: 69:14
- Updated: 10 Nov 2014
Abstract: This lecture will discuss prime numbers and their history, along with some of the many open problems concerning them. There has been much exciting progress over the past few years, and the lecture will provide an overview of what has been achieved, and where the current areas of activity lie.
wn.com/Progress In Prime Number Theory (Roger Heath Brown)
Abstract: This lecture will discuss prime numbers and their history, along with some of the many open problems concerning them. There has been much exciting progress over the past few years, and the lecture will provide an overview of what has been achieved, and where the current areas of activity lie.
- published: 10 Nov 2014
- views: 45
Number Theory Problem 6 - Perfect Square and Divisibility
- Order: Reorder
- Duration: 6:59
- Updated: 15 Aug 2014
- author: MathXpress
Please visit http://www.usamath.com for math problem solving classes.
wn.com/Number Theory Problem 6 Perfect Square And Divisibility
Please visit http://www.usamath.com for math problem solving classes.
- published: 16 Mar 2012
- views: 1710
- author: MathXpress
Lec 4 | MIT 6.042J Mathematics for Computer Science, Fall 2010
- Order: Reorder
- Duration: 80:25
- Updated: 05 Sep 2014
- author: MIT OpenCourseWare
Lecture 4: Number Theory I Instructor: Marten van Dijk View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More informa...
wn.com/Lec 4 | Mit 6.042J Mathematics For Computer Science, Fall 2010
Lecture 4: Number Theory I Instructor: Marten van Dijk View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More informa...
- published: 31 Dec 2012
- views: 21188
- author: MIT OpenCourseWare
Basic Concepts in Number Theory & Finite Fields: Part 1
- Order: Reorder
- Duration: 20:30
- Updated: 15 Aug 2014
- author: Scholartica Channel
It covers Euclid's Algorithm, Euclid's Algorithm: Tabular Method, Modular Arithmetic, Modular Arithmetic Operations, Modular Arithmetic Properties, Group, Cy...
wn.com/Basic Concepts In Number Theory Finite Fields Part 1
It covers Euclid's Algorithm, Euclid's Algorithm: Tabular Method, Modular Arithmetic, Modular Arithmetic Operations, Modular Arithmetic Properties, Group, Cy...
- published: 27 Oct 2013
- views: 769
- author: Scholartica Channel
Elementary number theory - SAT Prep
- Order: Reorder
- Duration: 5:08
- Updated: 24 Jan 2013
- author: DOMEExamPrep
2-3.mov.
wn.com/Elementary Number Theory Sat Prep
Math Problem Solved #2 (Number Theory)
- Order: Reorder
- Duration: 7:58
- Updated: 29 Apr 2014
- author: mrjames113083
The following problem came from a friend in need of math help. Disprove the statement: There exists an integer, "n" such that n^3 - n + 1 is even. The preced...
wn.com/Math Problem Solved 2 (Number Theory)
The following problem came from a friend in need of math help. Disprove the statement: There exists an integer, "n" such that n^3 - n + 1 is even. The preced...
- published: 10 Nov 2008
- views: 21053
- author: mrjames113083
CA- CPT- QA-Index Number Theory-Part 1-by Navkar Institute
- Order: Reorder
- Duration: 37:01
- Updated: 22 Aug 2014
- author: Navkar Institute
Quantitative Aptitude Video lecture by Prof. Nirav Pandya. It contains a Chapter Index Number Especially designed By NAVKAR INSTITUTE as a part of online coa...
wn.com/Ca Cpt Qa Index Number Theory Part 1 By Navkar Institute
Quantitative Aptitude Video lecture by Prof. Nirav Pandya. It contains a Chapter Index Number Especially designed By NAVKAR INSTITUTE as a part of online coa...
- published: 20 Jun 2014
- views: 226
- author: Navkar Institute
GMAT Probability and Number Theory Problem Solving Question
- Order: Reorder
- Duration: 10:50
- Updated: 25 Feb 2015
Question 4 of the Q-51 hard math series by 4GMAT. Concept tested primarily number of factors of a positive integer and probability. GMAT Practice. GMAT problem solving question.
If two distinct integers a and b are picked from the first 100 positive integers and multiplied, what is the probability that the resulting number has EXACTLY 3 factors?
A. 4/(25*99)
B. 2/(25*99)
C. 8/(25*99)
D. 16/(25*99)
E. 32/(25*99)
wn.com/Gmat Probability And Number Theory Problem Solving Question
Question 4 of the Q-51 hard math series by 4GMAT. Concept tested primarily number of factors of a positive integer and probability. GMAT Practice. GMAT problem solving question.
If two distinct integers a and b are picked from the first 100 positive integers and multiplied, what is the probability that the resulting number has EXACTLY 3 factors?
A. 4/(25*99)
B. 2/(25*99)
C. 8/(25*99)
D. 16/(25*99)
E. 32/(25*99)
- published: 25 Feb 2015
- views: 1
Number Theory - Solving Problems Using Mods
- Order: Reorder
- Duration: 4:18
- Updated: 24 Apr 2014
- author: Ritvik Kharkar
wn.com/Number Theory Solving Problems Using Mods
How to solve a linear congruence equation 10 20 Number Theory
- Order: Reorder
- Duration: 27:45
- Updated: 20 Oct 2014
wn.com/How To Solve A Linear Congruence Equation 10 20 Number Theory
- published: 20 Oct 2014
- views: 300
- Playlist
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32:33
Introduction to Higher Mathematics - Lecture 10: Number Theory
In this lecture we delve into number theory, one of the oldest branches of mathematics tha...
published: 28 Feb 2013
Introduction to Higher Mathematics - Lecture 10: Number Theory
Introduction to Higher Mathematics - Lecture 10: Number Theory
- published: 28 Feb 2013
- views: 33290
9:59
Intro to Number Theory Part 1
Introduction to Number Theory and the Fundamental theorem of arithmetic. Check out http://...
published: 14 Oct 2011
author: cscgtuts
Intro to Number Theory Part 1
Intro to Number Theory Part 1
- published: 14 Oct 2011
- views: 24113
- author: cscgtuts
55:48
LMS Popular Lecture Series 2013, Addictive Number Theory
Addictive Number Theory by Dr Vicky Neale Held at the Institute of Education in London....
published: 23 Apr 2014
author: London Mathematical Society
LMS Popular Lecture Series 2013, Addictive Number Theory
LMS Popular Lecture Series 2013, Addictive Number Theory
- published: 23 Apr 2014
- views: 868
- author: London Mathematical Society
57:12
MathHistory13: The number theory revival
After the work of Diophantus, there was something of a lapse in interest in pure number th...
published: 30 Apr 2012
author: njwildberger
MathHistory13: The number theory revival
MathHistory13: The number theory revival
- published: 30 Apr 2012
- views: 10328
- author: njwildberger
10:35
Number Theory: Fermat's Little Theorem
Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the th...
published: 12 Jan 2012
author: Socratica
Number Theory: Fermat's Little Theorem
Number Theory: Fermat's Little Theorem
- published: 12 Jan 2012
- views: 34018
- author: Socratica
68:49
Andrew Granville - 1/3 The pretentious approach to analytic number theory
Andrew Granville - The pretentious approach to analytic number theory....
published: 14 Jul 2014
Andrew Granville - 1/3 The pretentious approach to analytic number theory
Andrew Granville - 1/3 The pretentious approach to analytic number theory
- published: 14 Jul 2014
- views: 542
- author: Institut des Hautes Études Scientifiques (IHÉS)
48:27
MathHistory22: Algebraic number theory and rings I
In the 19th century, algebraists started to look at extension fields of the rational numbe...
published: 19 May 2014
author: njwildberger
MathHistory22: Algebraic number theory and rings I
MathHistory22: Algebraic number theory and rings I
- published: 19 May 2014
- views: 3574
- author: njwildberger
91:02
Lecture 11: Number Theory for PKC: Euclidean Algorithm, Euler's Phi Function & Euler's Theorem
For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com...
published: 30 Jan 2014
Lecture 11: Number Theory for PKC: Euclidean Algorithm, Euler's Phi Function & Euler's Theorem
Lecture 11: Number Theory for PKC: Euclidean Algorithm, Euler's Phi Function & Euler's Theorem
- published: 30 Jan 2014
- views: 4382
- author: Introduction to Cryptography by Christof Paar
2:01
Number Theory: The Prime Number Theorem, an introduction
An introduction to the meaning and history of the prime number theorem - a fundamental res...
published: 02 May 2013
author: Socratica
Number Theory: The Prime Number Theorem, an introduction
Number Theory: The Prime Number Theorem, an introduction
- published: 02 May 2013
- views: 2265
- author: Socratica
1:45
An Introduction to Number Theory : College Math
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published: 09 Nov 2012
An Introduction to Number Theory : College Math
An Introduction to Number Theory : College Math
- published: 09 Nov 2012
- views: 1614
9:31
Number Theory- Basics 2
How to find the number of divisors / factors of a given number?...
published: 07 May 2013
Number Theory- Basics 2
Number Theory- Basics 2
- published: 07 May 2013
- views: 704
- author: Pathfinder Education Services Pvt. Ltd
63:30
Mod-01 Lec-03 Introduction to Number Theory
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science...
published: 17 May 2012
author: nptelhrd
Mod-01 Lec-03 Introduction to Number Theory
Mod-01 Lec-03 Introduction to Number Theory
- published: 17 May 2012
- views: 9278
- author: nptelhrd
69:14
Progress in Prime Number Theory (Roger Heath-Brown)
Abstract: This lecture will discuss prime numbers and their history, along with some of th...
published: 10 Nov 2014
Progress in Prime Number Theory (Roger Heath-Brown)
Progress in Prime Number Theory (Roger Heath-Brown)
- published: 10 Nov 2014
- views: 45
photo: NASA / ESA, The Hubble Heritage Team (STScI/AURA)
26 Sep 2015
Physicist Brian Greene has a wonderful essay in October’s Smithsonian magazine on the centennial of Albert Einstein’s general theory of relativity ... that many consider the final test of the general theory of relativity....
photo: AP / AP Photo
26 Sep 2015
Saudi Arabia's most senior cleric, the grand mufti, has said Thursday's stampede that killed more than 700 people at the annual Muslim pilgrimage to Mecca was beyond human control. He told the interior minister, Crown Prince Mohammed bin Nayef, that he was not to blame for the tragedy ... King Salman has ordered a safety review ... Hajj's safety concerns ... Iran has so far reported the greatest number of deaths among foreign nationals - 131 ... ....
photo: WN / Imran Nissar
26 Sep 2015
Starring Bollywood icon Priyanka Chopra, the ABC thriller follows a group of newbie FBI recruits, including Alex Parrish (Chopra), who is framed for the biggest terrorist attack on New York City since 9/11. [...] Chopra makes an impressive American debut as Alex ... > ....
photo: ESO / L. Calçada
27 Sep 2015
(CNN)This shouldn't be possible. Researchers say they've detected a supermassive black hole at the center of a newly found galaxy that's far bigger than current theories allow ... The galaxy, with the very clunky name of SAGE0536AGN, was discovered with NASA's Spitzer Space Telescope ... What they found blew away their theories about how galaxies evolve ... ....
photo: Public Domain / NASA, ESA, and The Hubble Heritage Team STScI/AURA)
25 Sep 2015
NASA has released an absolutely beautiful photo taken by the Hubble Space Telescope of the debris of a star that exploded 8,000 years ago. You’re looking at the Veil Nebula, a supernova remnant more than 2,000 light-years away ... Read this next....
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Public Technologies
25 Sep 2015
(Source. Nvidia Corporation). Moore’s Law. Number Theory. Quantum Mechanics. In the mind of Epic Games CEO Tim Sweeney, these ideas are connected. And they’ll all affect how visual computing evolves in the decades ahead. The good news. whether Moore’s Law as we know it keeps moving forward or not, great things are coming ... Sweeney is one of the pioneers of the modern gaming industry ... But he also cited many reasons for optimism ... distributed by....
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York University professors organize conference in memory of mathematician Lee Lorch (York University)
Public Technologies23 Sep 2015
(Source. York University) ... 28 to 30 in downtown Toronto ... Topics to be covered at the conference include special functions, orthogonal polynomials, Fourier analysis, analytic number theory, integral transforms, asymptotics, differential equations with applications and computations in mathematical biology, medical imaging, fluid dynamics, electromagnetics, probability, stochastic processes and statistics ... Lorch died on Feb ... distributed by....
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The Hindu
19 Sep 2015
In his fleeting passage through life, this giant uncovered enough pathways in number theory to keep mathematicians engaged even today, and lives on, 95 years after his tragic demise when he was just 32 ... G.H ... Ramanujan lived mathematics and breathed number theory ... How to make this challenge easier for Dev Patel? Ken Ono thought out an equation that had a number of symmetries and a structure which made it easier to memorise and write out....
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DNA India
15 Sep 2015
Following the untold story of Ramanujan and his contributions to Number Theory, Continued Fractions, and Infinite Series, the film also focuses on high ......
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Deccan Herald
15 Sep 2015
Following the untold story of Ramanujan and his contributions to Number Theory, Continued Fractions, and Infinite Series, the film also focuses on high science and the tragic repercussions of racism....
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The Hindu
14 Sep 2015
Love to rack your brains for decimals or fractions? Here is a chance to test your proficiency in numbers ... Thrust areas will be Geometry, Number Theory, Algebra and Combinatorics ... There is no prescribed application form. Principals of recognised schools should forward lists of participants, including details such as their names, class, residential address, phone numbers, e-mail and the centre, along with a registration fee of Rs ... ....
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IMDb
10 Sep 2015
... contributions mathematical analysis, number theory, infinite series, and continued fractions....
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Yahoo Daily News
10 Sep 2015
A group of healthy guys recently took on a task some people would envy. They consumed 6,000 calories a day, for science. Now, as a result of this study, scientists say they have a better idea of why people who are obese also tend to develop diabetes ... [7 Biggest Diet Myths] ... Scientists have a number of theories for why obesity leads to insulin resistance, including that obesity increases fatty acids in the blood, or promotes inflammation....
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Huffington Post
10 Sep 2015
By. Rachael Rettner. Published. 09/10/2015 10.40 AM EDT on LiveScience. A group of healthy guys recently took on a task some people would envy. They consumed 6,000 calories a day, for science ... (3.5 kilograms), on average. All of this added weight was fat ... Scientists have a number of theories for why obesity leads to insulin resistance, including that obesity increases fatty acids in the blood, or promotes inflammation ... ....
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Sporting Life
08 Sep 2015
Mystery Code, 3.30 Leicester ... A quick glance at the last few runnings of the opening maiden reveals useful performers such as Outlaw Country, Maverick Wave and Ibn Khaldun among the winners and a spectrum of familiar names from those in behind including Grumeti, Greatwood and Number Theory. As much as I would like to say that I can't see beyond Myopic in the 505, that would solely be because I'm easily amused by such puerile word play....
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Huffington Post
07 Sep 2015
And there are a number of theories that lead to this conclusion, such that even though not all will work in every court, the chances of winning these cases are growing ... Some courts are also recognizing that, since sex stereotyping is also illegal under Supreme Court precedent, discrimination on the basis of sexual orientation is illegal on this theory, too....
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