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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 By the early twentieth century, it had been superseded by "number theory".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
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. -
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. -
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 ... -
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. -
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... -
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. -
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... -
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... -
MathHistory3a: Greek number theory
MathHistory3a: Greek number theoryMathHistory3a: Greek number theory
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural numbe... -
Number Theory 34: Euler totient function
Number Theory 34: Euler totient functionNumber Theory 34: Euler totient function
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Number theory - geometrical connection (part 1)
Number theory - geometrical connection (part 1)Number theory - geometrical connection (part 1)
This is a work i made long time ago, about the prime numbers. It became a wider study. My video got the attention of a math forum called www.cut-the-knot.org. The user Alexander Bogomolny, made an extended work about the process of the video. You can take a look at it here: http://www.cut-the-knot.org/Curriculum/Arithmetic/PrimesFromTriangle.shtml (IT'S NOT THE FIRST TIME THIS VIDEO IS UPLOADED TO YOUTUBE. I DID IT A YEAR AGO, IN A NOW DELETED ACCOUNT.)
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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. -
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. -
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 ... -
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. -
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... -
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. -
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... -
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... -
MathHistory3a: Greek number theory
MathHistory3a: Greek number theoryMathHistory3a: Greek number theory
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural numbe... -
Number Theory 34: Euler totient function
Number Theory 34: Euler totient functionNumber Theory 34: Euler totient function
-
Number theory - geometrical connection (part 1)
Number theory - geometrical connection (part 1)Number theory - geometrical connection (part 1)
This is a work i made long time ago, about the prime numbers. It became a wider study. My video got the attention of a math forum called www.cut-the-knot.org. The user Alexander Bogomolny, made an extended work about the process of the video. You can take a look at it here: http://www.cut-the-knot.org/Curriculum/Arithmetic/PrimesFromTriangle.shtml (IT'S NOT THE FIRST TIME THIS VIDEO IS UPLOADED TO YOUTUBE. I DID IT A YEAR AGO, IN A NOW DELETED ACCOUNT.) -
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... -
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 -
Applications of Number Theory, Part 1
Applications of Number Theory, Part 1Applications of Number Theory, Part 1
Background in number theory, specifically divisibility and primes, for applications of number theory. Euclidean algorithm, divisibility. -
From Quantum Physics to Number Theory
From Quantum Physics to Number TheoryFrom Quantum Physics to Number Theory
Michael Atiyah. -
Number Theory Project - MATH 2803 Cryptography
Number Theory Project - MATH 2803 CryptographyNumber Theory Project - MATH 2803 Cryptography
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Discrete Mathematics - Basic Number Theory
Discrete Mathematics - Basic Number TheoryDiscrete Mathematics - Basic Number Theory
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Number Theory- Basics 2
Number Theory- Basics 2Number Theory- Basics 2
How to find the number of divisors / factors of a given number? -
Factors, Factorials, and Divisibility - Sample GMAT Number Theory Question
Factors, Factorials, and Divisibility - Sample GMAT Number Theory QuestionFactors, Factorials, and Divisibility - Sample GMAT Number Theory Question
Try your hand at this challenging sample GMAT problem solving question involving factorials, divisibility, and least common multiples (LCM). I not only show ... -
Online Workshop On Number Theory for CAT 13 Students
Online Workshop On Number Theory for CAT 13 StudentsOnline Workshop On Number Theory for CAT 13 Students
Numerous CAT like questions solved in the simplest of the ways. 3 day intensive workshop covering all aspects of Number Theory relevant for CAT 13(2 hours a ...
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/
http://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...
http://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.
http://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
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.
http://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)
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...
http://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 ...
http://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
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.
http://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
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...
http://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
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.
http://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
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...
http://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
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...
http://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
MathHistory3a: Greek number theory
- Order: Reorder
- Duration: 42:04
- Updated: 03 Sep 2014
- author: njwildberger
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural numbe...
http://wn.com/MathHistory3a_Greek_number_theory
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural numbe...
- published: 25 Mar 2011
- views: 16239
- author: njwildberger
Number Theory 34: Euler totient function
- Order: Reorder
- Duration: 3:48
- Updated: 08 Jan 2015
http://wn.com/Number_Theory_34_Euler_totient_function
- published: 08 Jan 2015
- views: 0
Number theory - geometrical connection (part 1)
- Order: Reorder
- Duration: 2:35
- Updated: 27 Dec 2007
This is a work i made long time ago, about the prime numbers. It became a wider study.
My video got the attention of a math forum called www.cut-the-knot.org. The user Alexander Bogomolny, made an extended work about the process of the video. You can take a look at it here:
http://www.cut-the-knot.org/Curriculum/Arithmetic/PrimesFromTriangle.shtml
(IT'S NOT THE FIRST TIME THIS VIDEO IS UPLOADED TO YOUTUBE. I DID IT A YEAR AGO, IN A NOW DELETED ACCOUNT.)
http://wn.com/Number_theory_-_geometrical_connection_(part_1)
This is a work i made long time ago, about the prime numbers. It became a wider study.
My video got the attention of a math forum called www.cut-the-knot.org. The user Alexander Bogomolny, made an extended work about the process of the video. You can take a look at it here:
http://www.cut-the-knot.org/Curriculum/Arithmetic/PrimesFromTriangle.shtml
(IT'S NOT THE FIRST TIME THIS VIDEO IS UPLOADED TO YOUTUBE. I DID IT A YEAR AGO, IN A NOW DELETED ACCOUNT.)
- published: 27 Dec 2007
- views: 107771
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...
http://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
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.
http://wn.com/An_Introduction_to_Number_Theory_College_Math
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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
Applications of Number Theory, Part 1
- Order: Reorder
- Duration: 23:39
- Updated: 28 Feb 2014
- author: MAT 243 Discrete Mathematics
Background in number theory, specifically divisibility and primes, for applications of number theory. Euclidean algorithm, divisibility.
http://wn.com/Applications_of_Number_Theory,_Part_1
Background in number theory, specifically divisibility and primes, for applications of number theory. Euclidean algorithm, divisibility.
- published: 25 Feb 2014
- views: 316
- author: MAT 243 Discrete Mathematics
From Quantum Physics to Number Theory
- Order: Reorder
- Duration: 64:19
- Updated: 02 Sep 2014
- author: Cristiano Cavalcanti
Michael Atiyah.
http://wn.com/From_Quantum_Physics_to_Number_Theory
Number Theory Project - MATH 2803 Cryptography
- Order: Reorder
- Duration: 6:14
- Updated: 12 Dec 2013
http://wn.com/Number_Theory_Project_-_MATH_2803_Cryptography
- published: 12 Dec 2013
- views: 13
Discrete Mathematics - Basic Number Theory
- Order: Reorder
- Duration: 13:13
- Updated: 10 Oct 2014
http://wn.com/Discrete_Mathematics_-_Basic_Number_Theory
- published: 10 Oct 2014
- views: 54
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?
http://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
Factors, Factorials, and Divisibility - Sample GMAT Number Theory Question
- Order: Reorder
- Duration: 12:03
- Updated: 01 Sep 2014
- author: Dominate the GMAT
Try your hand at this challenging sample GMAT problem solving question involving factorials, divisibility, and least common multiples (LCM). I not only show ...
http://wn.com/Factors,_Factorials,_and_Divisibility_-_Sample_GMAT_Number_Theory_Question
Try your hand at this challenging sample GMAT problem solving question involving factorials, divisibility, and least common multiples (LCM). I not only show ...
- published: 25 Jan 2014
- views: 2746
- author: Dominate the GMAT
Online Workshop On Number Theory for CAT 13 Students
- Order: Reorder
- Duration: 117:38
- Updated: 04 May 2014
- author: VistaMindVideos
Numerous CAT like questions solved in the simplest of the ways. 3 day intensive workshop covering all aspects of Number Theory relevant for CAT 13(2 hours a ...
http://wn.com/Online_Workshop_On_Number_Theory_for_CAT_13_Students
Numerous CAT like questions solved in the simplest of the ways. 3 day intensive workshop covering all aspects of Number Theory relevant for CAT 13(2 hours a ...
- published: 27 Aug 2013
- views: 1760
- author: VistaMindVideos
- Playlist
- Chat
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
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
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
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
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
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
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
Andrew Granville - The pretentious approach to analytic number theory.- published: 14 Jul 2014
- views: 542
- author: Institut des Hautes Études Scientifiques (IHÉS)
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
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
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
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
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
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
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
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
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)
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
80:25
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://oc...
published: 31 Dec 2012
author: MIT OpenCourseWare
Lec 4 | MIT 6.042J Mathematics for Computer Science, Fall 2010
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
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
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
42:04
MathHistory3a: Greek number theory
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid...
published: 25 Mar 2011
author: njwildberger
MathHistory3a: Greek number theory
MathHistory3a: Greek number theory
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural numbe...- published: 25 Mar 2011
- views: 16239
- author: njwildberger
2:35
Number theory - geometrical connection (part 1)
This is a work i made long time ago, about the prime numbers. It became a wider study.
...
published: 27 Dec 2007
Number theory - geometrical connection (part 1)
Number theory - geometrical connection (part 1)
This is a work i made long time ago, about the prime numbers. It became a wider study. My video got the attention of a math forum called www.cut-the-knot.org. The user Alexander Bogomolny, made an extended work about the process of the video. You can take a look at it here: http://www.cut-the-knot.org/Curriculum/Arithmetic/PrimesFromTriangle.shtml (IT'S NOT THE FIRST TIME THIS VIDEO IS UPLOADED TO YOUTUBE. I DID IT A YEAR AGO, IN A NOW DELETED ACCOUNT.)- published: 27 Dec 2007
- views: 107771
- Lyrics: play full screen play karaoke
- Number Three - They Might Be Giants
- Number Three - Ben Harper
There's only two songs in me and I just wrote the third
Don't know where I got the inspiration or how I wrote the words
Spent my whole life just digging up my music's shallow grave
For the two songs in me and the third one I just made
A rich man once told me
";Hey life's a funny thing";
A poor man once told me
That he can't afford to speak
Now I'm in the middle like a bird without a beak 'cause
There's just two songs in me and I just wrote the third
Don't know where I got the inspiration or how I wrote the words
Spent my whole life just digging up my music's shallow grave
For the two songs in me and the third one I just made
So I went to the President
And I asked old what's-his-name
Has he ever gotten writer's block
Or something like the same
He just started talking
Like he was on TV
";If there's just two songs in ya, boy
Whaddaya want from me?";
So I bought myself some denim pants
And a silver guitar
But I politely told the ladies
";You'll still have to call me Sir
Because I have to keep my self-respect
I'll never be a star
Since there's just two songs in me
And this is Number Three";
(Instrumental)
