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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 By the early twentieth century, it had been superseded by "number theory".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 -
LMS Popular Lecture Series 2013, Addictive Number Theory
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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... -
Andrew Granville - 1/3 The pretentious approach to analytic number theory
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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. -
MathHistory3a: Greek number theory
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MathHistory22: Algebraic number theory and rings I
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Lec 4 | MIT 6.042J Mathematics for Computer Science, Fall 2010
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Number theory - geometrical connection (part 1)
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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.) -
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 -
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/ -
LMS Popular Lecture Series 2013, Addictive Number Theory
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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 ... -
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... -
Andrew Granville - 1/3 The pretentious approach to analytic number theory
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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. -
MathHistory3a: Greek number theory
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MathHistory22: Algebraic number theory and rings I
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Lec 4 | MIT 6.042J Mathematics for Computer Science, Fall 2010
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Number theory - geometrical connection (part 1)
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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.) -
Number Theory: The Prime Number Theorem, an introduction
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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 -
Progress in Prime Number Theory (Roger Heath-Brown)
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Pi (1998) -- Number Theory vs. Numerology
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The psycho-science thriller Pi, directed by Darren Aronofsky, has a fantastic scene where mathematician Maximillian Cohen (Sean Gullette) insists to his mentor Sol Robeson (Mark Margolis) that the answer to everything has something to do with the number 216. The number in Kabbalistic tradition is called the Shemhamphorasch, an epithet for a 216-letter name of God derived by medieval kabbalists from the Book of Exodus (chapter 14: 19-21) by reading the letters of three verses in a specific order using a Boustrophedon transform. The name is composed of 72 groups of three letters, each of these triplets being the name of an angel or intelligen
Introduction to Higher Mathematics - Lecture 10: Number Theory
- 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
LMS Popular Lecture Series 2013, Addictive Number Theory
- 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
Intro to Number Theory Part 1
- Duration: 9:59
- Updated: 05 Sep 2014
- author: cscgtuts
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
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- published: 14 Oct 2011
- views: 24113
- author: cscgtuts
Number Theory: Fermat's Little Theorem
- Duration: 10:35
- Updated: 05 Sep 2014
- author: Socratica
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
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- published: 12 Jan 2012
- views: 34018
- author: Socratica
MathHistory13: The number theory revival
- 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
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- published: 30 Apr 2012
- views: 10328
- author: njwildberger
Andrew Granville - 1/3 The pretentious approach to analytic number theory
- 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)
Lecture 11: Number Theory for PKC: Euclidean Algorithm, Euler's Phi Function & Euler's Theorem
- 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
MathHistory3a: Greek number theory
- 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
MathHistory22: Algebraic number theory and rings I
- 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
Lec 4 | MIT 6.042J Mathematics for Computer Science, Fall 2010
- 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 - geometrical connection (part 1)
- 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
Number Theory: The Prime Number Theorem, an introduction
- Duration: 2:01
- Updated: 17 Aug 2014
- author: Socratica
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
An Introduction to Number Theory : College Math
- 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
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
Progress in Prime Number Theory (Roger Heath-Brown)
- 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
Discrete Mathematics - Basic Number Theory
- Duration: 13:13
- Updated: 10 Oct 2014
http://wn.com/Discrete_Mathematics_-_Basic_Number_Theory
- published: 10 Oct 2014
- views: 54
From Quantum Physics to Number Theory
- Duration: 64:19
- Updated: 02 Sep 2014
- author: Cristiano Cavalcanti
Michael Atiyah.
http://wn.com/From_Quantum_Physics_to_Number_Theory
Mod-01 Lec-03 Introduction to Number Theory
- Duration: 63:30
- Updated: 09 Jul 2014
- author: nptelhrd
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
Number Theory - Factors Question with Explanation
- Duration: 7:01
- Updated: 23 Aug 2014
- author: 2IIM CAT Preparation
The sum of factors of a number is 124. What is the number? Explanation provided by Rajesh Balasubramanian (IITM, IIMB) 100%iler in CAT 2011 and 2012.
http://wn.com/Number_Theory_-_Factors_Question_with_Explanation
The sum of factors of a number is 124. What is the number? Explanation provided by Rajesh Balasubramanian (IITM, IIMB) 100%iler in CAT 2011 and 2012.
- published: 04 Mar 2014
- views: 672
- author: 2IIM CAT Preparation
Number Theory 34: Euler totient function
- Duration: 3:48
- Updated: 08 Jan 2015
http://wn.com/Number_Theory_34_Euler_totient_function
- published: 08 Jan 2015
- views: 0
Number Theory 40: Order of an integer modulo n
- Duration: 4:57
- Updated: 08 Jan 2015
http://wn.com/Number_Theory_40_Order_of_an_integer_modulo_n
- published: 08 Jan 2015
- views: 60
Elementary Number Theory - 1 - Introduction
- Duration: 5:02
- Updated: 25 Aug 2014
- author: Academy of One
What's going on everybody! Welcome to today's tutorial on elementary number theory. Today we are talking about what's gonna be in this unit. Visit: http://ac...
http://wn.com/Elementary_Number_Theory_-_1_-_Introduction
What's going on everybody! Welcome to today's tutorial on elementary number theory. Today we are talking about what's gonna be in this unit. Visit: http://ac...
- published: 01 Nov 2013
- views: 1532
- author: Academy of One
Number Theory- Greatest Common Divisor Euclidean
- Duration: 5:37
- Updated: 24 Jul 2013
- author: burny1
tell me if any problems or errors as usual.
http://wn.com/Number_Theory-_Greatest_Common_Divisor_Euclidean
Pi (1998) -- Number Theory vs. Numerology
- Duration: 1:10
- Updated: 03 Aug 2010
The psycho-science thriller Pi, directed by Darren Aronofsky, has a fantastic scene where mathematician Maximillian Cohen (Sean Gullette) insists to his mentor Sol Robeson (Mark Margolis) that the answer to everything has something to do with the number 216.
The number in Kabbalistic tradition is called the Shemhamphorasch, an epithet for a 216-letter name of God derived by medieval kabbalists from the Book of Exodus (chapter 14: 19-21) by reading the letters of three verses in a specific order using a Boustrophedon transform. The name is composed of 72 groups of three letters, each of these triplets being the name of an angel or intelligence.
As I've continued work on the following ToE ( http://www.scribd.com/doc/33829028/The-Scarcity-Hypothesis-v2-0-7 ). This scene has served as an excellent reminder that if we're to read qualities in to numbers. We must do so with rigor not arbitrary declarations of truth based on little more than assumptions.
http://wn.com/Pi_(1998)_--_Number_Theory_vs._Numerology
The psycho-science thriller Pi, directed by Darren Aronofsky, has a fantastic scene where mathematician Maximillian Cohen (Sean Gullette) insists to his mentor Sol Robeson (Mark Margolis) that the answer to everything has something to do with the number 216.
The number in Kabbalistic tradition is called the Shemhamphorasch, an epithet for a 216-letter name of God derived by medieval kabbalists from the Book of Exodus (chapter 14: 19-21) by reading the letters of three verses in a specific order using a Boustrophedon transform. The name is composed of 72 groups of three letters, each of these triplets being the name of an angel or intelligence.
As I've continued work on the following ToE ( http://www.scribd.com/doc/33829028/The-Scarcity-Hypothesis-v2-0-7 ). This scene has served as an excellent reminder that if we're to read qualities in to numbers. We must do so with rigor not arbitrary declarations of truth based on little more than assumptions.
- published: 03 Aug 2010
- views: 16493
- 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
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
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
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
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
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)
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
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
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
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
2:35
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
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
1:45
An Introduction to Number Theory : College Math
Subscribe Now:
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Watch More:
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published: 09 Nov 2012
An Introduction to Number Theory : College Math
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
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
- 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)
