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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
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. -
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... -
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. -
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 ... -
Transcendental Numbers - Numberphile
Transcendental Numbers - NumberphileTranscendental Numbers - Numberphile
Numbers like e and Pi cannot be made using normal algebra. Featuring Australia's Numeracy Ambassador, Simon Pampena. Extra footage: http://youtu.be/dzerDfN2E7U Discussing transendental numbers, algebraic numbers, pi, e and other stuff. Simon's website: http://www.numbercrunch.com.au/ Root 2: http://www.youtube.com/watch?v=5sKah3pJnHI Pi Playlist: http://www.youtube.com/playlist?list=PL4870492ACBDC2E7C Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Videos by Br -
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... -
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... -
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... -
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. -
From Quantum Physics to Number Theory
From Quantum Physics to Number TheoryFrom Quantum Physics to Number Theory
Michael Atiyah. -
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... -
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.) -
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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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
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Introduction to Higher Mathematics - Lecture 10: Number Theory
- published: 28 Feb 2013
- views: 33290
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/
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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
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LMS Popular Lecture Series 2013, Addictive Number Theory
- published: 23 Apr 2014
- views: 868
- author: London Mathematical Society
Addictive Number Theory by Dr Vicky Neale Held at the Institute of Education in London.
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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
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Intro to Number Theory Part 1
- published: 14 Oct 2011
- views: 24113
- 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...
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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
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Andrew Granville - 1/3 The pretentious approach to analytic number theory
- published: 14 Jul 2014
- views: 542
- author: Institut des Hautes Études Scientifiques (IHÉS)
Andrew Granville - The pretentious approach to analytic number theory.
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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
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Number Theory: Fermat's Little Theorem
- published: 12 Jan 2012
- views: 34018
- 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 ...
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13:41
Transcendental Numbers - Numberphile
Numbers like e and Pi cannot be made using normal algebra.
Featuring Australia's Numeracy...
published: 12 Jun 2013
Transcendental Numbers - Numberphile
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Transcendental Numbers - Numberphile
- published: 12 Jun 2013
- views: 397692
Numbers like e and Pi cannot be made using normal algebra. Featuring Australia's Numeracy Ambassador, Simon Pampena. Extra footage: http://youtu.be/dzerDfN2E7U Discussing transendental numbers, algebraic numbers, pi, e and other stuff. Simon's website: http://www.numbercrunch.com.au/ Root 2: http://www.youtube.com/watch?v=5sKah3pJnHI Pi Playlist: http://www.youtube.com/playlist?list=PL4870492ACBDC2E7C Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Videos by Brady Haran A run-down of Brady's channels: http://periodicvideos.blogspot.co.uk/2012/06/here-are-my-channels.html
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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
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Lec 4 | MIT 6.042J Mathematics for Computer Science, Fall 2010
- published: 31 Dec 2012
- views: 21188
- 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...
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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
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MathHistory22: Algebraic number theory and rings I
- published: 19 May 2014
- views: 3574
- 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...
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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
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MathHistory3a: Greek number theory
- published: 25 Mar 2011
- views: 16239
- author: njwildberger
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural numbe...
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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
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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
For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com.
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64:19
From Quantum Physics to Number Theory
Michael Atiyah....
published: 18 Sep 2012
author: Cristiano Cavalcanti
From Quantum Physics to Number Theory
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From Quantum Physics to Number Theory
- published: 18 Sep 2012
- views: 7509
- author: Cristiano Cavalcanti
Michael Atiyah.
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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
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Number Theory: The Prime Number Theorem, an introduction
- published: 02 May 2013
- views: 2265
- 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...
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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)
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Number theory - geometrical connection (part 1)
- published: 27 Dec 2007
- views: 107771
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.)
Add to Playlist
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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)
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Progress in Prime Number Theory (Roger Heath-Brown)
- published: 10 Nov 2014
- views: 45
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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60:20
The Queen of Mathematics - Professor Raymond Flood
Carl Friedrich Gauss one of the greatest mathematicians, is said to have claimed: "Mathema...
published: 31 Jan 2013
The Queen of Mathematics - Professor Raymond Flood
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The Queen of Mathematics - Professor Raymond Flood
- published: 31 Jan 2013
- views: 64322
Carl Friedrich Gauss one of the greatest mathematicians, is said to have claimed: "Mathematics is the queen of the sciences and number theory is the queen of mathematics." The properties of primes play a crucial part in number theory. An intriguing question is how they are distributed among the other integers. The 19th century saw progress in answering this question with the proof of the Prime Number Theorem although it also saw Bernhard Riemann posing what many think to be the greatest unsolved problem in mathematics - the Rieman Hypothesis. The transcript and downloadable versions of the lecture are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and-events/the-queen-of-mathematics Gresham College has been giving free public lectures since 1597. This tradition continues today with all of our five or so public lectures a week being made available for free download from our website. There are currently nearly 1,500 lectures free to access or download from the website. Website: http://www.gresham.ac.uk Twitter: http://twitter.com/GreshamCollege Facebook: http://www.facebook.com/pages/Gresham-College/14011689941
The Queen of Mathematics - Professor Raymond Flood
Published: 31 Jan 2013
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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
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Mod-01 Lec-03 Introduction to Number Theory
- published: 17 May 2012
- views: 9278
- 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...
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1:45
An Introduction to Number Theory : College Math
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published: 09 Nov 2012
An Introduction to Number Theory : College Math
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An Introduction to Number Theory : College Math
- published: 09 Nov 2012
- views: 1614
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.
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7:01
Number Theory - Factors Question with Explanation
The sum of factors of a number is 124. What is the number? Explanation provided by Rajesh ...
published: 04 Mar 2014
author: 2IIM CAT Preparation
Number Theory - Factors Question with Explanation
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Number Theory - Factors Question with Explanation
- published: 04 Mar 2014
- views: 672
- 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.
Number Theory - Factors Question with Explanation
Published: 04 Mar 2014
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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
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MathHistory13: The number theory revival
- published: 30 Apr 2012
- views: 10328
- 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...
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20:30
Basic Concepts in Number Theory & Finite Fields: Part 1
It covers Euclid's Algorithm, Euclid's Algorithm: Tabular Method, Modular Arithmetic, Modu...
published: 27 Oct 2013
author: Scholartica Channel
Basic Concepts in Number Theory & Finite Fields: Part 1
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Basic Concepts in Number Theory & Finite Fields: Part 1
- published: 27 Oct 2013
- views: 769
- author: Scholartica Channel
It covers Euclid's Algorithm, Euclid's Algorithm: Tabular Method, Modular Arithmetic, Modular Arithmetic Operations, Modular Arithmetic Properties, Group, Cy...
Basic Concepts in Number Theory & Finite Fields: Part 1
Published: 27 Oct 2013
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13:50
Introduction to number theory | Prime numbers, divisors, modular arithmetic
This video is about prime numbers, divisors, modular arithmetic. Enjoy!...
published: 13 Oct 2014
Introduction to number theory | Prime numbers, divisors, modular arithmetic
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Introduction to number theory | Prime numbers, divisors, modular arithmetic
- published: 13 Oct 2014
- views: 9
This video is about prime numbers, divisors, modular arithmetic. Enjoy!
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3:34
Arithmetic Geometry - solving number theoretical problems using geometrical intuition
In the Department of Mathematical Sciences at Keio University, the Bannai Group, led by Pr...
published: 26 Mar 2012
author: keiouniversity
Arithmetic Geometry - solving number theoretical problems using geometrical intuition
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Arithmetic Geometry - solving number theoretical problems using geometrical intuition
- published: 26 Mar 2012
- views: 2580
- author: keiouniversity
In the Department of Mathematical Sciences at Keio University, the Bannai Group, led by Professor Kenichi Bannai, is conducting research in number theory. Nu...
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6:59
Number Theory Problem 6 - Perfect Square and Divisibility
Please visit http://www.usamath.com for math problem solving classes....
published: 16 Mar 2012
author: MathXpress
Number Theory Problem 6 - Perfect Square and Divisibility
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Number Theory Problem 6 - Perfect Square and Divisibility
- published: 16 Mar 2012
- views: 1710
- author: MathXpress
Please visit http://www.usamath.com for math problem solving classes.
Number Theory Problem 6 - Perfect Square and Divisibility
Published: 16 Mar 2012
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4:16
Number Theory 42: Definition of primitive root
...
published: 08 Jan 2015
Number Theory 42: Definition of primitive root
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
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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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Play in Full ScreenPlay Karaoke in Full ScreenNumber ThreeThey Might Be Giants
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"; -
Play in Full ScreenPlay Karaoke in Full ScreenNumber ThreeBen Harper
(Instrumental)
© WN 2015