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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 By the early twentieth century, it had been superseded by "number theory".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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MathHistory13: The number theory revival
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MathHistory3a: Greek number theory
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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.) -
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Introduction to Higher Mathematics - Lecture 10: Number Theory
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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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Intro to Number Theory Part 1
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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... -
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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The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid stated the Fundamental theorem of Arithmetic: that a natural numbe... -
Number Theory: The Prime Number Theorem, an introduction
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In the 19th century, algebraists started to look at extension fields of the rational numbers as new domains for doing arithmetic. In this way the notion of a... -
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.) -
From Quantum Physics to Number Theory
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An Introduction to Number Theory : College Math
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Number Theory - Factors Question with Explanation
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Pi (1998) -- Number Theory vs. Numerology
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Introduction to Higher Mathematics - Lecture 10: Number Theory
- Order: Reorder
- Duration: 32:33
- Updated: 28 Feb 2013
In this lecture we delve into number theory, one of the oldest branches of mathematics that still has unsolved problems to this day.
http://www.polymathlectures.org/
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
- 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
Intro to Number Theory Part 1
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http://wn.com/Intro_to_Number_Theory_Part_1
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- published: 14 Oct 2011
- views: 24113
- author: cscgtuts
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)
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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
- 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
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
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: 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
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
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
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 17: Linear congruences
- Order: Reorder
- Duration: 8:47
- Updated: 08 Jan 2015
http://wn.com/Number_Theory_17_Linear_congruences
- published: 08 Jan 2015
- views: 3
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
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
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
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
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
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
Analysis, Spectra, and Number Theory - Discussion Session
- Order: Reorder
- Duration: 40:19
- Updated: 21 Jan 2015
December 15, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday.
This discussion session opens the conversation up to the audience to discuss current problems in number theory.
http://wn.com/Analysis,_Spectra,_and_Number_Theory_-_Discussion_Session
December 15, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday.
This discussion session opens the conversation up to the audience to discuss current problems in number theory.
- published: 21 Jan 2015
- views: 14
Number Theory - Factors Question with Explanation
- Order: Reorder
- 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
Pi (1998) -- Number Theory vs. Numerology
- Order: Reorder
- 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
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
Number Theory 1 - Infinitely Many Prime Numbers
- Order: Reorder
- Duration: 2:01
- Updated: 03 Sep 2014
- author: MathXpress
Please visit http://www.usamath.com for math problem solving classes. Prove that there are infinitely many prime numbers. This is one of the classic proofs i...
http://wn.com/Number_Theory_1_-_Infinitely_Many_Prime_Numbers
Please visit http://www.usamath.com for math problem solving classes. Prove that there are infinitely many prime numbers. This is one of the classic proofs i...
- published: 11 Nov 2011
- views: 3846
- author: MathXpress
- Playlist
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32:33
Introduction to Higher Mathematics - Lecture 10: Number Theory
In this lecture we delve into number theory, one of the oldest branches of mathematics tha...
published: 28 Feb 2013
Introduction to Higher Mathematics - Lecture 10: Number Theory
Introduction to Higher Mathematics - Lecture 10: Number Theory
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
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)
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
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
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
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
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
64:19
From Quantum Physics to Number Theory
Michael Atiyah....
published: 18 Sep 2012
author: Cristiano Cavalcanti
From Quantum Physics to Number Theory
From Quantum Physics to Number Theory
Michael Atiyah.- published: 18 Sep 2012
- views: 7509
- author: Cristiano Cavalcanti
photo: AP / Beso Gulashvili
15 Jun 2015
TBILISI, Georgia - Severe flooding in the Georgian capital left at least 12 people dead Sunday and triggered a big-game hunt across the city for lions, tigers, a hippopotamus, and other dangerous animals that escaped from Tbilisi's ravaged zoo. Residents were warned to stay indoors as police conducted the hunt, but fear deepened as night fell on the city of 1.1 million with some animals still on the loose ... "I feel frenzied ... ....
photo: AP / Claudio Bresciani
13 Jun 2015
STOCKHOLM (AP) - The only son of Sweden's King Carl XVI Gustaf and Queen Silvia has married his fiancee in a lavish ceremony in Stockholm. Prince Carl Philip and the former reality starlet and model Sofia Hellqvist, 30, tied the knot Saturday at the Royal Palace chapel before five European queens, a Japanese princess and dozens of other blue-blooded guests. The couple got engaged in June 2014 ... Previous Story ... Next Story ... Advertise Here ... ....
photo: AP / Nicholas K. Geranios
15 Jun 2015
Rachel Dolezal, the leader of the Spokane, Washington NAACP chapter has resigned amid furor over racial identity, according to the organization. lRelated US & World NewsSpokane NAACP leader Rachel Dolezal cancels meeting amid furorSee all related. 8. She was facing calls to step aside after her parents said the 37-year-old activist falsely portrayed herself as black for years ... ( Tina Susman ) ... Add a comment. 0 ... Associated Press. ....
photo: ESA / Rosetta/NAVCAM
15 Jun 2015
The Philae lander is back in action (Image. ESA/ATG medialab). What a wake-up call. On Saturday night, the German Aerospace Center (DLR) in Cologne received 85 seconds of incredibly good news. a data chirp from the missing European Space Agency lander Philae. Despite seven months adrift and alone on comet 67P/Churyumov-Gerasimenko since its bumpy landing last year, Philae is back and ready for science ... "The lander is ready for operations."...
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The Inquisitr
15 Jun 2015
New York Daily News reports that Brandon Brown, 22, was driving a Big Daddy ice cream truck through the Frederick housing complex off of Vermont Court, in Frederick Maryland, He exited the truck at around 5 p.m. A male approached Brown after he got out of the truck and shot him in the chest as children began to make a line to get ice cream ... Clark Pennington of the Frederick Police Department. “There are a number of theories ... ....
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The Guardian
15 Jun 2015
Barcelona study finds better working memory and reduced inattentiveness in children attending primary schools surrounded by greenery. A primary school sports day. Photograph. Angela Hampton Picture Library/Alamy. Sally Weale Education correspondent. Monday 15 June 2015 20.22 BST Last modified on Monday 15 June 2015 20.24 BST ... “There are a number of theories as to why cognitive development can be aided by such green spaces ... More news Topics....
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WorldNetDaily
06 Jun 2015
Richardson credits his development of the theory of an “Islamic Antichrist” to his experience as an evangelist ... In contrast, says Richardson, an Islamic Antichrist theory is more ... Thanks to my various Christian relatives, friends, books and TV shows, I have been exposed to quite a number of theories about the anti-Christ and the end times....
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How this brilliant scientist went from working at Subway to becoming one of the greatest mathematicians of the 21st century
Business Insider05 Jun 2015
He was 10 when he first learned about two famous number theory problems, Fermat's last theorem and the Goldbach conjecture ... When he wasn't teaching his popular calculus classes, where students called him "Tom," he thought about number theory ... Still in the field of number theory, I may not have only one problem to think about, but a couple of problems, like the distribution of the zeros of the zeta functions and the L-functions....
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The Guardian
05 Jun 2015
Daniel Ross. Only two Triple Crown winners have ever defeated as many as seven opponents in the Belmont. Which of American Pharoah’s rivals could play the villain?. Exercise rider Lorenzo Moralez gallops Frosted at Belmont Park on Thursday. Photograph. Garry Jones/AP ... It’s been so long, some have dismissed the Triple Crown as all but unattainable – an argument strung around a number of theories ... One he’s meeting for the first time ... Trainer ... ....
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noodls
03 Jun 2015
(Source. Princeton University) Bassler receives 2015 Shaw Prize in life science and medicine. Posted June 3, 2015; 03.45 p.m. by Morgan Kelly, Office of Communications. Bonnie Bassler ... 24 ceremony in Hong Kong ... In addition to Bassler, past Princeton faculty member Gerd Faltings, now the managing director of the Max Planck Institute for Mathematics in Germany, shared the Shaw Prize in mathematical sciences for his work in number theory....
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Canberra Times
03 Jun 2015
... company the Bastion Group which he part-owns has become a breeding ground for a number of former AFL employees. Those friends and colleagues have a number of theories regarding his absence - the main one being that Demetriou remains determined to give his successor and protege Gillon McLachlan full centre stage....
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Hong Kong Standard
01 Jun 2015
And the third goes to mathematicians who developed the number theory applied to daily cyber encryptions ... "But when their number reaches a certain threshold, then the bacteria feel that they are actually big enough a mass that they can attack ... Germany's Gerd Faltings and Polish-American Henryk Iwaniec, the laureates in mathematical sciences, introduced and developed the fundamental tools in number theory....
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Big News Network
01 Jun 2015
The cabin upgrade, like getting an upgrade on an airline, this is the holy grail of bragging rights in the cruise experience and regular cruise passengers have a number of theories of how ... ....
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South China Morning Post
01 Jun 2015
And the Mathematics prize was also awarded in equal shares to Professor Gerd Faltings, managing director of the Max Planck Institute for Mathematics in Bonn, Germany, and Professor Henryk Iwaniec of Rutgers University in the United States for developing tools in number theory to resolve classical problems with wide application in daily life, such as credit card or internet security coding systems....
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noodls
30 May 2015
(Source. Victoria Police). Sexual Crime Squad detectives are investigating after a woman was sexually assaulted during an aggravated burglary in Lancefield early yesterday morning ... The female victim was then taken into a bedroom where she was sexually assaulted and threatened ... Sexual Crime Squad Detective Sergeant Shane Manuell said investigators would look into a number of theories as to why the house was targeted ... Leonie Johnson ... (noodl....
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Seattle Post
30 May 2015
But a number of Wall Street economists pointed to GDI, or gross domestic income, as giving us a better picture of what's really going on out there. ... But there are actual, substantive reasons for economists and market participants to focus on GDI rather than the traditional GDP number. In theory, the 2 numbers should be the same, as both are designed to measure the aggregate growth of the economy ... Seasonal adjustments....
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The Inquisitr
29 May 2015
So Who Is Ditrianum?. According to the Washington Post, Ditrianum is “a Netherlands-based non-profit organization initially founded to investigate through number analysis energies that surround us everywhere and to promote the science of number theory and numerology to a broader public.” Ditrianum is run by founder Frank Hoogerbeets ... There is no reason to fear, but there is every reason to be on alert and prepared.” ... ....
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- 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)
