9 min 59 sec
Intro to Number Theory Part 1
Introduction to Number Theory and the Fundamental theorem of arithmetic.
Check out http:/...
published: 21 Feb 2014
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 Subscribe!- published: 21 Feb 2014
%s hours 11 min 14 sec
New Theories Reveal the Nature of Numbers
Follow us on Facebook: http://www.Facebook.com/EmoryUniversity
Follow us on Twitter: http:...
published: 21 Feb 2014
New Theories Reveal the Nature of Numbers
New Theories Reveal the Nature of Numbers
Follow us on Facebook: http://www.Facebook.com/EmoryUniversity Follow us on Twitter: http://www.Twitter.com/EmoryUniversity Follow us on Google+: http://www.Gplus.to/Emory Emory math professor Ken Ono explains major breakthroughs in our understanding of partition numbers, the basis for adding and counting. Ono and his colleagues discovered that partition numbers behave like fractals, and they devised the first finite formula to calculate the partitions of any number. These new theories were hundreds of years in the making, and answer some famous old questions in math. To learn more, visit: www.emory.edu/esciencecommons.- published: 21 Feb 2014
42 min 4 sec
MathHistory3a: Greek number theory
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid...
published: 21 Feb 2014
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 number could be factored into primes in essentially a unique way. We also discuss the Euclidean algorithm for finding a greatest common divisor, and the related theory of continued fractions. Finally we discuss Pell's equation, arising in the famous Cattle-problem of Archimedes.- published: 21 Feb 2014
57 min 12 sec
MathHistory13: The number theory revival
After the work of Diophantus, there was something of a lapse in interest in pure number th...
published: 21 Feb 2014
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 connection between the Binomial theorem and combinatorics, and then in the 17th century the topic was again taken up, notably by Fermat, and then by Euler, Lagrange, Legendre and Gauss. We discuss several notable results of Fermat, including of course his famous last theorem, also his work on sums of squares, Pell's equation, primes, and rational points on curves. The rational parametrization of the Folium of Descartes is shown, using the technique of Fermat. We also state Fermat's little theorem using the modular arithmetic language introduced by Gauss.- published: 21 Feb 2014
2 min 35 sec
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...
published: 21 Feb 2014
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: 21 Feb 2014
7 min 4 sec
Gambling with Secrets: Part 2/8 (Prime Factorization)
This chapter explores numerals, divisibility & Euclid's fundamental theorem of arithmetic ...
published: 21 Feb 2014
Gambling with Secrets: Part 2/8 (Prime Factorization)
Gambling with Secrets: Part 2/8 (Prime Factorization)
This chapter explores numerals, divisibility & Euclid's fundamental theorem of arithmetic (prime factorization) from a Caveman's perspective.- published: 21 Feb 2014
7 min 58 sec
Math Problem Solved #2 (Number Theory)
The following problem came from a friend in need of math help.
Disprove the statement:
Th...
published: 21 Feb 2014
Math Problem Solved #2 (Number Theory)
Math Problem Solved #2 (Number Theory)
The following problem came from a friend in need of math help. Disprove the statement: There exists an integer, "n" such that n^3 - n + 1 is even. The preceding was disproved for ALL "n" by showing that no matter what number is used for "n", the result will always be odd.- published: 21 Feb 2014
32 min 33 sec
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: 21 Feb 2014
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: 21 Feb 2014
%s hours 18 min 37 sec
Lecture 13 - Number Theory
This is Lecture 13 of the COMP300E (Programming Challenges) course taught by Professor Ste...
published: 21 Feb 2014
Lecture 13 - Number Theory
Lecture 13 - Number Theory
This is Lecture 13 of the COMP300E (Programming Challenges) course taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Hong Kong University of Science and Technology in 2009. The lecture slides are available at: http://www.algorithm.cs.sunysb.edu/programmingchallenges/pdf/week13.pdf More information may be found here: http://www.algorithm.cs.sunysb.edu/programmingchallenges/- published: 21 Feb 2014
%s hours 3 min 30 sec
Mod-01 Lec-03 Introduction to Number Theory
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science...
published: 21 Feb 2014
Mod-01 Lec-03 Introduction to Number Theory
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 http://nptel.iitm.ac.in- published: 21 Feb 2014
4 min 14 sec
Computational Number Theory (Prime Adventure part 1)
Prime Adventure: Learn how to build algorithms (and write code!) which solve number theore...
published: 21 Feb 2014
Computational Number Theory (Prime Adventure part 1)
Computational Number Theory (Prime Adventure part 1)
Prime Adventure: Learn how to build algorithms (and write code!) which solve number theoretic challenges such as prime factorization. Follow the rest of this adventure on Khan Academy: http://www.khanacademy.org/cs/prime-adventure-level-1/1018672065- published: 21 Feb 2014
1 min 10 sec
Pi (1998) -- Number Theory vs. Numerology
The psycho-science thriller Pi, directed by Darren Aronofsky, has a fantastic scene where ...
published: 21 Feb 2014
Pi (1998) -- Number Theory vs. Numerology
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: 21 Feb 2014
Vimeo results:
3:24
Slapfisk
Timelapse of the band Number Theory at home in the Audiotoir.
Music by Number Theory
Vid...
published: 04 Mar 2010
author: Hershal
Slapfisk
Timelapse of the band Number Theory at home in the Audiotoir.
Music by Number Theory
Video by Hershal
http://www.myspace.com/number.theory
60:20
The Queen of Mathematics - Professor Raymond Flood
Carl Friedrich Gauss one of the greatest mathematicians, is said to have claimed: "Mathema...
published: 01 Feb 2013
author: Gresham College
The Queen of Mathematics - Professor Raymond Flood
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.
This is a part of the lecture series, Shaping Modern Mathematics.
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: gresham.ac.uk
Twitter: twitter.com/GreshamCollege
Facebook: facebook.com/pages/Gresham-College/14011689941
27:33
What is ... a Modular form?
This is Anil Aryasomayajula's talk "What is ... a Modular form?" at the "What is ...?" sem...
published: 12 May 2011
author: Berlin Mathematical School
What is ... a Modular form?
This is Anil Aryasomayajula's talk "What is ... a Modular form?" at the "What is ...?" seminar. The talk was given on Friday, April 15, 2011, 11:45am at the BMS Loft at Urania.
ABSTRACT:
Modular forms are complex analytic functions on the upper half plane satisfying a certain kind of functional equation and growth condition. In this talk we see how the theory of modular forms answers a classical problem in number theory, namely: "Which natural numbers can be represented as the sum of four squares, and in how many ways can that be done."
For more "What is ...?" seminar videos, visit math.fu-berlin.de/w/Math/WhatIsSeminar.
0:57
The Mermaids - Trailer
The life of Nikki - nerdy and nearly invisible math student - consists entirely of numbers...
published: 07 Oct 2012
author: BuskFilms
The Mermaids - Trailer
The life of Nikki - nerdy and nearly invisible math student - consists entirely of numbers and theories. To combat this, her therapist advises Nikki to enroll in a university sports class to exercise social interaction in a playful way. American football is the only class that‘s not full, she finds herself on the field of the Mermaids. As she struggles through her training sessions, Nikki become friends with her teammate Leo and starts to fancy the stunning quarterback Tina. Leo encourages Nikki to support the team with her tactical talent, but when Nikki suggests new strategies to coach Jessi, she soon realizes that she‘d better keep out of Jessi‘s way.
Watch the full film here: http://buskfilms.com/films/the-mermaids/
