- published: 18 Dec 2013
9 min 59 sec
Intro to Number Theory Part 1
Introduction to Number Theory and the Fundamental theorem of arithmetic.
Check out http:/...
published: 18 Dec 2013
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: 18 Dec 2013
%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: 18 Dec 2013
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: 18 Dec 2013
42 min 4 sec
MathHistory3a: Greek number theory
The ancient Greeks studied squares, triangular numbers, primes and perfect numbers. Euclid...
published: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 2013
7 min 4 sec
Gambling with Secrets: Part 2/8 (Prime Factorization)
This chapter explores numerals, divisibility & Euclid's fundamental theorem of arithmetic ...
published: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 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: 18 Dec 2013
%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: 18 Dec 2013
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: 18 Dec 2013
%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: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 2013
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: 18 Dec 2013