-
Introduction to Number Theory | Math
This is a Bullis Student Tutors video -- made by students for students.
Here we give a brief introduction to the branch of math known as number theory.
Email: [email protected]
YouTube Channel: https://www.youtube.com/user/bullisstudenttutors
published: 30 Apr 2014
-
Number Theory is Impossible Without These 7 Things
📊 Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! Our email: [email protected]
📈 Check out my Udemy courses (you may find something that interests you 😉): https://www.udemy.com/user/luca-di-beo/
🥹 Consider supporting us on Patreon:
https://www.patreon.com/user?u=86646021
😎 Become a member to have exclusive access:
https://www.youtube.com/channel/UC3Z1rXCFFadHw69-PZpQRYQ/join
🔔 Subscribe:
https://www.youtube.com/channel/UC3Z1rXCFFadHw69-PZpQRYQ?sub_confirmation=1
_______________________________________________________
MATH CHALLENGE: Try to prove Fermat's Last Theorem for the case n=3, namely: there exist no positive integers a, b, c such that a^3+b^3=c^3.
----------------------------------------------
🌟 Number Theory Origi...
published: 01 Jun 2024
-
Every Type of Math Explained in 9 Minutes.
Every type of math gets explained in 9 minutes.
I explain interesting things that I learn. This video was inspired by The Paint Explainer.
Like, Comment, and Subscribe if you enjoyed the video.
Arithmetic - 0:00
Algebra - 0:20
Geometry - 0:43
Trigonometry - 1:13
Calculus - 1:46
Statistics - 2:14
Number Theory - 2:45
Linear Algebra - 3:41
Differential Equations - 4:12
Topology - 4:50
Logic - 5:19
Mathematical Physics - 5:48
Theory of Computation - 6:10
Information Theory - 6:40
Game Theory - 7:22
Music by Trygve Larsen from Pixabay
published: 09 Feb 2024
-
The Oldest Unsolved Problem in Math
Do odd perfect numbers exist? Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.
Special thanks to our Patreon supporters! Join this list to help us keep our videos free, forever:
https://ve42.co/PatreonDEB
A massive thank you to Prof. Pace Nielsen for all his time and help with this video.
A big thank you to Dr. Asaf Karagila, Pascal Ochem, Prof. Tianxin Cai, and Prof. William Dunham for their expertise and help.
To try GIMPS out yourself: https://ve42.co/GIMPS
These sources were particularly helpful:
Perfect numbers via MacTutor - https://ve42.co/MTPerfect
Cai, T. (2022). Perfect numbers and fibonacci sequences. World Scientific. - https://ve42.co/Cai2022
Dunham, W. (2022). Euler: The mas...
published: 08 Mar 2024
-
Number Theory: Queen of Mathematics
Mathematician Sarah Hart will be giving a series of lectures on Maths and Money.
Register to watch her lectures here: https://www.gresham.ac.uk/watch-now/series/maths-money
--------------------------------
In which years does February have five Sundays? How many right-angled triangles with whole-number sides have a side of length 29? How many shuffles are needed to restore the order of the cards in a pack with two Jokers? Are any of the numbers 11, 111, 1111, 11111, . . . perfect squares? Can one construct a regular polygon with 100 sides if measuring is forbidden? How do prime numbers help to keep our credit cards secure?
These are all questions in number theory, the branch of mathematics that’s primarily concerned with our counting numbers, 1, 2, 3, etc. Of particular importance are ...
published: 08 Oct 2020
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Something Strange Happens When You Keep Squaring
There's a strange number system, featured in the work of a dozen Fields Medalists, that helps solve problems that are intractable with real numbers. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.
If you're looking for a molecular modeling kit, try Snatoms - a kit I invented where the atoms snap together magnetically: https://snatoms.com
▀▀▀
References:
Koblitz, N. (2012). p-adic Numbers, p-adic Analysis, and Zeta-Functions (Vol. 58). Springer Science & Business Media.
Amazing intro to p-adic numbers here: https://youtu.be/3gyHKCDq1YA
Excellent series on p-adic numbers: https://youtu.be/VTtBDSWR1Ac
Great videos by James Tanton: @JamesTantonMath
▀▀▀
Special thanks to our Patreon supporter...
published: 06 Jun 2023
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The Most Efficient Way for Beginners to Start Understanding Number Theory!
A systematic introduction to the deep subject of Number Theory, designed for beginners. Our carefully designed problems will lead you to understand the concepts that most commonly appear in contests ranging from MATHCOUNTS to the AMC 8, 10, and 12.
published: 06 Dec 2019
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Introduction to number theory lecture 1.
This lecture is the first lecture of my Berkeley math 115 course "Introduction to number theory"
For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8
This lecture gives a survey of some of the topics covered later in the course, mainly about primes and Diophantine equations.
The textbook is "An introduction to the theory of numbers" by Niven, Zuckerman, and Montgomery (5th edition).
published: 13 Jan 2022
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Kamala Vs Trump in USA Elections Math Challenge!
Kamala Vs Trump in USA Elections Math Challenge!
Can you solve it?
published: 04 Nov 2024
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Number Theory | Divisibility Basics
We present some basics of divisibility from elementary number theory.
published: 01 Sep 2019
4:44
Introduction to Number Theory | Math
This is a Bullis Student Tutors video -- made by students for students.
Here we give a brief introduction to the branch of math known as number theory.
Emai...
This is a Bullis Student Tutors video -- made by students for students.
Here we give a brief introduction to the branch of math known as number theory.
Email:
[email protected]
YouTube Channel: https://www.youtube.com/user/bullisstudenttutors
https://wn.com/Introduction_To_Number_Theory_|_Math
This is a Bullis Student Tutors video -- made by students for students.
Here we give a brief introduction to the branch of math known as number theory.
Email:
[email protected]
YouTube Channel: https://www.youtube.com/user/bullisstudenttutors
- published: 30 Apr 2014
- views: 199072
13:56
Number Theory is Impossible Without These 7 Things
📊 Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! Our email:
[email protected]
📈 Check out my Udemy...
📊 Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! Our email:
[email protected]
📈 Check out my Udemy courses (you may find something that interests you 😉): https://www.udemy.com/user/luca-di-beo/
🥹 Consider supporting us on Patreon:
https://www.patreon.com/user?u=86646021
😎 Become a member to have exclusive access:
https://www.youtube.com/channel/UC3Z1rXCFFadHw69-PZpQRYQ/join
🔔 Subscribe:
https://www.youtube.com/channel/UC3Z1rXCFFadHw69-PZpQRYQ?sub_confirmation=1
_______________________________________________________
MATH CHALLENGE: Try to prove Fermat's Last Theorem for the case n=3, namely: there exist no positive integers a, b, c such that a^3+b^3=c^3.
----------------------------------------------
🌟 Number Theory Origins: Exploring the Fascinating World of Numbers!
📊🎓 Join us as we delve into the intriguing history and key concepts that shaped this foundational field of mathematics. Here’s a sneak peek into what you’ll discover:
1. The Beginnings with Pythagoras 📐
2. Euclid’s Algorithm 🧮
3. Modular Arithmetic 🔢
4. Fermat’s Last Theorem 💡
5. Algebraic Number Theory 🔍
6. Analytic Number Theory 📈
7. Geometric Number Theory 📏
Don’t forget to like, comment, and subscribe for more fascinating insights into the world of mathematics! 🚀✨
---
#NumberTheory #Mathematics #MathHistory #Pythagoras #Euclid #Gauss #Fermat #Riemann #Minkowski #MathEducation #STEM #PureMath #MathDiscovery #GreatestCommonDivisor #ModularArithmetic #AlgebraicNumberTheory #AnalyticNumberTheory #GeometricNumberTheory #PythagoreanTheorem #PrimeNumbers #Euler #RiemannHypothesis #Cryptography #MathResearch #MathGeniuses #MathFun #MathVideo #EducationalContent #MathTutorial #MathConcepts #NumberPatterns #IntegerSolutions #MathProofs #CyclotomicFields #DedekindDomains #IdealNumbers #RiemannZetaFunction #PrimeDistribution #LatticePoints #ConvexBodyTheorem #Topology #ComplexAnalysis #MathSymmetry #HistoricalMath #AdvancedMath #MathInfluence #MathematicalMethods #MathDevelopment #MathTechniques #MathLearning #MathCommunity
https://wn.com/Number_Theory_Is_Impossible_Without_These_7_Things
📊 Do you need PRIVATE CLASSES on Math & Physics, or do you know somebody who does? I might be helpful! Our email:
[email protected]
📈 Check out my Udemy courses (you may find something that interests you 😉): https://www.udemy.com/user/luca-di-beo/
🥹 Consider supporting us on Patreon:
https://www.patreon.com/user?u=86646021
😎 Become a member to have exclusive access:
https://www.youtube.com/channel/UC3Z1rXCFFadHw69-PZpQRYQ/join
🔔 Subscribe:
https://www.youtube.com/channel/UC3Z1rXCFFadHw69-PZpQRYQ?sub_confirmation=1
_______________________________________________________
MATH CHALLENGE: Try to prove Fermat's Last Theorem for the case n=3, namely: there exist no positive integers a, b, c such that a^3+b^3=c^3.
----------------------------------------------
🌟 Number Theory Origins: Exploring the Fascinating World of Numbers!
📊🎓 Join us as we delve into the intriguing history and key concepts that shaped this foundational field of mathematics. Here’s a sneak peek into what you’ll discover:
1. The Beginnings with Pythagoras 📐
2. Euclid’s Algorithm 🧮
3. Modular Arithmetic 🔢
4. Fermat’s Last Theorem 💡
5. Algebraic Number Theory 🔍
6. Analytic Number Theory 📈
7. Geometric Number Theory 📏
Don’t forget to like, comment, and subscribe for more fascinating insights into the world of mathematics! 🚀✨
---
#NumberTheory #Mathematics #MathHistory #Pythagoras #Euclid #Gauss #Fermat #Riemann #Minkowski #MathEducation #STEM #PureMath #MathDiscovery #GreatestCommonDivisor #ModularArithmetic #AlgebraicNumberTheory #AnalyticNumberTheory #GeometricNumberTheory #PythagoreanTheorem #PrimeNumbers #Euler #RiemannHypothesis #Cryptography #MathResearch #MathGeniuses #MathFun #MathVideo #EducationalContent #MathTutorial #MathConcepts #NumberPatterns #IntegerSolutions #MathProofs #CyclotomicFields #DedekindDomains #IdealNumbers #RiemannZetaFunction #PrimeDistribution #LatticePoints #ConvexBodyTheorem #Topology #ComplexAnalysis #MathSymmetry #HistoricalMath #AdvancedMath #MathInfluence #MathematicalMethods #MathDevelopment #MathTechniques #MathLearning #MathCommunity
- published: 01 Jun 2024
- views: 21831
8:50
Every Type of Math Explained in 9 Minutes.
Every type of math gets explained in 9 minutes.
I explain interesting things that I learn. This video was inspired by The Paint Explainer.
Like, Comment, and ...
Every type of math gets explained in 9 minutes.
I explain interesting things that I learn. This video was inspired by The Paint Explainer.
Like, Comment, and Subscribe if you enjoyed the video.
Arithmetic - 0:00
Algebra - 0:20
Geometry - 0:43
Trigonometry - 1:13
Calculus - 1:46
Statistics - 2:14
Number Theory - 2:45
Linear Algebra - 3:41
Differential Equations - 4:12
Topology - 4:50
Logic - 5:19
Mathematical Physics - 5:48
Theory of Computation - 6:10
Information Theory - 6:40
Game Theory - 7:22
Music by Trygve Larsen from Pixabay
https://wn.com/Every_Type_Of_Math_Explained_In_9_Minutes.
Every type of math gets explained in 9 minutes.
I explain interesting things that I learn. This video was inspired by The Paint Explainer.
Like, Comment, and Subscribe if you enjoyed the video.
Arithmetic - 0:00
Algebra - 0:20
Geometry - 0:43
Trigonometry - 1:13
Calculus - 1:46
Statistics - 2:14
Number Theory - 2:45
Linear Algebra - 3:41
Differential Equations - 4:12
Topology - 4:50
Logic - 5:19
Mathematical Physics - 5:48
Theory of Computation - 6:10
Information Theory - 6:40
Game Theory - 7:22
Music by Trygve Larsen from Pixabay
- published: 09 Feb 2024
- views: 576965
31:33
The Oldest Unsolved Problem in Math
Do odd perfect numbers exist? Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium s...
Do odd perfect numbers exist? Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.
Special thanks to our Patreon supporters! Join this list to help us keep our videos free, forever:
https://ve42.co/PatreonDEB
A massive thank you to Prof. Pace Nielsen for all his time and help with this video.
A big thank you to Dr. Asaf Karagila, Pascal Ochem, Prof. Tianxin Cai, and Prof. William Dunham for their expertise and help.
To try GIMPS out yourself: https://ve42.co/GIMPS
These sources were particularly helpful:
Perfect numbers via MacTutor - https://ve42.co/MTPerfect
Cai, T. (2022). Perfect numbers and fibonacci sequences. World Scientific. - https://ve42.co/Cai2022
Dunham, W. (2022). Euler: The master of us all (Vol. 22). American Mathematical Society. - https://ve42.co/Dunham2022
▀▀▀
References:
https://www.youtube.com/watch?v=T0xKHwQH-4I&pp=ygUPcGVyZmVjdCBudW1iZXJz
https://www.youtube.com/watch?v=q8n15q1v4Xo&pp=ygUPcGVyZmVjdCBudW1iZXJz
Dickson, L. E. (1919). History of the Theory of Numbers.. (Vol. 1). Carnegie Institution of Washington.
Knill, O. (2007). The oldest open problem in mathematics. NEU Math Circle, December2. - https://ve42.co/Knill2007
Perfect number via Wikipedia - https://ve42.co/WikiPerfect
Introduction to Arithmetic via HalthiTrust - https://ve42.co/IntroArithmetic
Nicomachus of Gerasa via MacTutor - https://ve42.co/MTNicomachus
Sonja, B. (1988). The First Perfect Numbers and Three Types of Amicable Numbers in a Manuscript on Elementary Number Theory by Ibn Fellûs. Erdem, c. IV, 11. - https://ve42.co/Sonja1988
Ibn Fallus via Wikipedia - https://ve42.co/WikiFallus
Mersenne prime via Wikipedia - https://ve42.co/WikiMP
List of Known Mersenne Prime Numbers - https://ve42.co/ListOfMP
Marin Mersenne via MacTutor - https://ve42.co/MTMersenne
Leonhard Euler via Wikipedia - https://ve42.co/WikiEuler
Frank Nelson Cole via Wikipedia - https://ve42.co/WikiFNCole
GIMPS History via Mersenne.org - https://ve42.co/GIMPSHistory
EFF Cooperative Computing Awards via EFF - https://ve42.co/EFFAwards
Jonathan Pace via Primewiki - https://ve42.co/PWikiPace
Book with just one number sells out in Japan via BastillePost - https://ve42.co/PrimeBook
Predicted distribution of Mersenne primes via John D. Cook - https://ve42.co/JDCookMP
Euler’s Odd Perfect Numbers Theorem via Cantor's Paradise - https://ve42.co/EulerOPN
A Perfect (Math) Mystery via Medium - https://ve42.co/Machado2024
Brent, R. P., Cohen, G. L., & te Riele, H. J. (1991). Improved techniques for lower bounds for odd perfect numbers. Mathematics of Computation, 57(196), 857-868. - https://ve42.co/Brent1991
Ochem, P., & Rao, M. (2012). Odd perfect numbers are greater than 10¹⁵⁰⁰. Mathematics of Computation, 81(279), 1869-1877. - https://ve42.co/Ochem2012
Mathematicians Open a New Front on an Ancient Number Problem via Quantamagazine - https://ve42.co/QuantaSpoofs
Descartes number via Wikipedia - https://ve42.co/WikiDescartesNumber
Andersen, N., Durham, S., Griffin, M. J., Hales, J., Jenkins, P., Keck, R., ... & Wu, D. (2022). Odd, spoof perfect factorizations. Journal of Number Theory, 234, 31-47. - https://ve42.co/Andersen2022
Pomerance’s Heuristic that Odd Perfect Numbers are Unlikely via OddPerfect.org - https://ve42.co/Heuristic
Images & Video:
Clip of Piergiorgio Odifreddi - https://www.youtube.com/watch?v=y0paHEA8-gA
Euclid’s Elements 1 via Claymath - https://ve42.co/CM1
Euclid’s Elements 2 via Claymath - https://ve42.co/CM2
Euclid’s Elements 3 via Claymath - https://ve42.co/CM3
Diophanti - https://ve42.co/Diophanti
Gauss book - https://ve42.co/GaussDis
Euler’s Archive 1 - https://ve42.co/Euler1
Euler’s Archive 2 - https://ve42.co/Euler2
▀▀▀
Special thanks to our Patreon supporters:
Anton Ragin, Balkrishna Heroor, Bertrand Serlet, Bill Linder, Blake Byers, Burt Humburg, Chris Harper, Dave Kircher, David Johnston, Diffbot, Evgeny Skvortsov, Garrett Mueller, Gnare, I.H., John H. Austin, Jr., john kiehl, Josh Hibschman, Juan Benet, KeyWestr, Lee Redden, Marinus Kuivenhoven, Matthias Wrobel, Max Paladino, Meekay, meg noah, Michael Krugman, Orlando Bassotto, Paul Peijzel, Richard Sundvall, Sam Lutfi, Stephen Wilcox, Tj Steyn, TTST, Ubiquity Ventures, wolfee
▀▀▀
Directed by Casper Mebius
Written by Casper Mebius and Derek Muller
Edited by Peter Nelson
Illustrated by Jakub Misiek
Animated by Fabio Albertelli, Ivy Tello, David Szakaly, Alondra Vitae, Alex Drakoulis, and Leigh Williamson
Filmed by Derek Muller, Raquel Nuno, and Peter Nelson
Additional research by Aaron Santos, Camilla Machado, and Gregor Čavlović
Produced by Casper Mebius, Gregor Čavlović, Han Evans, and Derek Muller
Thumbnail by Ren Hurley
Additional video/photos supplied by Getty Images and Pond5
Music from Epidemic Sound
https://wn.com/The_Oldest_Unsolved_Problem_In_Math
Do odd perfect numbers exist? Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.
Special thanks to our Patreon supporters! Join this list to help us keep our videos free, forever:
https://ve42.co/PatreonDEB
A massive thank you to Prof. Pace Nielsen for all his time and help with this video.
A big thank you to Dr. Asaf Karagila, Pascal Ochem, Prof. Tianxin Cai, and Prof. William Dunham for their expertise and help.
To try GIMPS out yourself: https://ve42.co/GIMPS
These sources were particularly helpful:
Perfect numbers via MacTutor - https://ve42.co/MTPerfect
Cai, T. (2022). Perfect numbers and fibonacci sequences. World Scientific. - https://ve42.co/Cai2022
Dunham, W. (2022). Euler: The master of us all (Vol. 22). American Mathematical Society. - https://ve42.co/Dunham2022
▀▀▀
References:
https://www.youtube.com/watch?v=T0xKHwQH-4I&pp=ygUPcGVyZmVjdCBudW1iZXJz
https://www.youtube.com/watch?v=q8n15q1v4Xo&pp=ygUPcGVyZmVjdCBudW1iZXJz
Dickson, L. E. (1919). History of the Theory of Numbers.. (Vol. 1). Carnegie Institution of Washington.
Knill, O. (2007). The oldest open problem in mathematics. NEU Math Circle, December2. - https://ve42.co/Knill2007
Perfect number via Wikipedia - https://ve42.co/WikiPerfect
Introduction to Arithmetic via HalthiTrust - https://ve42.co/IntroArithmetic
Nicomachus of Gerasa via MacTutor - https://ve42.co/MTNicomachus
Sonja, B. (1988). The First Perfect Numbers and Three Types of Amicable Numbers in a Manuscript on Elementary Number Theory by Ibn Fellûs. Erdem, c. IV, 11. - https://ve42.co/Sonja1988
Ibn Fallus via Wikipedia - https://ve42.co/WikiFallus
Mersenne prime via Wikipedia - https://ve42.co/WikiMP
List of Known Mersenne Prime Numbers - https://ve42.co/ListOfMP
Marin Mersenne via MacTutor - https://ve42.co/MTMersenne
Leonhard Euler via Wikipedia - https://ve42.co/WikiEuler
Frank Nelson Cole via Wikipedia - https://ve42.co/WikiFNCole
GIMPS History via Mersenne.org - https://ve42.co/GIMPSHistory
EFF Cooperative Computing Awards via EFF - https://ve42.co/EFFAwards
Jonathan Pace via Primewiki - https://ve42.co/PWikiPace
Book with just one number sells out in Japan via BastillePost - https://ve42.co/PrimeBook
Predicted distribution of Mersenne primes via John D. Cook - https://ve42.co/JDCookMP
Euler’s Odd Perfect Numbers Theorem via Cantor's Paradise - https://ve42.co/EulerOPN
A Perfect (Math) Mystery via Medium - https://ve42.co/Machado2024
Brent, R. P., Cohen, G. L., & te Riele, H. J. (1991). Improved techniques for lower bounds for odd perfect numbers. Mathematics of Computation, 57(196), 857-868. - https://ve42.co/Brent1991
Ochem, P., & Rao, M. (2012). Odd perfect numbers are greater than 10¹⁵⁰⁰. Mathematics of Computation, 81(279), 1869-1877. - https://ve42.co/Ochem2012
Mathematicians Open a New Front on an Ancient Number Problem via Quantamagazine - https://ve42.co/QuantaSpoofs
Descartes number via Wikipedia - https://ve42.co/WikiDescartesNumber
Andersen, N., Durham, S., Griffin, M. J., Hales, J., Jenkins, P., Keck, R., ... & Wu, D. (2022). Odd, spoof perfect factorizations. Journal of Number Theory, 234, 31-47. - https://ve42.co/Andersen2022
Pomerance’s Heuristic that Odd Perfect Numbers are Unlikely via OddPerfect.org - https://ve42.co/Heuristic
Images & Video:
Clip of Piergiorgio Odifreddi - https://www.youtube.com/watch?v=y0paHEA8-gA
Euclid’s Elements 1 via Claymath - https://ve42.co/CM1
Euclid’s Elements 2 via Claymath - https://ve42.co/CM2
Euclid’s Elements 3 via Claymath - https://ve42.co/CM3
Diophanti - https://ve42.co/Diophanti
Gauss book - https://ve42.co/GaussDis
Euler’s Archive 1 - https://ve42.co/Euler1
Euler’s Archive 2 - https://ve42.co/Euler2
▀▀▀
Special thanks to our Patreon supporters:
Anton Ragin, Balkrishna Heroor, Bertrand Serlet, Bill Linder, Blake Byers, Burt Humburg, Chris Harper, Dave Kircher, David Johnston, Diffbot, Evgeny Skvortsov, Garrett Mueller, Gnare, I.H., John H. Austin, Jr., john kiehl, Josh Hibschman, Juan Benet, KeyWestr, Lee Redden, Marinus Kuivenhoven, Matthias Wrobel, Max Paladino, Meekay, meg noah, Michael Krugman, Orlando Bassotto, Paul Peijzel, Richard Sundvall, Sam Lutfi, Stephen Wilcox, Tj Steyn, TTST, Ubiquity Ventures, wolfee
▀▀▀
Directed by Casper Mebius
Written by Casper Mebius and Derek Muller
Edited by Peter Nelson
Illustrated by Jakub Misiek
Animated by Fabio Albertelli, Ivy Tello, David Szakaly, Alondra Vitae, Alex Drakoulis, and Leigh Williamson
Filmed by Derek Muller, Raquel Nuno, and Peter Nelson
Additional research by Aaron Santos, Camilla Machado, and Gregor Čavlović
Produced by Casper Mebius, Gregor Čavlović, Han Evans, and Derek Muller
Thumbnail by Ren Hurley
Additional video/photos supplied by Getty Images and Pond5
Music from Epidemic Sound
- published: 08 Mar 2024
- views: 11745085
1:02:35
Number Theory: Queen of Mathematics
Mathematician Sarah Hart will be giving a series of lectures on Maths and Money.
Register to watch her lectures here: https://www.gresham.ac.uk/watch-now/serie...
Mathematician Sarah Hart will be giving a series of lectures on Maths and Money.
Register to watch her lectures here: https://www.gresham.ac.uk/watch-now/series/maths-money
--------------------------------
In which years does February have five Sundays? How many right-angled triangles with whole-number sides have a side of length 29? How many shuffles are needed to restore the order of the cards in a pack with two Jokers? Are any of the numbers 11, 111, 1111, 11111, . . . perfect squares? Can one construct a regular polygon with 100 sides if measuring is forbidden? How do prime numbers help to keep our credit cards secure?
These are all questions in number theory, the branch of mathematics that’s primarily concerned with our counting numbers, 1, 2, 3, etc. Of particular importance are the prime numbers, the ‘building blocks’ of our number system.
The subject is an old one, dating back to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no-one has ever been able to resolve them.
This lecture situates the above problems and puzzles in their historical context, drawing on the work of many of the greatest mathematicians of the past, such as Euclid, Fermat, Euler and Gauss. Indeed, as Gauss, sometimes described as the ‘Prince of Mathematics’, has claimed: Mathematics is the Queen of the Sciences, and Number Theory is the Queen of Mathematics.
A lecture by Robin Wilson
The transcript and downloadable versions of the lecture are available from the Gresham College website:
http://www.gresham.ac.uk/lectures-and-events/number-theory
Gresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/
Website: http://www.gresham.ac.uk
Twitter: http://www.twitter.com/GreshamCollege
Facebook: https://www.facebook.com/GreshamCollege
Instagram: https://www.instagram.com/greshamcollege/
https://wn.com/Number_Theory_Queen_Of_Mathematics
Mathematician Sarah Hart will be giving a series of lectures on Maths and Money.
Register to watch her lectures here: https://www.gresham.ac.uk/watch-now/series/maths-money
--------------------------------
In which years does February have five Sundays? How many right-angled triangles with whole-number sides have a side of length 29? How many shuffles are needed to restore the order of the cards in a pack with two Jokers? Are any of the numbers 11, 111, 1111, 11111, . . . perfect squares? Can one construct a regular polygon with 100 sides if measuring is forbidden? How do prime numbers help to keep our credit cards secure?
These are all questions in number theory, the branch of mathematics that’s primarily concerned with our counting numbers, 1, 2, 3, etc. Of particular importance are the prime numbers, the ‘building blocks’ of our number system.
The subject is an old one, dating back to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no-one has ever been able to resolve them.
This lecture situates the above problems and puzzles in their historical context, drawing on the work of many of the greatest mathematicians of the past, such as Euclid, Fermat, Euler and Gauss. Indeed, as Gauss, sometimes described as the ‘Prince of Mathematics’, has claimed: Mathematics is the Queen of the Sciences, and Number Theory is the Queen of Mathematics.
A lecture by Robin Wilson
The transcript and downloadable versions of the lecture are available from the Gresham College website:
http://www.gresham.ac.uk/lectures-and-events/number-theory
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- published: 08 Oct 2020
- views: 306701
33:06
Something Strange Happens When You Keep Squaring
There's a strange number system, featured in the work of a dozen Fields Medalists, that helps solve problems that are intractable with real numbers. Head to ht...
There's a strange number system, featured in the work of a dozen Fields Medalists, that helps solve problems that are intractable with real numbers. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.
If you're looking for a molecular modeling kit, try Snatoms - a kit I invented where the atoms snap together magnetically: https://snatoms.com
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References:
Koblitz, N. (2012). p-adic Numbers, p-adic Analysis, and Zeta-Functions (Vol. 58). Springer Science & Business Media.
Amazing intro to p-adic numbers here: https://youtu.be/3gyHKCDq1YA
Excellent series on p-adic numbers: https://youtu.be/VTtBDSWR1Ac
Great videos by James Tanton: @JamesTantonMath
▀▀▀
Special thanks to our Patreon supporters:
Emil Abu Milad, Tj Steyn, meg noah, Bernard McGee, KeyWestr, Amadeo Bee, TTST, Balkrishna Heroor, John H. Austin, Jr., john kiehl, Anton Ragin, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Juan Benet, Ubiquity Ventures, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Sam Lutfi.
▀▀▀
Written by Derek Muller and Alex Kontorovich
Edited by Trenton Oliver
Animated by Mike Radjabov, Ivy Tello, Fabio Albertelli and Jakub Misiek
Filmed by Derek Muller
Additional video/photos supplied by Getty Images & Pond5
Music from Epidemic Sound & Jonny Hyman
Produced by Derek Muller, Petr Lebedev, & Emily Zhang
https://wn.com/Something_Strange_Happens_When_You_Keep_Squaring
There's a strange number system, featured in the work of a dozen Fields Medalists, that helps solve problems that are intractable with real numbers. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription.
If you're looking for a molecular modeling kit, try Snatoms - a kit I invented where the atoms snap together magnetically: https://snatoms.com
▀▀▀
References:
Koblitz, N. (2012). p-adic Numbers, p-adic Analysis, and Zeta-Functions (Vol. 58). Springer Science & Business Media.
Amazing intro to p-adic numbers here: https://youtu.be/3gyHKCDq1YA
Excellent series on p-adic numbers: https://youtu.be/VTtBDSWR1Ac
Great videos by James Tanton: @JamesTantonMath
▀▀▀
Special thanks to our Patreon supporters:
Emil Abu Milad, Tj Steyn, meg noah, Bernard McGee, KeyWestr, Amadeo Bee, TTST, Balkrishna Heroor, John H. Austin, Jr., john kiehl, Anton Ragin, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Juan Benet, Ubiquity Ventures, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Sam Lutfi.
▀▀▀
Written by Derek Muller and Alex Kontorovich
Edited by Trenton Oliver
Animated by Mike Radjabov, Ivy Tello, Fabio Albertelli and Jakub Misiek
Filmed by Derek Muller
Additional video/photos supplied by Getty Images & Pond5
Music from Epidemic Sound & Jonny Hyman
Produced by Derek Muller, Petr Lebedev, & Emily Zhang
- published: 06 Jun 2023
- views: 7025741
2:29
The Most Efficient Way for Beginners to Start Understanding Number Theory!
A systematic introduction to the deep subject of Number Theory, designed for beginners. Our carefully designed problems will lead you to understand the concepts...
A systematic introduction to the deep subject of Number Theory, designed for beginners. Our carefully designed problems will lead you to understand the concepts that most commonly appear in contests ranging from MATHCOUNTS to the AMC 8, 10, and 12.
https://wn.com/The_Most_Efficient_Way_For_Beginners_To_Start_Understanding_Number_Theory
A systematic introduction to the deep subject of Number Theory, designed for beginners. Our carefully designed problems will lead you to understand the concepts that most commonly appear in contests ranging from MATHCOUNTS to the AMC 8, 10, and 12.
- published: 06 Dec 2019
- views: 59552
44:04
Introduction to number theory lecture 1.
This lecture is the first lecture of my Berkeley math 115 course "Introduction to number theory"
For the other lectures in the course see https://www.youtube.co...
This lecture is the first lecture of my Berkeley math 115 course "Introduction to number theory"
For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8
This lecture gives a survey of some of the topics covered later in the course, mainly about primes and Diophantine equations.
The textbook is "An introduction to the theory of numbers" by Niven, Zuckerman, and Montgomery (5th edition).
https://wn.com/Introduction_To_Number_Theory_Lecture_1.
This lecture is the first lecture of my Berkeley math 115 course "Introduction to number theory"
For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8
This lecture gives a survey of some of the topics covered later in the course, mainly about primes and Diophantine equations.
The textbook is "An introduction to the theory of numbers" by Niven, Zuckerman, and Montgomery (5th edition).
- published: 13 Jan 2022
- views: 198411
0:12
Kamala Vs Trump in USA Elections Math Challenge!
Kamala Vs Trump in USA Elections Math Challenge!
Can you solve it?
Kamala Vs Trump in USA Elections Math Challenge!
Can you solve it?
https://wn.com/Kamala_Vs_Trump_In_USA_Elections_Math_Challenge
Kamala Vs Trump in USA Elections Math Challenge!
Can you solve it?
- published: 04 Nov 2024
- views: 423
7:13
Number Theory | Divisibility Basics
We present some basics of divisibility from elementary number theory.
We present some basics of divisibility from elementary number theory.
https://wn.com/Number_Theory_|_Divisibility_Basics
We present some basics of divisibility from elementary number theory.
- published: 01 Sep 2019
- views: 144213