Fermat curve

Theory of numbers: Fermat's theorem

This lecture is part of an online undergraduate course on the theory of numbers. We prove Fermat's theorem a^p = a mod p. We then define the order of a number mod p and use Fermat's theorem to show the order of a divides p-1. We apply this to testing some Fermat and Mersenne numbers to se

From playlist Theory of numbers

How to prove Fermat's Last Theorem in under 7 seconds

How to prove Fermat's Last Theorem in under 7 seconds

From playlist My Maths Videos

Weil conjectures 4 Fermat hypersurfaces

This talk is part of a series on the Weil conjectures. We give a summary of Weil's paper where he introduced the Weil conjectures by calculating the zeta function of a Fermat hypersurface. We give an overview of how Weil expressed the number of points of a variety in terms of Gauss sums. T

From playlist Algebraic geometry: extra topics

Quadratic de Casteljau-Bezier Curves (Ch7 Pr12)

An introductory mathematical description of Quadratic de Casteljau-Bezier curves. This is Chapter 7 Problem 12 from the MATH1131/1141 Calculus notes. Presented by Dr Daniel Mansfield from the UNSW School of Mathematics and Statistics.

From playlist Mathematics 1A (Calculus)

Primality (1 of 2: Fermat's Test)

From playlist Cryptography

Newton's method and algebraic curves | Real numbers and limits Math Foundations 86 | N J Wildberger

Newton's method can be extended to meets of algebraic curves. We show how, using the examples of the Fermat curve and the Lemniscate of Bernoulli. We start by finding the Taylor expansions of the associated polynomials (polynumbers) at a fixed point (r,s) in the plane. The first tangents

From playlist Math Foundations

MATH3411 Problem 75

MATH3411 Information, Codes and Ciphers We use Fermat factorisation to factor one of the three integers given in the problem. Presented by Thomas Britz, School of Mathematics and Statistics, Faculty of Science, UNSW Australia

From playlist MATH3411 Information, Codes and Ciphers

A Short Course in Algebra and Number Theory - Fermat's little theorem and primes

To supplement a course taught at The University of Queensland's School of Mathematics and Physics I present a very brief summary of algebra and number theory for those students who need to quickly refresh that material or fill in some gaps in their understanding. This is the fifth lectur

From playlist A Short Course in Algebra and Number Theory

The Abel Prize announcement 2016 - Andrew Wiles

0:44 The Abel Prize announced by Ole M. Sejersted, President of The Norwegian Academy of Science and Letters 2:07 Citation by Hans Munthe-Kaas, Chair of the Abel committee 8:01 Popular presentation of the prize winners work by Alex Bellos, British writer, and science communicator 21:43 Pho

From playlist The Abel Prize announcements

Alex Bellos on Andrew Wiles and Fermat's last theorem

Popular presentation by Alex Bellos on Sir Andrew Wiles and on Fermat's last theorem. This clip is a part of the Abel Prize Announcement 2016. You can view Alex Bellos own YouTube channel here: https://www.youtube.com/user/AlexInNumberland

From playlist Popular presentations

Richard Pinch: Fermat's Last Theorem [1994]

Richard Pinch: Fermat's Last Theorem Based on the 1994 London Mathematical Society Popular Lectures, this special 'television lecture' entitled "Fermat's last theorem" is presented by Dr Richard Pinch. The London Mathematical Society is one of the oldest mathematical societies, founded i

From playlist Mathematics

"A Brief History of Fermat's Last Theorem" by Prof. Kenneth Ribet

The speaker discussed work on Fermat's Last Theorem over the last 350+ years. The theorem was proved in the mid-1990s using tools from contemporary arithmetic algebraic geometry. The speaker focused on such objects as elliptic curves, Galois representations and modular forms that are cen

From playlist Number Theory Research Unit at CAMS - AUB

The Biggest Project in Modern Mathematics

In a 1967 letter to the number theorist André Weil, a 30-year-old mathematician named Robert Langlands outlined striking conjectures that predicted a correspondence between two objects from completely different fields of math. The Langlands program was born. Today, it's one of the most amb

From playlist Explainers

The Bridges to Fermat's Last Theorem - Numberphile

Ken Ribet - a key player in the solution to Fermat's Last Theorem - gives a taste of how real mathematics is done... piece by piece and by human beings. More links & stuff in full description below ↓↓↓ More Fermat (with Simon Singh): http://youtu.be/qiNcEguuFSA Even more Fermat (with Simo

From playlist Fermat's Last Theorem on Numberphile

The Heart of Fermat's Last Theorem - Numberphile

Modularity... Simon Pampena gets to the heart of proving Fermat's Last Theorem. More links & stuff in full description below ↓↓↓ Audible: www.audible.com/numberphile More Numberphile videos on Fermat: http://bit.ly/fermat_videos Simon Pampena is Australia's Numeracy Ambassador --- https:

From playlist Simon Pampena on Numberphile

Fermat's little theorem

In this video we introduce Fermat's little theorem and give a proof using congruences. The content of this video corresponds to Section 7.2 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-and-geometry/

From playlist Number Theory and Geometry

Fermat Spirals for Layered 3D Printing | Two Minute Papers #77

The paper "Connected Fermat Spirals for Layered Fabrication" is available here: http://irc.cs.sdu.edu.cn/html/2016/2016_0519/222.html The ThatsMaths article on sunflowers + paper "Fibonacci patterns: common or rare?" is available here: https://thatsmaths.com/2014/06/05/sunflowers-and-fibo

From playlist 3D Printing / 3D Fabrication

SummerSchool 20060728 1600 Darmon - Fermat curves and Wiles' Theorem

From playlist Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry"

Calculus - Application of Differentiation (10 of 60) Fermat's Theorem Explained

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain Fermat's Theorem.

From playlist CALCULUS 1 CH x APPLICATIONS OF DIFFERENTIATION

4. Calculus: One of the Most Successful Technologies

(October 22, 2012) Professor Keith Devlin discusses how calculus is truly one of the most useful discoveries of all time. Originally presented in the Stanford Continuing Studies Program. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies Program: https://continuin

From playlist Lecture Collection | Mathematics: Making the Invisible Visible