In geometry, the Fermat cubic, named after Pierre de Fermat, is a surface defined by Methods of algebraic geometry provide the following parameterization of Fermat's cubic: In projective space the Fermat cubic is given by The 27 lines lying on the Fermat cubic are easy to describe explicitly: they are the 9 lines of the form (w : aw : y : by) where a and b are fixed numbers with cube −1, and their 18 conjugates under permutations of coordinates. Real points of Fermat cubic surface. (Wikipedia).
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
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
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
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
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
How was it Made? Jacquard weaving
From playlist Engineering
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
Fermat's Last Theorem for rational and irrational exponents
Fermat's Last Theorem states the equation x^n + y^n = z^n has no integer solutions for positive integer exponents greater than 2. However, Fermat's Last Theorem says nothing about exponents that are not positive integers. Note: x, y and z are meant to be positive integers, which I should
From playlist My Maths Videos
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
Roger Heath-Brown: a Life in Mathematics
Roger Heath-Brown is one of Oxford's foremost mathematicians. His work in analytic number theory has been critical to the advances in the subject over the past thirty years and garnered Roger many prizes. As he approached retirement, Roger gave this interview to Ben Green, Waynflete Profe
From playlist Interviews with Oxford Mathematicians
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
The Video going to guide how to make quadratic function with graph. lets see the video to make it, it's easy.
From playlist CALCULUS
Henri Darmon: Andrew Wiles' marvelous proof
Abstract: Pierre de Fermat famously claimed to have discovered “a truly marvelous proof” of his last theorem, which the margin in his copy of Diophantus' Arithmetica was too narrow to contain. Fermat's proof (if it ever existed!) is probably lost to posterity forever, while Andrew Wiles' p
From playlist Abel Lectures
Solutions to Cubic Equations - Benedict Gross (Harvard University)
Beginning with some simple principles that go back to the ancient Greeks for solving some low-degree equations, we will then turn to some basic questions raised by Euler and Fermat, whose answers have led to surprising applications (secure Internet commerce) as well as to the solution of f
From playlist Mathematics Research Center
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
Maxima and Minima for Quadratic and Cubics | Algebraic Calculus One | Wild Egg
Tangents of algebraic curves are best defined purely algebraically, without recourse to limiting arguments! We apply our techniques for finding such tangents to derive some familiar results for quadratic and cubic polynomial functions and their maxima and minima. We compare also with the c
From playlist Algebraic Calculus One
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
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
SummerSchool "Arithmetic geometry" Tschinkel - Introduction | 2006
lecture notes: https://drive.google.com/file/d/1VLucSK53-iLrVUbPAanNZ6Lb7nAAgaQ1/view?usp=sharing Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry" survey lectures given at the 2006 Clay Summer School on Arithmetic Geometry at the Mathematics Institute of the Univer
From playlist Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry"