Intersection theory | Algebraic geometry
In enumerative geometry, Steiner's conic problem is the problem of finding the number of smooth conics tangent to five given conics in the plane in general position. If the problem is considered in the complex projective plane CP2, the correct solution is 3264. The problem is named after Jakob Steiner who first posed it and who gave an incorrect solution in 1848. (Wikipedia).
From Triangle to Surprise Conic!
Plot a point P inside a triangle. Through P, construct lines parallel to triangle's sides. Why the surprise conic? 😮Inspired by & posted in memory of Alexander Bogomolny, whose legacy continues to inspire many: cut-the-knot.org geogebra.org/m/QCV8byjg #MTBoS #ITeachMath #GeoGebra
From playlist Geometry: Challenge Problems
Convolution Theorem: Fourier Transforms
Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.
From playlist Partial differential equations
Umberto Zannier - The games of Steiner and Poncelet and algebraic group schemes
November 13, 2017 - This is the first of three Fall 2017 Minerva Lectures We shall briefly present in very elementary terms the 'games' of Steiner and Poncelet, amusing mathematical solitaires of the XIX Century, also related to elliptic billiards. We shall recall that the finiteness of t
From playlist Minerva Lectures Umberto Zannier
Concave Quadrilateral Craziness! (GoGeometry Action 80)
Link: https://www.geogebra.org/m/T4axJRwY
From playlist Geometry: Challenge Problems
Topics in Curve and Surface Implicitization, David Cox (Amherst College) [2007]
Slides for this talk: https://drive.google.com/file/d/1quB7Lg_dXTPow_qLLDeW2Zv6m9G4X4AN/view?usp=sharing (credits to zubrzetsky) Topics in Curve and Surface Implicitization Saturday, June 2, 2007 - 10:30am - 11:20am EE/CS 3-180 David Cox (Amherst College) This lecture will discuss sever
From playlist Mathematics
The Journey to 3264 - Numberphile
Professor David Eisenbud talks about conics, and visits a few numbers along the way. More links & stuff in full description below ↓↓↓ David Eisenbud Numberphile Playlist: http://bit.ly/Eisenbud_Videos David Eisenbud: https://math.berkeley.edu/people/faculty/david-eisenbud 3264 and All
From playlist David Eisenbud on Numberphile
Rolf Schneider: Hyperplane tessellations in Euclidean and spherical spaces
Abstract: Random mosaics generated by stationary Poisson hyperplane processes in Euclidean space are a much studied object of Stochastic Geometry, and their typical cells or zero cells belong to the most prominent models of random polytopes. After a brief review, we turn to analogues in sp
From playlist Probability and Statistics
Journée de la Revue d’histoire des mathématiques - Nicolas Michel - 01/12/17
Journée de la Revue d’histoire des mathématiques (séance préparée par la rédaction de la RHM) Nicolas Michel (UMR SPHère, CNRS & Université Paris Diderot), « "Une proposition tantôt vraie, tantôt fausse" : autour de la controverse Chasles-De Jonquières » -----------------------------
From playlist Séminaire d'Histoire des Mathématiques
Ciro Ciliberto, Enumeration in geometry - 15 Novembre 2017
https://www.sns.it/eventi/enumeration-geometry Colloqui della Classe di Scienze Ciro Ciliberto, Università di Roma “Tor Vergata” Enumeration in geometry Abstract: Enumeration of geometric objects verifying some specific properties is an old and venerable subject. In this talk I will
From playlist Colloqui della Classe di Scienze
Conics via projective geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
Conics, such as circles, ellipses, hyperbolas and parabolas, can be defined purely within projective geometry, as realized by the nineteenth century German mathematician Steiner. This is done by using projectivities. There are essentially two dual constructions, one giving a line conic, th
From playlist WildTrig: Intro to Rational Trigonometry
Concavity and Parametric Equations Example
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.
From playlist Calculus
What is the definition of a parabola
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and identifying a parabolas parts when given an equation in sta
From playlist Learn all about Parabolas #Conics
Separation of variables and the Schrodinger equation
A brief explanation of separation of variables, application to the time-dependent Schrodinger equation, and the solution to the time part. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/
From playlist Mathematical Physics II - Youtube
Seminar on Applied Geometry and Algebra (SIAM SAGA): Bernd Sturmfels
Date: Tuesday, February 9 at 11:00am EST (5:00pm CET) Speaker: Bernd Sturmfels, MPI MiS Leipzig / UC Berkeley Title: Linear Spaces of Symmetric Matrices. Abstract: Real symmetric matrices appear ubiquitously across the mathematical sciences, and so do linear spaces of such matrices. We
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
Equation of Conic with Eccentricity = 1/2 Center (0,0) and Focus (2,0)
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equation of Conic with Eccentricity = 1/2 Center (0,0) and Focus (2,0)
From playlist Conics
Tangent conics and tangent quadrics | Differential Geometry 5 | NJ Wildberger
In this video we further develop and extend Lagrange's algebraic approach to the differential calculus. We show how to associate to a polynomial function y=p(x) at a point x=r not just a tangent line, but also a tangent conic, a tangent cubic and so on. Only elementary high school manipul
From playlist Differential Geometry
Residual Intersections in Geometry and Algebra by David Eisenbud
DISTINGUISHED LECTURES RESIDUAL INTERSECTIONS IN GEOMETRY AND ALGEBRA SPEAKER: David Eisenbud (Director, Mathematical Sciences Research Institute, and Professor of Mathematics, UC Berkeley) DATE: 13 December 2019, 16:00 to 17:00 VENUE: Madhava Lecture Hall, ICTS-TIFR, Bengaluru In thi
From playlist DISTINGUISHED LECTURES
Complex conjugate and linear systems
How to solve linear systems with the complex conjugate. Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
Mathematical Games Hosted by Ed Pegg Jr. [Episode 3: Algebraic Number Magic]
Join Ed Pegg Jr. as he explores a variety of games and puzzles using Wolfram Language. In this episode, he features games and puzzles focusing on algebraic number magic. Follow us on our official social media channels. Twitter: https://twitter.com/WolframResearch/ Facebook: https://www.f
From playlist Mathematical Games Hosted by Ed Pegg Jr.
A tutorial: some differential geometry problems | Differential Geometry 21 | NJ Wildberger
Here we go over in some detail three problems that were assigned earlier in the course: the rational parametrization of the cissoid, the parametrization of a particular conic x^2-4xy-2y^2=3, and finding the evolute of the curve y=x^n for a general n. Note that in my diagram around 14:00
From playlist Differential Geometry