Classical curves | Differential Geometry 1 | NJ Wildberger
The first lecture of a beginner's course on Differential Geometry! Given by Prof N J Wildberger of the School of Mathematics and Statistics at UNSW. Differential geometry is the application of calculus and analytic geometry to the study of curves and surfaces, and has numerous applications
From playlist Differential Geometry
Paraboloids and associated quadratic forms | Differential Geometry 23 | NJ Wildberger
Paraboloids are going to play a special role in our understanding of curvature. The idea is that we are going to locally approximate a surface S near a point by a normal paraboloid---one that shares the same tangent plane, but has an axis which is perpendicular to that tangent plane. It w
From playlist Differential Geometry
Curvature for the general parabola | Differential Geometry 13 | NJ Wildberger
We now extend the discussion of curvature to a general parabola, not necessarily one of the form y=x^2. This involves first of all understanding that a parabola is defined projectively as a conic which is tangent to the line at infinity. We find the general projective 3x3 matrix for suc
From playlist Differential Geometry
The differential calculus for curves (II) | Differential Geometry 8 | NJ Wildberger
In this video we extend Lagrange's approach to the differential calculus to the case of algebraic curves. This means we can study tangent lines, tangent conics and so on to a general curve of the form p(x,y)=0; this includes the situation y=f(x) as a special case. It also allows us to deal
From playlist Differential Geometry
Since we just covered polar equations, let's go over one other way we can graph functions. Parametric equations are actually a set of equations whereby two variables like x and y both depend on the same variable, usually time, and therefore each rectangular coordinate is determined by its
From playlist Mathematics (All Of It)
Introduction to Parametric Equations
This video defines a parametric equations and shows how to graph a parametric equation by hand. http://mathispower4u.yolasite.com/
From playlist Parametric Equations
Calculus 3: Vector Calculus in 3-D (4 of 35) What Are Parametric Equations?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are parametric equations. Parametric equations are equations that enable us to define the position (in terms of x, y, z) or the change in position (in terms of x, y, z) using a single var
From playlist CALCULUS 3 CH 3.3 VECTOR CALCULUS IN 3-D
Parametrized curves and algebraic curves | Differential Geometry 3 | NJ Wildberger
This lecture discusses parametrization of curves. We start with the case of conics, going back to the ancient Greeks, and then move to more general algebraic curves, in particular Fermat's cubic, the Folium of Descartes and the Lemniscate of Bernoulli. We talk about the 17th century's fa
From playlist Differential Geometry
Rod Gover - An introduction to conformal geometry and tractor calculus (Part 3)
After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal covariance is visited and some covariant/invariant equations from physics are recovered in
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
An introduction to surfaces | Differential Geometry 21 | NJ Wildberger
We introduce surfaces, which are the main objects of interest in differential geometry. After a brief introduction, we mention the key notion of orientability, and then discuss the division in the subject between algebraic surfaces and parametrized surfaces. It is very important to have a
From playlist Differential Geometry
On The Work Of Narasimhan and Seshadri (Lecture 3) by Edward Witten
Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
Moduli spaces of parabolic connections and parabolic bundles and Geometric Langlands by M-H Saito
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Moduli space of regular singular parabolic connections and isomonodromic deformation by M.Inaba
Program :Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Boundaries of quasi-Fuchsian spaces and continuous/discontinuous (Lecture -1) by Ken'ichi Ohshika
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Cannon–Thurston maps – Mahan Mj – ICM2018
Geometry Invited Lecture 5.9 Cannon–Thurston maps Mahan Mj Abstract: We give an overview of the theory of Cannon–Thurston maps which forms one of the links between the complex analytic and hyperbolic geometric study of Kleinian groups. We also briefly sketch connections to hyperbolic sub
From playlist Geometry
Episode 7: Integration - The Mechanical Universe
Episode 7. Integration: Newton and Leibniz arrive at the conclusion that differentiation and integration are inverse processes. “The Mechanical Universe,” is a critically-acclaimed series of 52 thirty-minute videos covering the basic topics of an introductory university physics course. E
From playlist The Mechanical Universe
Automorphism group of the moduli space of parabolic vector bundles by David Alfaya Sanchez
DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be
From playlist Analytic and Algebraic Geometry-2018
Verifying Archimedes' parabolic area formula with Algebraic Calculus | AC and DCB Curves 5| Wild Egg
The Algebraic Calculus One course, available now online at openlnearing, gives a novel and more algebraic approach to the subject, where curves take precedence over functions, where limits and real numbers are not required, and where the logical structure is clear, happily with no cheating
From playlist Algebraic Calculus One Info
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