Differential Geometry - Claudio Arezzo - Lecture 02
ICTP Mathematics
Differential Geometry - Claudio Arezzo - Lecture 07
ICTP Mathematics
Relativity 7a - differential geometry I
The mathematical field of Differential Geometry turns out to provide the ideal mathematical framework for General Relativity. Here we look at some of the basic ...
ViaScience
Anders Kock. Synthetic differential geometry - new methods for old spaces
Synthetic differential geometry - New methods for old spaces by Anders Kock (Dept. Of Mathematical Sciences, Aarhus University). September 28, 2015 11:15 ...
ERC PhiloQuantumGravity
Differential Geometry - Claudio Arezzo - Lecture 03
ICTP Mathematics
Discrete Differential Geometry - Lecture 20: Geodesics
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg.
Keenan Crane
Differential Geometry - Claudio Arezzo - Lecture 06
ICTP Mathematics
Differential Geometry - Claudio Arezzo - Lecture 13
ICTP Mathematics
Differential Geometry - Claudio Arezzo - Lecture 05
ICTP Mathematics
Curvature: Intuition and Derivation | Differential Geometry
In my 5th video on #DifferentialGeometry, I define the #Curvature for both a unit speed curve reparametrized with respect to arc length and a regular curve ...
Faculty of Khan
More general surfaces | Differential Geometry 22 | NJ Wildberger
This video follows on from DiffGeom21: An Introduction to surfaces, starting with ruled surfaces. These were studied by Euler, and Monge gave examples of how ...
Insights into Mathematics
Differential Geometry - Claudio Arezzo - Lecture 09
ICTP Mathematics
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 ...
Insights into Mathematics
Differential Geometry 3: Frenet-Serret
Third lecture in series on differential geometry. Taught by Dr. Yun Oh of the Andrews University mathematics department. Learn more about math at Andrews: ...
Math at Andrews
Differential Geometry - Claudio Arezzo - Lecture 15
ICTP Mathematics
Theoretical and metho. foundations of autonomous sys. (WS20) - Lecture 6 - Differential Geometry
Checkout the website for information about the class https://ipvs.informatik.uni-stuttgart.de/mlr/teaching/maths-for-intelligent-systems-ws-20-21/
Humans to Robots Motion Research Group
Differential Geometry - Claudio Arezzo - Lecture 12
ICTP Mathematics
Special Lecture Series on Derived Algebraic/Differential Geometry
In the Spring 2019 Semester, the CMSA will be hosting a special lecture series on Derived algebraic/differential geometry run by Artan Sheshmani, with lectures ...
Harvard CMSA
Discrete Differential Geometry - Lecture 14: Discrete Surfaces
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg.
Keenan Crane
Differential Geometry - Claudio Arezzo - Lecture 17
ICTP Mathematics
The Biggest Ideas in the Universe | 13. Geometry and Topology
The Biggest Ideas in the Universe is a series of videos where I talk informally about some of the fundamental concepts that help us understand our natural world.
Sean Carroll
Differential Geometry 5: Fundamental Theorem of Curves
Fifth in series on differential geometry of curves.
Math at Andrews
Differential Geometry - Claudio Arezzo - Lecture 18
ICTP Mathematics
Differential Forms: PART 1A: TANGENT SPACES (INTUITIVELY)
My last video on tangent and cotangent spaces did little to elucidate the motivation of defining (co)tangent spaces the way we did. Hopefully, this video makes ...
Rooney
Differential Geometry - Claudio Arezzo - Lecture 11
ICTP Mathematics
Manifolds, classification of surfaces and Euler characteristic | Differential Geometry 25
Here we give an informal introduction to the modern idea of `manifold', putting aside all the many logical difficulties that are bound up in this definition: difficulties ...
Insights into Mathematics
Topological spaces and manifolds | Differential Geometry 24 | NJ Wildberger
We introduce the notion of topological space in two slightly different forms. One is through the idea of a neighborhood system, while the other is through the idea ...
Insights into Mathematics
Differential Geometry - Claudio Arezzo - Lecture 20
ICTP Mathematics
Differential Geometry 2: Curvature
Second lecture in series on differential geometry. Taught by Dr. Yun Oh of the Andrews University mathematics department. Learn more about math at Andrews: ...
Math at Andrews
Riemannian manifolds, kernels and learning
I will talk about recent results from a number of people in the group on Riemannian manifolds in computer vision. In many Vision problems Riemannian ...
Microsoft Research
The differential calculus for curves, via Lagrange! | Differential Geometry 4 | NJ Wildberger
We rejuvenate the powerful algebraic approach to calculus that goes back to the work of Newton, Euler and particularly Lagrange, in his 1797 book: The Theory ...
Insights into Mathematics
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) ...
Insights into Mathematics
Discrete Differential Geometry - Lecture 15: Curvature of Surfaces
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg.
Keenan Crane
Projective view of conics and quadrics | Differential Geometry 9 | NJ Wildberger
In this video we introduce projective geometry into the study of conics and quadrics. Our point of view follows Mobius and Plucker: the projective plane is ...
Insights into Mathematics
Curvature for the general paraboloid | Differential Geometry 28 | NJ Wildberger
Here we introduce a somewhat novel approach to the curvature of a surface. This follows the discussion in DiffGeom23, where we looked at a paraboloid as a ...
Insights into Mathematics
Stokes' Theorem on Manifolds
Stokes' Theorem is the crown jewel of differential geometry. It extends the fundamental theorem of Calculus to manifolds in n-dimensional space. --- This video ...
Aleph 0
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 ...
Insights into Mathematics
Differential Geometry Problem Set: Surfaces and the First Fundamental Form
Some notes/hints for the first mini-homework http://www.jasoncantarella.com/downloads/minihomework-first-fundamental-form.pdf.
D. Zack Garza
Differential Geometry (MTH-DG) Lecture 1
MATHEMATICS Differential Geometry (MTH-DG) C. Arezzo MTH-DG_L01.mp4.
ICTP Postgraduate Diploma Programme
Lec01-P1 (Introduction: What is Differential Geometric Control?)
Dynamics Uci
Curvature for general algebraic surfaces | Differential Geometry 29 | NJ Wildberger
We extend our approach to curvature to general algebraic surfaces. The formulas get involved, but they have pleasant symmetry and are quite powerful.
Insights into Mathematics
Differential geometry with finite fields | Differential Geometry 7 | NJ Wildberger
With an algebraic approach to differential geometry, the possibility of working over finite fields emerges. This is another key advantage to following Newton, ...
Insights into Mathematics
