Geometric topology | Quaternions | Spheres | Analytic geometry | Four-dimensional geometry | Algebraic topology
In mathematics, a 3-sphere is a higher-dimensional analogue of a sphere. It may be embedded in 4-dimensional Euclidean space as the set of points equidistant from a fixed central point. Analogous to how the boundary of a ball in three dimensions is an ordinary sphere (or 2-sphere, a two-dimensional surface), the boundary of a ball in four dimensions is a 3-sphere (an object with three dimensions). A 3-sphere is an example of a 3-manifold and an n-sphere. (Wikipedia).
Vector Equations of Spheres (1 of 2: Tangential spheres)
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From playlist Further Work with Vectors
This video is about Three-Dimensional Figures
From playlist Surface Area and Volume
Calculus 3: Graphing in 3-D Basic Shapes (4 of 9) Equation of a Sphere
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the equation of a sphere in 3 dimensional space using the line segment and radius equations in 3 dimensional space. Next video in the series can be seen at: https://youtu.be/6XLYbuohq98
From playlist CALCULUS 3 CH 3.2 GRAPHING IN 3-D
From playlist Dimensions Deutsch
Space Coordinates Plotting Points in 3 Dimensions
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Space Coordinates Plotting Points in 3 Dimensions
From playlist Calculus 3
Multivariable Calculus | The equation of a sphere.
We derive the equation of a sphere in R^3 and look at some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Common Surfaces in Multivariable Calculus
From playlist Dimensions Russian / Pусский
From playlist Dimensions Italiano
Learn how to determine the volume of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Discussing h-vectors and the g-conjecture. Featuring June Huh from the Institute for Advanced Study at Princeton University. More links & stuff in full description below ↓↓↓ A little extra bit from this interview: https://youtu.be/cFKGX3vAs_Q Shapes in higher dimensions: https://youtu.b
From playlist Fields Medallists on Numberphile
Math B - Optimisation / optimization - Maximise volume of cone inscribed in sphere
In this second lesson on optimisation using derivatives, we will find the largest possible volume of a right circular cone inscribed in a sphere. This is a very difficult calculus differentiation question, be prepared! Make sure you have done all my differential calculus lessons as well as
From playlist Maths B / Methods Course, Grade 11/12, High School, Queensland, Australia.
An introduction to the process of finding the volume of a sphere
From playlist Middle School - Worked Examples
Progress in the theory of CMC surfaces in locally homgeneous 3-manifolds X - William Meeks
Workshop on Mean Curvature and Regularity Topic: Progress in the theory of CMC surfaces in locally homgeneous 3-manifolds X Speaker: William Meeks Affiliation: University of Massachusetts; Member, School of Mathematics Date: November 9, 2018 For more video please visit http://video.ias.e
From playlist Workshop on Mean Curvature and Regularity
Étienne Ghys: A guided tour of the seventh dimension
Abstract: One of the most amazing discoveries of John Milnor is an exotic sphere in dimension 7. For the layman, a sphere of dimension 7 may not only look exotic but even esoteric... It took a long time for mathematicians to gradually accept the existence of geometries in dimensions higher
From playlist Abel Lectures
Johnathan Bush (7/8/2020): Borsuk–Ulam theorems for maps into higher-dimensional codomains
Title: Borsuk–Ulam theorems for maps into higher-dimensional codomains Abstract: I will describe Borsuk-Ulam theorems for maps of spheres into higher-dimensional codomains. Given a continuous map from a sphere to Euclidean space, we say the map is odd if it respects the standard antipodal
From playlist AATRN 2020
Lie Groups and Lie Algebras: Lesson 37 - The Fundamental Groups of SU(2) and SO(3)
Lie Groups and Lie Algebras: Lesson 37 - Homotopy Groups of SU(2) and SO(3) In this lesson we discover the Fundamental Group of SU(2) and S0(3) and learn the critical fact that they are not the same. That is, the Fundamental Group associated with the topological space SU(2) is simply conn
From playlist Lie Groups and Lie Algebras
The Poincaré Conjecture (special lecture) John W. Morgan [ICM 2006]
slides for this talk: https://www.mathunion.org/fileadmin/IMU/Videos/ICM2006/tars/morgan2006.pdf The Poincaré Conjecture (special lecture) John W. Morgan Columbia University, USA https://www.mathunion.org/icm/icm-videos/icm-2006-videos-madrid-spain/icm-madrid-videos-24082006
From playlist Mathematics
Chapter 7 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
From playlist Drawing a sphere