Geometric topology | Quaternions | Spheres | Analytic geometry | Four-dimensional geometry | Algebraic topology

3-sphere

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).

3-sphere
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Vector Equations of Spheres (1 of 2: Tangential spheres)

More resources available at www.misterwootube.com

From playlist Further Work with Vectors

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Three-Dimensional Figures

This video is about Three-Dimensional Figures

From playlist Surface Area and Volume

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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

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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

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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

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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

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g-conjecture - Numberphile

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

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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.

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Spheres and Cylinders

An introduction to the process of finding the volume of a sphere

From playlist Middle School - Worked Examples

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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

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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

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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

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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

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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

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Dimensions Chapter 7

Chapter 7 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

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