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Andrew McCrady
The Extended Complex Plane (Riemann Sphere)

This video introduces the extended complex plane, obtained by adjoining the symbol "infinity" to the complex plane. Then we ...

17:18
The Extended Complex Plane (Riemann Sphere)

8,919 views

3 years ago

Stars Time and Waves
Introduction to Riemann Sphere (A visualized approach)

By Zicheng This video is made by a high school student. Please feel free to discuss any errors or any parts that could be ...

14:49
Introduction to Riemann Sphere (A visualized approach)

1,053 views

9 months ago

Mathemaniac
What if we define 1/0 = ∞? | Möbius transformations visualized

Head to https://brilliant.org/Mathemaniac/ to get started for free with Brilliant's interactive lessons. The first 200 listeners will also ...

25:27
What if we define 1/0 = ∞? | Möbius transformations visualized

178,252 views

4 years ago

Mike, the Mathematician
The Stereographic Projection onto the Extended Complex Plane

Many times in complex analysis we need a allow for infinity to be a permissible value to handle poles and rational functions.

10:43
The Stereographic Projection onto the Extended Complex Plane

801 views

10 months ago

Aleph 0
The shocking connection between complex numbers and geometry.

A peek into the world of Riemann surfaces, and how complex analysis is algebra in disguise. Secure your privacy with Surfshark!

13:54
The shocking connection between complex numbers and geometry.

128,150 views

1 year ago

Insights into Mathematics
B. Riemann  and the complex sphere | Sociology and Pure Mathematics | N J Wildberger

Bernhard Riemann was a major pioneer in several important areas of mathematics, and in particular he helped develop a theory ...

31:37
B. Riemann and the complex sphere | Sociology and Pure Mathematics | N J Wildberger

15,969 views

3 years ago

Mathemaniac
What do complex functions look like? | Essence of complex analysis #4

A compilation of plots of different complex functions, like adding and multiplying complex constants, exponentiation, the power ...

28:33
What do complex functions look like? | Essence of complex analysis #4

133,874 views

4 years ago

3Blue1Brown
But what is the Riemann zeta function? Visualizing analytic continuation

Unraveling the enigmatic function behind the Riemann hypothesis Help fund future projects: ...

22:11
But what is the Riemann zeta function? Visualizing analytic continuation

5,100,867 views

9 years ago

People also watched

Lemmaxiom
Visualizing Complex-Valued Functions

This video goes over a few means of visualizing complex-valued functions/transformations, including domain coloring, modular ...

23:38
Visualizing Complex-Valued Functions

33,016 views

4 years ago

Mathemaniac
Green's functions: the genius way to solve DEs

Green's functions is a very powerful and clever technique to solve many differential equations, and since differential equations are ...

22:52
Green's functions: the genius way to solve DEs

723,372 views

4 years ago

matsciencechannel
Riemann sphere and Möbius transformations Sushmita Venugopalan, IMSc

This is a Riemann sphere and on the other side we have a complex plane which is a 2d object and we have to now precisely have ...

1:26:24
Riemann sphere and Möbius transformations Sushmita Venugopalan, IMSc

10,913 views

7 years ago

David Covert
Stereographic Projection and the Riemann Sphere

... about the plane we're thinking about the complex plane of course which is why we're talking about this in this complex analysis ...

12:58
Stereographic Projection and the Riemann Sphere

20,881 views

4 years ago

VisualMath
What are...Riemann surfaces?

Goal. I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.

13:12
What are...Riemann surfaces?

13,604 views

2 years ago

zetamath
Complex Integration and Finding Zeros of the Zeta Function

In this video we examine the other half of complex calculus: integration. We explain how the idea of a complex line integral arises ...

52:49
Complex Integration and Finding Zeros of the Zeta Function

233,443 views

3 years ago

Dyslexic Artist Theory on the Physics of Time
Where is the Riemann Surface how is it formed?

The Riemann Surface plays a part in quantum mechanics in both string theory and twistor theory. But no theories has an objective ...

11:23
Where is the Riemann Surface how is it formed?

7,697 views

7 years ago

Michael Penn
How to visualize complex functions.

Support the channel Patreon: https://www.patreon.com/michaelpennmath Merch: ...

15:54
How to visualize complex functions.

31,052 views

3 years ago

DIBEOS
Riemannian Manifolds in 12 Minutes

PDF link if you want a more detailed explanation: https://dibeos.net/2025/05/03/riemannian-manifolds-in-12-minutes/ Submit your ...

12:56
Riemannian Manifolds in 12 Minutes

30,162 views

8 months ago

Sweardog
Stereographic Projection Tutorial Using Line Parametrization

An all-in-one tutorial on how to parameterize lines and how to stereographically project a sphere to a plane using a ...

21:15
Stereographic Projection Tutorial Using Line Parametrization

9,915 views

5 years ago

Michael Allen
The Riemann sphere and extended complex plane

The simplest riemann surface is just the complex plane itself uh probably the next simplest uh riemann surface is called the ...

3:41
The Riemann sphere and extended complex plane

1,558 views

4 years ago

Tech4Trends
Complex Analysis 07- Riemann Sphere/ Stereographic projection and neighborhood of point at infinity

In this lecture, we discuss Riemann sphere and stereographic projection of the extended complex plane. We then define the ...

50:52
Complex Analysis 07- Riemann Sphere/ Stereographic projection and neighborhood of point at infinity

4,011 views

4 years ago

Elvis Pillinen
Riemann sphere projection

How the complex plane maps onto Riemann sphere. Created in Matlab.

0:09
Riemann sphere projection

906 views

3 years ago

Mathemaniac
The 5 ways to visualize complex functions | Essence of complex analysis #3

Complex functions are 4-dimensional: its input and output are complex numbers, and so represented in 2 dimensions each, ...

14:32
The 5 ways to visualize complex functions | Essence of complex analysis #3

282,828 views

4 years ago

Ranjan Khatu
Complex Analysis | Unit 1 | Lecture 18 | Stereographic Projection

Stereographic Projection.

14:58
Complex Analysis | Unit 1 | Lecture 18 | Stereographic Projection

36,700 views

4 years ago

Andrew McCrady
The Stereographic Projection: Learn it FAST!

Need to understand the basics of the stereographic projection fast? Also need the rigorous details to construct it? Then start here!

3:12
The Stereographic Projection: Learn it FAST!

17,201 views

3 years ago

Stokes-Line
[CA/Week 3] 4. Riemann sphere.

Week 3 of the course "Complex Analysis" is dedicated to the residue theory and computation of integrals in a complex plane.

4:17
[CA/Week 3] 4. Riemann sphere.

17,818 views

5 years ago

Definition Discovery
Understanding the Riemann Sphere: An Essential Concept in Mathematics

01:06 • The Origin and Importance 01:31 • Riemann Sphere in Complex Analysis 01:55 • Visualizing the Riemann Sphere.

2:56
Understanding the Riemann Sphere: An Essential Concept in Mathematics

813 views

2 years ago

Oscar Watson
Riemann Sphere
2:38
Riemann Sphere

196 views

2 years ago

Bad Maffs
Riemann Surfaces Poorly Explained

A poor explanation of the concept of Riemann surfaces. I'm sorry.

3:55
Riemann Surfaces Poorly Explained

7,887 views

3 years ago

DestinedTrader
Singularity? Riemann Sphere and Hypothesis

Space Time Light Schwarzschild radius.

4:05
Singularity? Riemann Sphere and Hypothesis

226 views

5 years ago