Cantor set

Cantor set

The Cantor Set, one of the most important sets in mathematics. Come and see why it’s so important, enjoy! Cantor Intersection Theorem https://youtu.be/PybSLopesaE Topology Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmA13vj9xkHGGBXRMV32EKVI Subscribe to my channel: youtube.c

From playlist Topology

Introduction to Sets and Set Notation

This video defines a set, special sets, and set notation.

From playlist Sets (Discrete Math)

Introduction to sets || Set theory Overview - Part 2

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

Introduction to sets || Set theory Overview - Part 1

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty

From playlist Set Theory

What is a Set Complement?

What is the complement of a set? Sets in mathematics are very cool, and one of my favorite thins in set theory is the complement and the universal set. In this video we will define complement in set theory, and in order to do so you will also need to know the meaning of universal set. I go

From playlist Set Theory

MF150: What exactly is a set? | Data Structures in Mathematics Math Foundations | NJ Wildberger

What exactly is a set?? This is a crucial question in the modern foundations of mathematics. Here we begin an examination of this thorny issue, first by discussing the usual English usage of the term, as well as alternate terms, such as collection, aggregate, bunch, class, menagerie etc th

From playlist Math Foundations

An Introduction to Sets (Set Theory)

What is a set in math? What are elements? What is cardinality? What are subsets? In this video we will answer all of those questions. We will pinpoint the definition of sets in math, talk about elements, explain what cardinality is, and what a subset is. I hope you find this video helpful,

From playlist Set Theory

Introduction to Set Theory (Discrete Mathematics)

Introduction to Set Theory (Discrete Mathematics) This is a basic introduction to set theory starting from the very beginning. This is typically found near the beginning of a discrete mathematics course in college or at the beginning of other advanced mathematics courses. ***************

From playlist Set Theory

What is a Power Set? | Set Theory, Subsets, Cardinality

What is a power set? A power set of any set A is the set containing all subsets of the given set A. For example, if we have the set A = {1, 2, 3}. Then the power set of A, denoted P(A), is {{ }, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}} where { } is the empty set. We also know that

From playlist Set Theory

Real Analysis Ep 17: The Cantor Set

Episode 17 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about the Cantor set. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: http://faculty.fairfie

From playlist Math 3371 (Real analysis) Fall 2020

Some Small Ideas in Math: A Set of Measure Zero Versus a Set of First Category (Meager Sets)

There are a ton of different ways to define what it means for a set to be "small". Here, we will focusing on the difference between a set of measure zero versus a set of first category by using examples to demonstrate that they are different sizing methods. Depending on the context of the

From playlist The New CHALKboard

Real Analysis Ep 6: Countable vs uncountable

Episode 6 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about countable and uncountable sets, Cantor's theorem, and the continuum hypothesis. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/c

From playlist Math 3371 (Real analysis) Fall 2020

MAE5790-23 Fractals and the geometry of strange attractors

Analogy to making pastry. The geometry underlying chaos: Stretching, folding, and reinjection of phase space. The same process generates the fractal microstructure of strange attractors. Rössler attractor. Visualizing a strange attractor as an "infinite complex of surfaces" (in the words o

From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University

G. Walsh - Boundaries of Kleinian groups

We study the problem of classifying Kleinian groups via the topology of their limit sets. In particular, we are interested in one-ended convex-cocompact Kleinian groups where each piece in the JSJ decomposition is a free group, and we describe interesting examples in this situation. In ce

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

NUMBERS: "∞" infinity, The ladder of Heaven | Five numbers that changed the world | Cool Math

NUMBERS - secrets of Math. Mathematics is shrouded behind a veil and does not easily reveal itself. Students resort to rote memorization of math formulas to solve problems in a boring exercise of the mind that is also repetitive. However, if you knew the history of mathematics, the way the

From playlist Civilization

Cantor's Infinity Paradox | Set Theory

Sign up to brilliant.org to receive a 20% discount with this link! https://brilliant.org/upandatom/ Cantor sets and the nature of infinity in set theory. Hi! I'm Jade. Subscribe to Up and Atom for new physics, math and computer science videos every two weeks! *SUBSCRIBE TO UP AND ATO

From playlist Math

The Cantor Set and Geometric Series

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Prepare to have your MIND BLOWN! Ok, maybe not, but I still think it is cool stuff.

From playlist All Videos - Part 1

Determine Sets Given Using Set Notation (Ex 2)

This video provides examples to describing a set given the set notation of a set.

From playlist Sets (Discrete Math)

Real Analysis Ep 5: Cardinality

Episode 5 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is cardinality of sets. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: http://faculty.fairfiel

From playlist Math 3371 (Real analysis) Fall 2020