This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/
From playlist Sets
Set Theory (Part 18): The Rational Numbers are Countably Infinite
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will show that the rational numbers are equinumerous to the the natural numbers and integers. First, we will go over the standard argument listing out the rational numbers in a table a
From playlist Set Theory by Mathoma
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
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)
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
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
Set Theory (Part 13): Constructing the Rational Numbers
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will use the integers to construct the rational numbers as a quotient set, just as we constructed the integers. We will also introduce arithmetic on the rational numbers and show that
From playlist Set Theory by Mathoma
In this video we cover some rational function fundamentals, including asymptotes and interecepts.
From playlist Polynomial Functions
Kelly Bickel: Singular rational inner functions on the polydisk
This talk will discuss how to study singular rational inner functions (RIFs) using their zero set behaviors. In the two-variable setting, zero sets can be used to define a quantity called contact order, which helps quantify derivative integrability and non-tangential regularity. In the
From playlist Analysis and its Applications
Set Theory (Part 14): Real Numbers as Dedekind Cuts
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will construct the real number system as special subsets of rational numbers called Dedekind cuts. The trichotomy law and least upper bound property of the reals will also be proven. T
From playlist Set Theory by Mathoma
Construction of the Real Numbers
Dedekind Cuts In this video, I rigorously construct the real numbers from the rational numbers using so-called Dedekind Cuts. It might seem complicated at first, but the advantage is that we can construct the real numbers without using any axioms. More importantly, in the next video, we u
From playlist Real Numbers
algebraic geometry 31 Rational maps
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of rational functions and rational maps, and gives an example of a cubic curve that is not birational to the affine line.
From playlist Algebraic geometry I: Varieties
Prove that the Set of all Positive Rationals with Rational Roots is a Group
Prove that the Set of all Positive Rationals with Rational Roots is a Group If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com Free Homework Help : https://mathsorcererforums.com/ My FaceBook Page: https:/
From playlist Group Theory Problems
Set theory lesson 7 - rational, irrational, subsets of numbers, set builder notation
Today we learn more about the classification of numbers (rational / irrational), and we describe the relationship between these number sets with our previous number sets using a venn diagram. You finally learn about the set builder notation which will help you define your own number sets.
From playlist Maths C / Specialist Course, Grade 11/12, High School, Queensland, Australia
The strangest function I know (linear but not continuous?? huh??)
Keep exploring at https://brilliant.org/TreforBazett. Get started for free, and hurry—the first 200 people get 20% off an annual premium subscription. When you think of linear functions from R to R, you are probably thinking about lines. However, I'm going to show you in this video a craz
From playlist Cool Math Series
Real Analysis Chapter 1: The Axiom of Completeness
Welcome to the next part of my series on Real Analysis! Today we're covering the Axiom of Completeness, which is what opens the door for us to explore the wonderful world of the real number line, as it distinguishes the set of real numbers from that of the rational numbers. It allows us
From playlist Real Analysis
Bjorn Poonen - Cohomological Obstructions to Rational Points [2008]
Cohomological Obstructions to Rational Points. CMI/MSRI Workshop: Modular Forms And Arithmetic June 28, 2008 - July 02, 2008 June 30, 2008 (10:30 AM PDT - 11:30 AM PDT) Speaker(s): Bjorn Poonen (Massachusetts Institute of Technology) Location: MSRI: Simons Auditorium http://www.msri.org
From playlist Number Theory
In this video, Tori explains the meaning of a set. She looks into finite versus infinite sets, and explains elements.
From playlist Basics: College Algebra