Algebra - Ch. 0.5: Basic Concepts (1 of 26) An Overview
Visit http://ilectureonline.com for more math and science lectures! In this video I will give an overview of the basic concepts of algebra. I will review fractions operations of reducing, multiplying, dividing, adding, subtracting, and simplifying fraction. I will review number sets of re
From playlist ALGEBRA 0.5 BASIC CONCEPTS
Visualizing decimal numbers and their arithmetic 67 | Arithmetic and Geometry Math Foundations
This video gives a precise definition of a decimal number as a special kind of rational number; one for which there is an expression a/b where a and b are integers, with b a power of ten. For such a number we can extend the Hindu-Arabic notation for integers by introducing the decimal form
From playlist Math Foundations
Definitions, specification and interpretation | Arithmetic and Geometry Math Foundations 44
We discuss important meta-issues regarding definitions and specification in mathematics. We also introduce the idea that mathematical definitions, expressions, formulas or theorems may support a variety of possible interpretations. Examples use our previous definitions from elementary ge
From playlist Math Foundations
What is a number? | Arithmetic and Geometry Math Foundations 1 | N J Wildberger
The first of a series that will discuss foundations of mathematics. Contains a general introduction to the series, and then the beginnings of arithmetic with natural numbers. This series will methodically develop a lot of basic mathematics, starting with arithmetic, then geometry, then alg
From playlist Math Foundations
An introduction to algebraic curves | Arithmetic and Geometry Math Foundations 76 | N J Wildberger
This is a gentle introduction to curves and more specifically algebraic curves. We look at historical aspects of curves, going back to the ancient Greeks, then on the 17th century work of Descartes. We point out some of the difficulties with Jordan's notion of curve, and move to the polynu
From playlist Math Foundations
Measurement, approximation and interval arithmetic (I) | Real numbers and limits Math Foundations 81
This video introduces interval arithmetic, first in the context of natural numbers, and then for integers. We start with some remarks from the previous video on the difficulties with irrational numbers, sqrt(2), pi and e. Then we give some general results about order (less than, greater
From playlist Math Foundations
The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao
Yufei Zhao Massachusetts Institute of Technology March 3, 2014 The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the primes. In this talk, I will explain the ideas of the proof and discuss our recent simplifications. One of the main ingredie
From playlist Mathematics
The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao
Slides for this talk: https://drive.google.com/file/d/1RdgY6N869MN5lJwl2jv1HwIgWky6aW5C/view?usp=sharing The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao Abstract: The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the p
From playlist Mathematics
(IC 1.1) Information theory and Coding - Outline of topics
A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F Overview of central topics in Information theory and Coding. Compression (source coding) theory: Source coding theorem, Kraft-McMillan inequality, Rate-distortion theorem Error-correctio
From playlist Information theory and Coding
The Correlation of Multiplicative Characters with Polynomials over Finite Fields - Swastik Kopparty
Swastik Kopparty Member, School of Mathematics April 22, 2011 This talk will focus on the complexity of the cubic-residue (and higher-residue) characters over GF(2^n) , in the context of both arithmetic circuits and polynomials. We show that no subexponential-size, constant-depth arithmet
From playlist Mathematics
How to do arithmetic with tree diagrams | Understand math and philosophy better
Tree diagrams are a key tool for philosophical analysis. In this video, I show how to apply them to math. This can help you understand math concepts better and help you get more comfortable using trees in a variety of ways. Critical Fallibilism is a rational philosophy developed by Elliot
From playlist Summer of Math Exposition 2 videos
Arithmetic with fractions | Arithmetic and Geometry Math Foundations 10 | N J Wildberger
We define addition and multiplication of fraction to parallel the operations for natural number quotients. A crucial step is to check that these operations are actually well-defined, that is that they respect the notion of equality built into the definition of a fraction. ****************
From playlist Math Foundations
The Green - Tao Theorem (Lecture 4) by D. S. Ramana
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Faster Arbitrary Precision Computation of Elementary Functions
For the latest information, please visit: http://www.wolfram.com Speaker: Mark Sofroniou Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.
From playlist Wolfram Technology Conference 2015
Bryna Kra : Multiple ergodic theorems: old and new - lecture 3
Abstract : The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of these advances and the different techniques that have been used, focusing on co
From playlist Dynamical Systems and Ordinary Differential Equations
#2 Idenitfying Irrational numbers
An example that helps in identifying irrational numbers and understanding the basic concepts of irrational numbers.
From playlist Middle School This Year
Classifying Polynomials from a Computational Perspective by Manindra Agrawal
ICTS Colloquium Title : Classifying Polynomials from a Computational Perspective Speaker : Manindra Agrawal, Indian Institute of Technology, Kanpur Date : Monday, June 10, 2019 Time : 3:00
From playlist ICTS Colloquia
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Mark Sofroniou Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, an
From playlist Wolfram Technology Conference 2017