Lecture 2. Homomorphisms and ideals
From playlist Abstract Algebra 2
Algebra for Beginners | Basics of Algebra
#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten
From playlist Linear Algebra
Using the general and vector forms of the equation of a plane from the normal and a point, or two points on the plane.
From playlist Linear Algebra
Determining if a vector is a linear combination of other vectors
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determining if a vector is a linear combination of other vectors
From playlist Linear Algebra
9A_3 The Inverse of a Matrix Using the Identity Matrix
Continuation of the use of an identity matrix to calculate the inverse of a matrix
From playlist Linear Algebra
From playlist College Algebra
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
RNT1.4. Ideals and Quotient Rings
Ring Theory: We define ideals in rings as an analogue of normal subgroups in group theory. We give a correspondence between (two-sided) ideals and kernels of homomorphisms using quotient rings. We also state the First Isomorphism Theorem for Rings and give examples.
From playlist Abstract Algebra
Circuits, Graph Theory, and Linear Algebra | #some2
This is a submission for the Summer of Math Exposition #2 by Peter C and Akshay S, who are high school students interested in math. Spiritual enthusiasm result from https://www.youtube.com/watch?v=eyuNrm4VK2w The crux of this video was motivated by Gilbert Strang's textbook on linear alg
From playlist Summer of Math Exposition 2 videos
Learn how to use Snell's Law to analyze complex refraction scenarios. Four example problems are solved. The Snell's Law of Refraction Video Tutorial (referenced on Slide 3) can be found at: https://youtu.be/PUUQk7VPPfQ You can find more information that supports this video on our websi
From playlist Refraction and Lenses
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
Quantitative bounds on the topology of semi-algebraic and (...) - S. Basu - Workshop 1 - CEB T1 2018
Saugata Basu (Purdue) / 02.02.2018 Quantitative bounds on the topology of semi-algebraic and definable sets I will survey some old and new results on bounding the topology of semi-algebraic and definable sets in terms of various parameters of their defining formulas, and indicate how som
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Points, lines, planes, etc. - June Huh
Topic: Points, lines, planes, etc. Speaker: June Huh, Member, School of Mathematics Time/Room: 4:00pm - 4:15pm/S-101 More videos on http://video.ias.edu
From playlist Mathematics
The Codimension Barrier in Incidence Geometry - Larry Guth
Larry Guth Massachusetts Institute of Technology March 14, 2013 Incidence geometry is a part of combinatorics that studies the intersection patterns of geometric objects. For example, suppose that we have a set of L lines in the plane. A point is called r-rich if it lies in r different lin
From playlist Mathematics
Mod-04 Lec-34 Electromagnetic Waves
Electromagnetic Theory by Prof. D.K. Ghosh,Department of Physics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Electromagnetic Theory
MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang The incidence matrix has a row for every edge, containing -1 and +1 to show which two nodes are connec
From playlist MIT Learn Differential Equations
Projective Coordinates for Points and Lines | Algebraic Calculus One | Wild Egg and Anna Tomskova
Dr Anna Tomskova explains a more modern framework for projective geometry where the extra coordinate often associated with infinity is the first coordinate in a projective vector. This gives us a uniform way to associate to affine points and lines projective points and lines, with the adva
From playlist Algebraic Calculus One
Basic Organization of 6 objects | Six: An Elementary Course in Pure Mathematics Six2 | Wild Egg
We continue our introduction to this elementary course in Pure Mathematics, concentrated on the magical and beautiful properties of the number 6. In our first video we introduced Nodes, Edges and Meets. In this video we review these and give a simple geometrical interpretation of them in t
From playlist Six: An elementary course in Pure Mathematics
Characteristic subsets and the polynomial method – Miguel Walsh – ICM2018
Dynamical Systems and Ordinary Differential Equations | Number Theory Invited Lecture 9.14 | 3.9 Characteristic subsets and the polynomial method Miguel Walsh Abstract: We provide an informal discussion of the polynomial method. This is a tool of general applicability that can be used to
From playlist Number Theory
Abstract Algebra: The definition of a Ring
Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend th
From playlist Abstract Algebra