Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
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
Linear Algebra Proofs 15a: Eigenvectors with the Same Eigenvalue Form a Linear Space
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt
From playlist Linear Algebra Proofs
Linear Algebra: Given an orthonormal basis of R^n, we present a quick method for finding coefficients of linear combination in terms of the basis. We also give an analogue of Parseval's Identity, which relates these coefficients to the squared length of the vector.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
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
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
Teach Astronomy - Problems With Greek Cosmology
http://www.teachastronomy.com/ The Greek geocentric cosmology of Aristotle, as propagated by Ptolemy, was highly complex in trying to explain the motions within the solar system. Because the planets do not have uniform motion, the model needed the centers of their motion to be displaced f
From playlist 03. Concepts and History of Astronomy and Physics
A brief History of Logic: Medieval and Arabic Logic | Math Foundations 253 | N J Wildberger
We examine how Aristotle's work on logic came to dominate both medieval and Arabic work on the subject. An important contributor to this development was Boethius (477-524 A.D) who translated Aristotle and made commentary on it. While the Dark Ages in Europe was not conducive to scientific
From playlist Boole's Logic and Circuit Analysis
"Craziest Cults" Show Open (Episode 6) | Join or Die with Craig Ferguson | History
Check out Craig's opening monologue from Episode 6, "History's Craziest Cults" on Join or Die, Thursdays 11/10c Subscribe for more from Join or Die and other great HISTORY shows: http://histv.co/SubscribeHistoryYT Find out more about the show and watch full episodes on our site: http://w
From playlist Join or Die with Craig Ferguson | Official Series Playlist | History
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
Medieval Philosophy - Bryan Magee & Anthony Kenny (1987)
In this program, Anthony Kenny discusses Medieval Philosophy with Bryan Magee. This is an episode from a 1987 series on the Great Philosophers. 00:00 Introduction 03:59 Augustine vs Aquinas 06:05 Universities & Disputation 09:49 Mostly British? 12:23 Reconciling Ancient Philosophy with Ch
From playlist Bryan Magee Interviews - The Great Philosophers (1987)
Lecture 34, Duns Scotus and William of Ockham, of PHL 354/CTI 335, History of Christian Philosophy, The University of Texas at Austin, Spring 2013
From playlist UT Austin: History of Christian Philosophy | CosmoLearning.org Philosophy
A Defense of Classical Theology (Part 1): The New Atheism and the Cosmological Arguments
In part 1, I will go over the major misconceptions of the cosmological arguments promulgated by the likes of popular atheists such as Daniel Dennett, Sam Harris, Christopher Hitchens, and Richard Dawkins. We’ll conclude that their objections, which are also the most common ones in popular
From playlist Theology
Religion Vs Evolution (ft. the Messianic Manic) - Philosophy Tube
Can you believe in both evolution and God? Let me and the Messianic Manic help you out! Messianic Manic’s Half of the Collab: http://tinyurl.com/pko4vnr Ockham’s Razor: http://tinyurl.com/pauxqo7 Was the Universe Designed? http://tinyurl.com/pxea4pc Subscribe! http://www.youtube.com/subs
From playlist A-Level Philosophy
What is Ockham's Razor? - Gentleman Thinker
The simplest explanation is usually the correct one? Or is it more complex than that? Gentleman Thinker playlist: https://www.youtube.com/watch?v=94YV6Lu009k&list=PLvoAL-KSZ32cKobolNFwuqcPJ26cmF_11&index=1 Facebook: https://www.facebook.com/PhilosophyTube?ref=hl Twitter: https://twitter.
From playlist KNOWLEDGE, LOGIC, & RELIGION
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College Algebra