Computer algebra systems

Cambridge Algebra System

Cambridge Algebra System (CAMAL) is a computer algebra system written in Cambridge University by David Barton, Steve Bourne, and John Fitch. It was initially used for computations in celestial mechanics and general relativity. The foundation code was written in Titan computer assembler,. In 1973, when Titan was replaced with an , it was rewritten in ALGOL 68C and then BCPL where it could run on IBM mainframes and assorted microcomputers. (Wikipedia).

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The Cartesian system -- College Algebra

This lecture is on College Algebra. It follows the introductory part of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist College Algebra

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Intro to Functions

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

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The Euclidean plane -- College Algebra

This lecture is on College Algebra. It follows the introductory part of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist College Algebra

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System of Linear Equations with Two Variables (pt. 1)

This video introduces systems of linear equations with two variables (from a college algebra standpoint) and shows how to determine whether a given ordered pair is a solution to the system. Course: College Algebra Book reference: College Algebra Essentials, 3e. By Robert Blitzer. Chapter

From playlist College Algebra

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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

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What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational

We've mentioned in passing some different ways to classify numbers, like rational, irrational, real, imaginary, integers, fractions, and more. If this is confusing, then take a look at this handy-dandy guide to the taxonomy of numbers! It turns out we can use a hierarchical scheme just lik

From playlist Algebra 1 & 2

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What is Abstract Algebra? (Modern Algebra)

Abstract Algebra is very different than the algebra most people study in high school. This math subject focuses on abstract structures with names like groups, rings, fields and modules. These structures have applications in many areas of mathematics, and are being used more and more in t

From playlist Abstract Algebra

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Film Interviews with Leading Thinkers: John Coates [2008]

An interview on the life and work of Professor John Coates, Sadleirian Professor of mathematics at the University of Cambridge. Filmed on Monday 25th February by Alan Macfarlane and edited and summarised by Sarah Harrison, lasts about two hours. Created: 2011-03-18 16:27 Collection: Fil

From playlist Mathematics

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Film Interviews with Leading Thinkers: Ken Moody [2008]

Description: An interview of the mathematician and computer scientist Ken Moody. Filmed on 17th August 2008 by Alan Macfarlane and edited by Sarah Harrison. Additions in square brackets are by Ken Moody. Generously supported by the Leverhulme Trust. Created: 2011-04-11 15:38 Collection:

From playlist Mathematics

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Topics in Combinatorics lecture 1.0 -- welcome

This is the first video of a course entitled Topics in Combinatorics, which is given as part of the Part III Mathematics course at Cambridge University in the Michaelmas term of 2020. Because of the pandemic, all courses are online this year, and since we are allowed to post our lectures o

From playlist Topics in Combinatorics (Cambridge Part III course)

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History of Science and Technology Q&A (September 8, 2021)

Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Originally livestreamed at: https://twitch.tv/stephen_wolfram/ Outline of Q&A 0:00 Stream starts 4:02 Stephen begins the stream 4:16 In your opinion, who is the most snub

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

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SDS 451: Translating PhD Research into ML Applications — with Dan Shiebler

Dan Shiebler joins us to discuss his category theory Ph.D. program, his full-time job at Twitter, and how the two crossover and combine in his overall data work. In this episode you will learn: • Dan’s neuroscience undergrad and MATLAB [2:38] • Dan’s Ph.D. timeline and research [12:27] •

From playlist Super Data Science Podcast

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50k Subscribers Celebration Q&A Part 2

I answer 150 questions sent in by YOU - the viewers - as part of the Tom Rocks Maths 50k subscribers celebration. After running out of time to answer all of your questions in the original 50k subscriber livestream Q&A, I've recorded my answers to the remaining 150 questions for you to enj

From playlist Special Events and Livestreams

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Learn Algebra from START to FINISH

In this video I will show you how you can learn algebra from the very beginner level to advanced level. I will show you a few books that are awesome for beginners, as well as good intermediate level books and even super advanced algebra books. I hope you enjoy this video:) Stuff from this

From playlist Books

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Could These Numbers Unravel New Dimensions in Space?

These multidimensional number systems are helping us explain the laws of nature. Here’s how. Can Hawking’s Black Hole Paradox Be Solved With Fuzzballs? - https://youtu.be/esPa1tVSjew Read More: The Peculiar Math That Could Underlie The Laws of Nature https://www.quantamagazine.org/the-

From playlist Elements | Season 4 | Seeker

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Lenore Blum - Alan Turing and the other theory of computing and can a machine be conscious?

Abstract Most logicians and theoretical computer scientists are familiar with Alan Turing’s 1936 seminal paper setting the stage for the foundational (discrete) theory of computation. Most however remain unaware of Turing’s 1948 seminal paper which introduces the notion of condition, sett

From playlist Turing Lectures

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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

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History of Science and Technology Q&A for Kids and Others (Jan. 14, 2021)

Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Originally livestreamed at: https://twitch.tv/stephen_wolfram Outline of Q&A: 0:00 Stream starting 2:33 Stephen begins the Q&A 3:33 Begin discussing the history of LISP 8

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

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Compositions -- College Algebra

This lecture is on College Algebra. It follows the introductory part of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist College Algebra

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Computer algebra system