Algebra and Tiling: Homomorphisms in the Service of Geometry is a mathematics textbook on the use of group theory to answer questions about tessellations and higher dimensional honeycombs, partitions of the Euclidean plane or higher-dimensional spaces into congruent tiles. It was written by Sherman K. Stein and Sándor Szabó, and published by the Mathematical Association of America as volume 25 of their Carus Mathematical Monographs series in 1994. It won the 1998 Beckenbach Book Prize, and was reprinted in paperback in 2008. (Wikipedia).
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
Algebra for beginners || Basics of Algebra
In this course you will learn about algebra which is ideal for absolute beginners. #Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like
From playlist Algebra
Using Clocks to Solve Fractions String 2
Another introductory video using clocks to understand fractions
From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents
Using Clocks to Solve Fractions String 7
Introducing subtraction into the clock model
From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents
Using Clocks to Solve Fractions String 8
A fun string dealing with subtraction that leads to sixths and twelfths
From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents
Using Clocks to Solve Fractions String 6
Here we use the clock model to deal with 3/18 and 3/9
From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents
Using Clocks to Solve Fractions String 4
More connections between clocks and fractions. Here we introduce 1/10
From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents
Using Clocks to Solve Fractions String 3
Using clocks to understand more fraction sums
From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents
A previously unknown substitution tiling can be built from powers 0 to 4 of a complex root of x^3 == x^2 + 1. In this talk, Ed Pegg discusses how algebraic numbers and barycentric coordinates can be used to explore both a new branch of tiling systems and simple representations for some old
From playlist Wolfram Technology Conference 2020
Using Clocks to Solve Fractions String 1
Using a clock model and the patterns in a fraction string to make sense of unfriendly fractions
From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents
Cluster algebras from surfaces II: expansion formulas, good bases,... (Lecture 2) by Jon Wilson
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Cluster algebras from surfaces II: ... (Lecture 3) by Jon Wilson
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Ed Pegg - New Substitution Tilings - CoM Apr 2021
A previously unknown substitution tiling can be directly built from powers 0 to 4 of a complex root of x^3 = x^2+1, the supergolden ratio. This talk will discuss new and old tiling systems and the algebraic roots behind them. Ed Pegg Jr is a long time recreational mathematician who worked
From playlist Celebration of Mind 2021
This is Lecture 13 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2013.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Ex: Model the Product of Two Binomials Using Algebra Tiles
This video provides two examples of how to model the product of two binomials using algebra tiles. Site: http://mathispower4u.com
From playlist Distribution Models
Ex: Model Distribution with Algebra Tiles
This video provides two examples of how to model distribution using algebra tiles. Site: http://mathispower4u.com
From playlist Distribution Models
Boris Solomyak: Lecture on Delone sets and Tilings
Abstract: In this lecture we focus on selected topics around the themes: Delone sets as models for quasicrystals, inflation symmetries and expansion constants, substitution Delone sets and tilings, and associated dynamical systems. Recording during the Jean-Morlet chair research school "T
From playlist Dynamical Systems and Ordinary Differential Equations
Constructing and solving a one-step inequality | Linear inequalities | Algebra I | Khan Academy
Inequalities are more than abstract concepts and exercises. They help solve real life problems. Here's an example. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/one_step_inequalities?utm_source=YT&ut
From playlist Algebra I | High School Math | Khan Academy
Algebra tiles are a great way of learning to solve simple linear equations. In this video I show how to use algebra tiles to work with variables on both sides as well as how to handle negative numbers. This video will prove useful to students and teachers alike.
From playlist Summer of Math Exposition Youtube Videos
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