History of algebra

Egyptian algebra

In the history of mathematics, Egyptian algebra, as that term is used in this article, refers to algebra as it was developed and used in ancient Egypt. Ancient Egyptian mathematics as discussed here spans a time period ranging from c. 3000 BC to ca. 300 BC. We only have a limited number of resources (problems) from ancient Egypt that concern algebra. Problems of an algebraic nature appear in both the Moscow Mathematical Papyrus (MMP) and in the Rhind Mathematical Papyrus (RMP) as well as several other sources. (Wikipedia).

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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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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

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Egyptians and the Beginning of Numbers | Math and the Rise of Civilization | Documentary

The ancient Egyptians utilized a numeral system for counting and solving written mathematical problems, often involving multiplication and fractions. Evidence for Egyptian mathematics is limited to a scarce amount of surviving sources written on papyrus. From these texts it is known that a

From playlist Civilization

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Number Systems Ancient to Modern 1: the Egyptians | Sociology and Pure Mathematics | N J Wildberger

Some of the difficulties with modern arithmetic have their origins already in two great ancient civilizations: the Egyptians and the Mesopotamian. Their approaches to arithmetic were quite different: the Egyptians relied on a base 10 system with a theory of fractions, while the Sumerians,

From playlist Sociology and Pure Mathematics

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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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Field Definition (expanded) - Abstract Algebra

The field is one of the key objects you will learn about in abstract algebra. Fields generalize the real numbers and complex numbers. They are sets with two operations that come with all the features you could wish for: commutativity, inverses, identities, associativity, and more. They

From playlist Abstract Algebra

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Decoding the Secrets of Egyptian Hieroglyphs | Ancient Egyptian Alphabet | The Great Courses

Ancient Egyptian civilization is undoubtedly one of the most fascinating chapters in human history. While remnants of the culture like temples, obelisks, and sarcophagi continue to mystify us, you can unlock their true meaning if you know how to read hieroglyphs. To the untrained eye, thi

From playlist Ancient History

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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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Episode 9: Early History - Project MATHEMATICS!

Episode 9. Early History of Mathematics: This video traces some of the landmark developments in the early history of mathematics, from Babylonian calendars on clay tablets produced 5000 years ago, to the introduction of calculus in the seventeenth century. A Program Guide and Workbook is

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The numerical system of the ancient Greeks | Sociology and Pure Maths | N J Wildberger

We review the ancient Greek approach to arithmetic, both Attic and Ionian systems, discuss Archimedes' extension of it in the Sand Reckoner, and look at gematria, the curious art of linking words and numbers arising from the Greek system. This is one of a series of videos where we look br

From playlist Sociology and Pure Mathematics

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Number Systems and the 4,933,001 Missing Romans #MegaFavNumbers

#MegaFavNumbers We often take for granted the significance of our modern number system, but it wasn't always so easy to count to 5 million. Join me on a journey through time and discover how our modern system came to be. Made by Daniel Valvo & Nick Brown Chapters: ---------------------

From playlist MegaFavNumbers

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Magic and the Rhind Papyrus

A review of one type of number trick recorded on the ancient egyptian rhind papyrus

From playlist Algebra

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Old Babylonian mathematics and Plimpton 322: Geometry in ancient Mesopotamia and Egypt

Ancient Egyptian and Old Babylonian geometry had some important common features which are noticeably different from our modern geometry. They were larger motivated by the same kinds of problems, coming from surveying, building projects and making economic calculations. But a very important

From playlist Old Babylonian Mathematics

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Number systems throughout history | Elementary Mathematics (K-6) Explained 3 | NJ Wildberger

Almost every ancient culture had a system for counting. In this video we discuss the number systems of the ancient Babylonians, the Egyptians, the Indus valley culture, the Chinese, the Greeks and the Romans. In each case, a more primitive system (perhaps of strokes, twigs or pebbles) was

From playlist Elementary Mathematics (K-6) Explained

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College Algebra - full course

Algebra is one of the broad areas 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. In this course

From playlist Algebra

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SDS 460: The History of Algebra — with Jon Krohn

In this episode, I talk about the ancient history of algebra, an important component of data science today. Additional materials: https://www.superdatascience.com/460

From playlist Super Data Science Podcast

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The History of Mathematics in 300 Stamps

Oxford Mathematics Public Lectures: Robin Wilson - The History of Mathematics in 300 Stamps The entire history of mathematics in one hour, as illustrated by around 300 postage stamps featuring mathematics and mathematicians from across the world. From Euclid to Euler, from Pythagoras to

From playlist Oxford Mathematics Public Lectures

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Groups in abstract algebra examples

In this tutorial I discuss two more examples of groups. The first contains four elements and they are the four fourth roots of 1. The second contains only three elements and they are the three cube roots of 1. Under the binary operation of multiplication, these sets are in fact groups.

From playlist Abstract algebra

Related pages

Linear equation | Arithmetic progression | Moscow Mathematical Papyrus | Least common multiple | Rhind Mathematical Papyrus | Algebra | Red auxiliary number