Old Babylonian mathematics and Plimpton 322: The remarkable OB sexagesimal system
75.3 هزار بار بازدید -
7 سال پیش
-
The Old Babylonian arithmetical system
The Old Babylonian arithmetical system was powerful and logical, and gave this ancient civilization a huge computational capability. Many mysteries remain unanswered, for example how and why such an early culture was able to adopt such a sophisticated system.
In this lecture Daniel and Norman look at how the Babylonians adopted the Sumerian base 60 system, how the reciprocal table played a big role, their use of multiple tables, and how quadratic questions arose naturally in the context of Pythagoras' theorem, called the Diagonal Rule. We also look at the famous tablet YBC 7289 involving the OB approximation to a square root of 2.
Video Contents:
00:00 Introduction
01:13 Sexagesimal number system
08:33 The Standard Reciprocal Table
13:00 Factors used in multiple tables
16:17 A formula for Babylonians triples
21:57 YBC 7289 [ geometrical diagram]
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Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...
My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.
Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects!
If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at Patreon: njwildberger Your support would be much appreciated.
Here are the Insights into Mathematics Playlists:
MathHistory: A course in the History ...
WildTrig: Intro to Rational Trigonometry
Math Foundations
Wild Linear Algebra
Famous Math Problems
Box Arithmetic
Elementary Mathematics (K-6) Explained
Year9Maths
Ancient Mathematics
Wild West Banking
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Sociology and Pure Physics
Old Babylonian Mathematics
Probability and Statistics: an introd...
Boole's Logic and Circuit Analysis
Universal Hyperbolic Geometry
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Diffusion Symmetry: A bridge between ...
Here are the Wild Egg Maths Playlists (some available only to Members!)
Algebraic Calculus One
Classical to Quantum
Algebraic Calculus Two
Advice for mathematics exploration
Solving Polynomial Equations | Explor...
The Hexagrammum Mysticum (Members only)
Algebraic Calculus and dCB curves | E...
Dynamics on Graphs
Playlist
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************************
In this lecture Daniel and Norman look at how the Babylonians adopted the Sumerian base 60 system, how the reciprocal table played a big role, their use of multiple tables, and how quadratic questions arose naturally in the context of Pythagoras' theorem, called the Diagonal Rule. We also look at the famous tablet YBC 7289 involving the OB approximation to a square root of 2.
Video Contents:
00:00 Introduction
01:13 Sexagesimal number system
08:33 The Standard Reciprocal Table
13:00 Factors used in multiple tables
16:17 A formula for Babylonians triples
21:57 YBC 7289 [ geometrical diagram]
************************
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...
My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.
Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects!
If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at Patreon: njwildberger Your support would be much appreciated.
Here are the Insights into Mathematics Playlists:
MathHistory: A course in the History ...
WildTrig: Intro to Rational Trigonometry
Math Foundations
Wild Linear Algebra
Famous Math Problems
Box Arithmetic
Elementary Mathematics (K-6) Explained
Year9Maths
Ancient Mathematics
Wild West Banking
Sociology and Pure Mathematics
Sociology and Pure Physics
Old Babylonian Mathematics
Probability and Statistics: an introd...
Boole's Logic and Circuit Analysis
Universal Hyperbolic Geometry
Differential Geometry
Algebraic Topology
MathSeminars
Playing Go
Diffusion Symmetry: A bridge between ...
Here are the Wild Egg Maths Playlists (some available only to Members!)
Algebraic Calculus One
Classical to Quantum
Algebraic Calculus Two
Advice for mathematics exploration
Solving Polynomial Equations | Explor...
The Hexagrammum Mysticum (Members only)
Algebraic Calculus and dCB curves | E...
Dynamics on Graphs
Playlist
Triangle Geometry
Explorations with q-series
Six: An elementary course in Pure Mat...
Maxel Inverses and Orthogonal Polynom...
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7 سال پیش
در تاریخ 1396/05/21 منتشر شده
است.
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