Arithmetica (Greek: Ἀριθμητικά) is an Ancient Greek text on mathematics written by the mathematician Diophantus (c. 200/214 AD – c. 284/298 AD) in the 3rd century AD. It is a collection of 130 algebraic problems giving numerical solutions of determinate equations (those with a unique solution) and indeterminate equations. (Wikipedia).
What is the definition of an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Learn to use summation notation for an arithmetic series to find the sum
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
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
Math in the Modern World | Math and the Rise of Civilization | Documentary series
The 20th century saw mathematics become a major profession. Every year, thousands of new Ph.D.s in mathematics were awarded, and jobs were available in both teaching and industry. An effort to catalogue the areas and applications of mathematics was undertaken in Klein's encyclopedia. In a
From playlist Civilization
The Most Difficult Math Problem You've Never Heard Of - Birch and Swinnerton-Dyer Conjecture
The Birch and Swinnerton-Dyer Conjecture is a millennium prize problem, one of the famed seven placed by the Clay Mathematical Institute in the year 2000. As the only number-theoretic problem in the list apart from the Riemann Hypothesis, the BSD Conjecture has been haunting mathematicians
From playlist Math
Fermat's Last Theorem - Numberphile
Simon Singh on Fermat's Last Theorem. Simpsons book: http://amzn.to/1fKe4Yo Fermat book: http://amzn.to/1jWqMTa More links & stuff in full description below ↓↓↓ EXTRA FOOTAGE: http://youtu.be/FXbsIbRVios FERMAT IN SIMPSONS: http://youtu.be/ReOQ300AcSU Interview with Ken Ribet, who played
From playlist Numberphile Videos
The Biggest Project in Modern Mathematics
In a 1967 letter to the number theorist André Weil, a 30-year-old mathematician named Robert Langlands outlined striking conjectures that predicted a correspondence between two objects from completely different fields of math. The Langlands program was born. Today, it's one of the most amb
From playlist Explainers
Finding the sum or an arithmetic series using summation notation
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
"From Diophantus to Bitcoin: Why Are Elliptic Curves Everywhere?" by Alvaro Lozano-Robledo
This talk was organized by the Number Theory Unit of the Center for Advanced Mathematical Sciences at the American University of Beirut, on November 1st, 2022. Abstract: Elliptic curves are ubiquitous in number theory, algebraic geometry, complex analysis, cryptography, physics, and beyo
From playlist Math Talks
What is the formula to find the sum of an arithmetic sequence
👉 Learn all about series. A series is the sum of the terms of a sequence. Just like in sequences, there are many types of series, among which are: arithmetic and geometric series. An arithmetic series is the sum of the terms of an arithmetic sequence. A geometric series is the sum of the t
From playlist Series
Effective height bounds for odd-degree totally real points on some curves - Levent Alpoge
Joint IAS/Princeton University Number Theory Seminar Topic: Effective height bounds for odd-degree totally real points on some curves Speaker: Levent Alpoge Affiliation: Columbia University Date: November 12, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
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
Listening to the Medieval book
Dr. Erik Kwakkel and Dr. Beth Harris look at two manuscripts: 1) Boethius, De institutione arithmetica, c. 1100, The Hague), Royal Library, MS 78 E 59 and 2) Paris Bible, mid 13th century, The Hague, Royal Library, MS 132 F 21 . With special thanks to Ed van der Vlist, Curator of Medieva
From playlist Art of Medieval Europe | Art History | Khan Academy
Numbers and Brains - Numberphile
Your brain seems to treat numbers and words very differently (even if the number is written as a word!). So says cognitive neuropsychologist Brian Butterworth. More links & stuff in full description below ↓↓↓ See another film we did with Brian about dyscalculia: https://www.youtube.com/wa
From playlist Brian Butterworth on Numberphile
Using Clocks to Solve Fractions String 3
Using clocks to understand more fraction sums
From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents
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
Dr. Erik Kwakkel and Dr. Beth Harris look at a medieval textbook: Boethius, De institutione arithmetica, c. 1100 (National Library of the Netherlands, The Hague, MS 78 E 59). With special thanks to Ed van der Vlist, Curator of Medieval Manuscripts, Koninklijke Bibliotheek, National Librar
From playlist Art of Medieval Europe | Art History | Khan Academy