The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.
Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. The most ancient mathematical texts available are Plimpton 322 (Babylonian c. 1900 BC), the Rhind Mathematical Papyrus (Egyptian c. 2000-1800 BC) and the Moscow Mathematical Papyrus (Egyptian c. 1890 BC). All of these texts concern the so-called Pythagorean theorem, which seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry.
The study of mathematics as a demonstrative discipline begins in the 6th century BC with the Pythagoreans, who coined the term "mathematics" from the ancient Greek μάθημα (mathema), meaning "subject of instruction".Greek mathematics greatly refined the methods (especially through the introduction of deductive reasoning and mathematical rigor in proofs) and expanded the subject matter of mathematics.Chinese mathematics made early contributions, including a place value system. The Hindu-Arabic numeral system and the rules for the use of its operations, in use throughout the world today, likely evolved over the course of the first millennium AD in India and were transmitted to the west via Islamic mathematics through the work of Muḥammad ibn Mūsā al-Khwārizmī.Islamic mathematics, in turn, developed and expanded the mathematics known to these civilizations. Many Greek and Arabic texts on mathematics were then translated into Latin, which led to further development of mathematics in medieval Europe.
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Discrete Math (includes a range of topics meant for computer scientists including graph theo...
published: 15 Oct 2018
History of Mathematics Overview- MATHEMATICS ALIVE
Most of the mathematicians that this video talks about had been dead for a long time, but their ideas are very much alive today. Knowing the contributions of these mathematicians to our present day mathematics leads us to a greater appreciation of their legacy to us. These mathematicians are interesting people and they made mathematics interesting.
published: 02 Sep 2020
BBC. The Story of Maths. The Language of the Universe
BBC The Story of Maths. The language of the universe from the BBC.
A documentary with subtitles. Episode 01
Acquainted with the fundamental mathematics in our lives, Marcus du Sauto explores the mathematics of Ancient Egypt, Mesopotamia and Greece.
In Egypt, he discloses the use of a decimal system based on ten fingers, while in the former Mesopotamia, two arms were counted to 60.
In Greece, he considers the contributions of some of the giants of mathematics, including Plato, Euclid, Archimedes, and Pythagoras, who are credited with starting the transformation of mathematics from a tool for counting into an analytical subject that we know today.
Chronology of the history of mathematics:
1:32 - The first signs of mathematics can be found in ancient Egypt
8:34 - Egypt: papyrus help and ...
published: 13 Jan 2020
History of Mathematics
WEBSITE: http://www.teachertube.com/math
An animated movie on the development of numbers throughout history.
published: 22 Aug 2009
The Map of Mathematics
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.
#mathematics #DomainOfScience
If you would like to buy a poster of this map, they are available here:
North America: https://store.dftba.com/products/map-of-mathematics-poster
Everywhere else: http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics
French version: https://www.redbubble.com/people/dominicwalliman/works/40572671-the-map-of-mathematics-french-version?asc=u
Spanish Version: https://www.redbubble.com/people/dominicwalliman/works/40572693-the-map-of-mathematics-spanish-version?asc=u
I have also made a version available for educational use which you can find here: ht...
published: 01 Feb 2017
History of Mathematics | English | History
It is pretty hard to understand the intelligence of major mathematical innovations. On the one hand they often seem as isolated sparks of wisdom although in fact they are the conclusion of work by various, often less able, mathematicians over a long period.
We view the history of mathematics from our own position of understanding and difficulty. There can be no other way but yet we have to try to appreciate the change among our viewpoint and that of mathematicians centuries ago. Often the way mathematics is taught today makes it harder to know the problems of the past.
published: 26 Dec 2018
Is math discovered or invented? - Jeff Dekofsky
Explore some of the most famous arguments in the ancient debate: is math a human construct or part of the fabric of the universe?
--
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
Lesson by Jeff Dekofsky, animation by The Tremendousness Collective.
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published: 27 Oct 2014
Dr. Maat: The Evoltion Of Mathematics And It's Applications In Africa
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Versión...
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Chaos Theory Lectures: https://www.youtube.com/watch?v=ycJEoqmQvwg&index=1&list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V
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Graph Theory: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fgraphs
Discrete Math (includes a range of topics meant for computer scientists including graph theory, number theory, cryptography, etc): https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Fspecializations%2Fdiscrete-mathematics
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►Related Youtube Videos
Turning a Sphere Inside Out: https://www.youtube.com/watch?v=-6g3ZcmjJ7k
Cutting a Mobius Strip (Visual): https://www.youtube.com/watch?v=XlQOipIVFPk
Group Theory Lectures: https://www.youtube.com/watch?v=O4plQ5ppg9c&index=1&list=PLAvgI3H-gclb_Xy7eTIXkkKt3KlV6gk9_
Chaos Theory Lectures: https://www.youtube.com/watch?v=ycJEoqmQvwg&index=1&list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V
Geodesics Animation: https://www.youtube.com/watch?v=Wl8--BsbNnA
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Most of the mathematicians that this video talks about had been dead for a long time, but their ideas are very much alive today. Knowing the contributions of th...
Most of the mathematicians that this video talks about had been dead for a long time, but their ideas are very much alive today. Knowing the contributions of these mathematicians to our present day mathematics leads us to a greater appreciation of their legacy to us. These mathematicians are interesting people and they made mathematics interesting.
Most of the mathematicians that this video talks about had been dead for a long time, but their ideas are very much alive today. Knowing the contributions of these mathematicians to our present day mathematics leads us to a greater appreciation of their legacy to us. These mathematicians are interesting people and they made mathematics interesting.
BBC The Story of Maths. The language of the universe from the BBC.
A documentary with subtitles. Episode 01
Acquainted with the fundamental mathematics in our...
BBC The Story of Maths. The language of the universe from the BBC.
A documentary with subtitles. Episode 01
Acquainted with the fundamental mathematics in our lives, Marcus du Sauto explores the mathematics of Ancient Egypt, Mesopotamia and Greece.
In Egypt, he discloses the use of a decimal system based on ten fingers, while in the former Mesopotamia, two arms were counted to 60.
In Greece, he considers the contributions of some of the giants of mathematics, including Plato, Euclid, Archimedes, and Pythagoras, who are credited with starting the transformation of mathematics from a tool for counting into an analytical subject that we know today.
Chronology of the history of mathematics:
1:32 - The first signs of mathematics can be found in ancient Egypt
8:34 - Egypt: papyrus help and practical mathematics
11:41 - Egypt: Circles, the game of Mankala and Pi.
14:06 - Egypt: Pyramids - wonders of the world, symmetry and the golden ratio
19:38 - Babylon: mathematics is a school.
21:44 - Babylon: calculation on the fingers - a six-decimal number system.
25:19 - Babylon: The Babylonian calendar and zero.
27:05 - Babylon: quadratic equations for agriculture.
29:24 - Babylon: Passionate Players - Playful Math
31:26 - Babylon: The Babylonians are the discoverers of a right triangle.
35:30 - Mesopotamia: Greeks and the power of evidence.
37:25 - Greece: Pythagoras and his famous theorem.
43:01 - Greece: Plato Academy.
45:37 - Alexandria: Euclid and his axioms of mathematics.
49:23 - Alexandria: Archimedes and the discovery of the meaning of Pi.
52:59 - Alexandria: Hypatia is an inventive female mathematician and a tragic victim.
#math #history #bbc #language #universe #documentary
BBC The Story of Maths. The language of the universe from the BBC.
A documentary with subtitles. Episode 01
Acquainted with the fundamental mathematics in our lives, Marcus du Sauto explores the mathematics of Ancient Egypt, Mesopotamia and Greece.
In Egypt, he discloses the use of a decimal system based on ten fingers, while in the former Mesopotamia, two arms were counted to 60.
In Greece, he considers the contributions of some of the giants of mathematics, including Plato, Euclid, Archimedes, and Pythagoras, who are credited with starting the transformation of mathematics from a tool for counting into an analytical subject that we know today.
Chronology of the history of mathematics:
1:32 - The first signs of mathematics can be found in ancient Egypt
8:34 - Egypt: papyrus help and practical mathematics
11:41 - Egypt: Circles, the game of Mankala and Pi.
14:06 - Egypt: Pyramids - wonders of the world, symmetry and the golden ratio
19:38 - Babylon: mathematics is a school.
21:44 - Babylon: calculation on the fingers - a six-decimal number system.
25:19 - Babylon: The Babylonian calendar and zero.
27:05 - Babylon: quadratic equations for agriculture.
29:24 - Babylon: Passionate Players - Playful Math
31:26 - Babylon: The Babylonians are the discoverers of a right triangle.
35:30 - Mesopotamia: Greeks and the power of evidence.
37:25 - Greece: Pythagoras and his famous theorem.
43:01 - Greece: Plato Academy.
45:37 - Alexandria: Euclid and his axioms of mathematics.
49:23 - Alexandria: Archimedes and the discovery of the meaning of Pi.
52:59 - Alexandria: Hypatia is an inventive female mathematician and a tragic victim.
#math #history #bbc #language #universe #documentary
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topi...
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.
#mathematics #DomainOfScience
If you would like to buy a poster of this map, they are available here:
North America: https://store.dftba.com/products/map-of-mathematics-poster
Everywhere else: http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics
French version: https://www.redbubble.com/people/dominicwalliman/works/40572671-the-map-of-mathematics-french-version?asc=u
Spanish Version: https://www.redbubble.com/people/dominicwalliman/works/40572693-the-map-of-mathematics-spanish-version?asc=u
I have also made a version available for educational use which you can find here: https://www.flickr.com/photos/95869671@N08/32264483720/in/dateposted-public/
To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!
1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).
2. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent / hypotenuse.
3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect.
4. I said that the Gödel Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it: https://youtu.be/O4ndIDcDSGc
5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done.
Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but I’m not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. https://www.patreon.com/domainofscience
Here are links to some of the sources I used in this video.
Links:
Summary of mathematics: https://en.wikipedia.org/wiki/Mathematics
Earliest human counting: http://mathtimeline.weebly.com/early-human-counting-tools.html
First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/27853-who-invented-zero.html
First use of negative numbers: https://www.quora.com/Who-is-the-inventor-of-negative-numbers
Renaissance science: https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance
History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathematics
Proof that pi is irrational: https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-number
and https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof
Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in 16 languages. Links are below or just search for Professor Astro Cat. They are fun children's books aimed at the age range 7-12. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby.
Frontiers of Space: http://nobrow.net/shop/professor-astro-cats-frontiers-of-space/
Atomic Adventure: http://nobrow.net/shop/professor-astro-cats-atomic-adventure/
Intergalactic Activity Book: http://nobrow.net/shop/professor-astro-cats-intergalactic-activity-book/
Solar System App: http://www.minilabstudios.com/apps/professor-astro-cats-solar-system/
Find me on twitter, instagram, and my website:
http://dominicwalliman.com
https://twitter.com/DominicWalliman
https://www.instagram.com/dominicwalliman
https://www.facebook.com/dominicwalliman
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.
#mathematics #DomainOfScience
If you would like to buy a poster of this map, they are available here:
North America: https://store.dftba.com/products/map-of-mathematics-poster
Everywhere else: http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics
French version: https://www.redbubble.com/people/dominicwalliman/works/40572671-the-map-of-mathematics-french-version?asc=u
Spanish Version: https://www.redbubble.com/people/dominicwalliman/works/40572693-the-map-of-mathematics-spanish-version?asc=u
I have also made a version available for educational use which you can find here: https://www.flickr.com/photos/95869671@N08/32264483720/in/dateposted-public/
To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!
1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).
2. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent / hypotenuse.
3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect.
4. I said that the Gödel Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it: https://youtu.be/O4ndIDcDSGc
5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done.
Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but I’m not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. https://www.patreon.com/domainofscience
Here are links to some of the sources I used in this video.
Links:
Summary of mathematics: https://en.wikipedia.org/wiki/Mathematics
Earliest human counting: http://mathtimeline.weebly.com/early-human-counting-tools.html
First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/27853-who-invented-zero.html
First use of negative numbers: https://www.quora.com/Who-is-the-inventor-of-negative-numbers
Renaissance science: https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance
History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathematics
Proof that pi is irrational: https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-number
and https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof
Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in 16 languages. Links are below or just search for Professor Astro Cat. They are fun children's books aimed at the age range 7-12. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby.
Frontiers of Space: http://nobrow.net/shop/professor-astro-cats-frontiers-of-space/
Atomic Adventure: http://nobrow.net/shop/professor-astro-cats-atomic-adventure/
Intergalactic Activity Book: http://nobrow.net/shop/professor-astro-cats-intergalactic-activity-book/
Solar System App: http://www.minilabstudios.com/apps/professor-astro-cats-solar-system/
Find me on twitter, instagram, and my website:
http://dominicwalliman.com
https://twitter.com/DominicWalliman
https://www.instagram.com/dominicwalliman
https://www.facebook.com/dominicwalliman
It is pretty hard to understand the intelligence of major mathematical innovations. On the one hand they often seem as isolated sparks of wisdom although in fac...
It is pretty hard to understand the intelligence of major mathematical innovations. On the one hand they often seem as isolated sparks of wisdom although in fact they are the conclusion of work by various, often less able, mathematicians over a long period.
We view the history of mathematics from our own position of understanding and difficulty. There can be no other way but yet we have to try to appreciate the change among our viewpoint and that of mathematicians centuries ago. Often the way mathematics is taught today makes it harder to know the problems of the past.
It is pretty hard to understand the intelligence of major mathematical innovations. On the one hand they often seem as isolated sparks of wisdom although in fact they are the conclusion of work by various, often less able, mathematicians over a long period.
We view the history of mathematics from our own position of understanding and difficulty. There can be no other way but yet we have to try to appreciate the change among our viewpoint and that of mathematicians centuries ago. Often the way mathematics is taught today makes it harder to know the problems of the past.
Explore some of the most famous arguments in the ancient debate: is math a human construct or part of the fabric of the universe?
--
Would mathematics exist i...
Explore some of the most famous arguments in the ancient debate: is math a human construct or part of the fabric of the universe?
--
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
Lesson by Jeff Dekofsky, animation by The Tremendousness Collective.
Sign up for our newsletter: http://bit.ly/TEDEdNewsletter
Support us on Patreon: http://bit.ly/TEDEdPatreon
Follow us on Facebook: http://bit.ly/TEDEdFacebook
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View full lesson: http://ed.ted.com/lessons/is-math-discovered-or-invented-jeff-dekofsky
Explore some of the most famous arguments in the ancient debate: is math a human construct or part of the fabric of the universe?
--
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
Lesson by Jeff Dekofsky, animation by The Tremendousness Collective.
Sign up for our newsletter: http://bit.ly/TEDEdNewsletter
Support us on Patreon: http://bit.ly/TEDEdPatreon
Follow us on Facebook: http://bit.ly/TEDEdFacebook
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Versión en español de este video: https://www.youtube.com/watch?v=Jt30nstd_Sc
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Turning a Sphere Inside Out: https://www.youtube.com/watch?v=-6g3ZcmjJ7k
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Chaos Theory Lectures: https://www.youtube.com/watch?v=ycJEoqmQvwg&index=1&list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V
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Most of the mathematicians that this video talks about had been dead for a long time, but their ideas are very much alive today. Knowing the contributions of these mathematicians to our present day mathematics leads us to a greater appreciation of their legacy to us. These mathematicians are interesting people and they made mathematics interesting.
BBC The Story of Maths. The language of the universe from the BBC.
A documentary with subtitles. Episode 01
Acquainted with the fundamental mathematics in our lives, Marcus du Sauto explores the mathematics of Ancient Egypt, Mesopotamia and Greece.
In Egypt, he discloses the use of a decimal system based on ten fingers, while in the former Mesopotamia, two arms were counted to 60.
In Greece, he considers the contributions of some of the giants of mathematics, including Plato, Euclid, Archimedes, and Pythagoras, who are credited with starting the transformation of mathematics from a tool for counting into an analytical subject that we know today.
Chronology of the history of mathematics:
1:32 - The first signs of mathematics can be found in ancient Egypt
8:34 - Egypt: papyrus help and practical mathematics
11:41 - Egypt: Circles, the game of Mankala and Pi.
14:06 - Egypt: Pyramids - wonders of the world, symmetry and the golden ratio
19:38 - Babylon: mathematics is a school.
21:44 - Babylon: calculation on the fingers - a six-decimal number system.
25:19 - Babylon: The Babylonian calendar and zero.
27:05 - Babylon: quadratic equations for agriculture.
29:24 - Babylon: Passionate Players - Playful Math
31:26 - Babylon: The Babylonians are the discoverers of a right triangle.
35:30 - Mesopotamia: Greeks and the power of evidence.
37:25 - Greece: Pythagoras and his famous theorem.
43:01 - Greece: Plato Academy.
45:37 - Alexandria: Euclid and his axioms of mathematics.
49:23 - Alexandria: Archimedes and the discovery of the meaning of Pi.
52:59 - Alexandria: Hypatia is an inventive female mathematician and a tragic victim.
#math #history #bbc #language #universe #documentary
The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.
#mathematics #DomainOfScience
If you would like to buy a poster of this map, they are available here:
North America: https://store.dftba.com/products/map-of-mathematics-poster
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French version: https://www.redbubble.com/people/dominicwalliman/works/40572671-the-map-of-mathematics-french-version?asc=u
Spanish Version: https://www.redbubble.com/people/dominicwalliman/works/40572693-the-map-of-mathematics-spanish-version?asc=u
I have also made a version available for educational use which you can find here: https://www.flickr.com/photos/95869671@N08/32264483720/in/dateposted-public/
To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!
1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).
2. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent / hypotenuse.
3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect.
4. I said that the Gödel Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it: https://youtu.be/O4ndIDcDSGc
5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done.
Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but I’m not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. https://www.patreon.com/domainofscience
Here are links to some of the sources I used in this video.
Links:
Summary of mathematics: https://en.wikipedia.org/wiki/Mathematics
Earliest human counting: http://mathtimeline.weebly.com/early-human-counting-tools.html
First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/27853-who-invented-zero.html
First use of negative numbers: https://www.quora.com/Who-is-the-inventor-of-negative-numbers
Renaissance science: https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance
History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathematics
Proof that pi is irrational: https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-number
and https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof
Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in 16 languages. Links are below or just search for Professor Astro Cat. They are fun children's books aimed at the age range 7-12. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby.
Frontiers of Space: http://nobrow.net/shop/professor-astro-cats-frontiers-of-space/
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It is pretty hard to understand the intelligence of major mathematical innovations. On the one hand they often seem as isolated sparks of wisdom although in fact they are the conclusion of work by various, often less able, mathematicians over a long period.
We view the history of mathematics from our own position of understanding and difficulty. There can be no other way but yet we have to try to appreciate the change among our viewpoint and that of mathematicians centuries ago. Often the way mathematics is taught today makes it harder to know the problems of the past.
Explore some of the most famous arguments in the ancient debate: is math a human construct or part of the fabric of the universe?
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Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
Lesson by Jeff Dekofsky, animation by The Tremendousness Collective.
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The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.
Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. The most ancient mathematical texts available are Plimpton 322 (Babylonian c. 1900 BC), the Rhind Mathematical Papyrus (Egyptian c. 2000-1800 BC) and the Moscow Mathematical Papyrus (Egyptian c. 1890 BC). All of these texts concern the so-called Pythagorean theorem, which seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry.
The study of mathematics as a demonstrative discipline begins in the 6th century BC with the Pythagoreans, who coined the term "mathematics" from the ancient Greek μάθημα (mathema), meaning "subject of instruction".Greek mathematics greatly refined the methods (especially through the introduction of deductive reasoning and mathematical rigor in proofs) and expanded the subject matter of mathematics.Chinese mathematics made early contributions, including a place value system. The Hindu-Arabic numeral system and the rules for the use of its operations, in use throughout the world today, likely evolved over the course of the first millennium AD in India and were transmitted to the west via Islamic mathematics through the work of Muḥammad ibn Mūsā al-Khwārizmī.Islamic mathematics, in turn, developed and expanded the mathematics known to these civilizations. Many Greek and Arabic texts on mathematics were then translated into Latin, which led to further development of mathematics in medieval Europe.