Production By Dj Premier....]]>

If you would like to buy a poster of this map, they are available here: http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics

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.

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

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https://www.facebook.com/dominicwalliman]]>

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Aired on 15 Apr 2015, on PBS network's NOVA program series, this is a collector's item!]]>

Jonathan Matte has been teaching Mathematics for 20 years, the last 13 at Greens Farms Academy. Formerly the Mathematics Department Chair, he is currently the 12th Grade Dean and Coach of the GFA Math Team and the CT State Champion Quiz Team. A former Jeopardy! contestant, Jon's outside-of-the classroom passions lie in the world of puzzles and games, both as a competitor (in the American Crossword Puzzle Tournament and the World Puzzle Championships, among others) and a creator (orchestrating the long-running GFA Puzzle Hunt and crafting puzzles that have made their way into GAMES Magazine).

In the spirit of ideas worth spreading, TEDx is a program of local, self-organized events that bring people together to share a TED-like experience. At a TEDx event, TEDTalks video and live speakers combine to spark deep discussion and connection in a small group. These local, self-organized events are branded TEDx, where x = independently organized TED event. The TED Conference provides general guidance for the TEDx program, but individual TEDx events are self-organized.* (*Subject to certain rules and regulations)]]>

For Full Video - https://www.youtube.com/watch?v=4z4gISBuDVU

Some other useful links about why people are bad at maths-

http://www.telegraph.co.uk/education/educationnews/8693105/People-are-born-bad-at-maths.html

http://www.theguardian.com/commentisfree/2015/apr/29/people-hate-maths-my-plan-make-it-work-for-them

https://www.quora.com/Why-do-people-find-mathematics-difficult

http://healthland.time.com/2011/08/11/study-people-may-be-born-good-or-bad-at-math/]]>

What are numbers? What is mathematics actually about? Is it something discovered or is it something constructed by the mind? From the time of Plato onward, people have regarded mathematical truth as an ideal. Unlike ordinary, empirical truth, mathematical truth seems necessary, eternal, incorrigible, and absolutely certain. This talk considers some of the ways in which philosophers have tried to account for the special nature of mathematical truth.

Ray Monk is a British philosopher well known for his writings on Wittgenstein, Bertrand Russell, and the physicist J. Robert Oppenheimer. This talk is part of the Philosophy Cafe series given at the University of Southampton.]]>

We begin with the question “Who invented Calculus?” Next, we talk about the two main tools you’ll study: derivatives and integrals. To understand both of these you’ll first learn about limits. After you learn how to compute the derivative and integral for basic functions and apply them to real-world problems, you’ll move up to higher dimensions and study things like “partial derivatives” and “multiple integrals.”

**************

If you would like to help us make new videos, you can support us through Patreon at https://www.patreon.com/socratica

We also welcome Bitcoin donations! Our Bitcoin address is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9

Thank you!!

*******

Written and Produced by Michael Harrison

Michael Harrison received his BS in math from Caltech, and his MS from the University of Washington where he studied algebraic number theory. After teaching math for a few years, Michael worked in finance both as a developer and a quantitative analyst (quant). He then worked at Google for over 5 years before leaving to found Socratica.

You can follow Michael on Twitter @mlh496

*******

You can also follow Socratica on:

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Math wiz by Vivek Prasad Mada, Speed Math Genius]]>

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Original Program Date: June 3, 2011

MODERATOR: Robert Krulwich

PARTICIPANTS: Jonathan Borwein, Keith Devlin, Marcus du Sautoy, Simon Singh

Welcome to the Mathematical Universe. 00:13

Participant Introductions. 01:50

What about math got you interested in the subject? 04:07

Is math an instinct in humans? 10:20

When in history did the number come into existence? 15:22

Math was key to ancient survival. 20:27

1+1=0 Adding in binary. 25:59

Why are some people better at math than others? 26:55

Nontransitive dice game. 33:44

What's the best story about math... Infinite primes? 38:05

Do all math problems have an answer? 44:33

The computer replacing the mathematician? 54:40

Can we mathematically understand the universe we are in without seeing it? 58:48

Perfect Rigour and Grigori Perelman solved the Poincare Conjecture 01:03:10

If you have determination math is easy. 01:09:09

Mathematics is hierarchical and you need to start from the beginning. 01:13:07]]>

Our world doesn't just have some mathematical properties: it fundamentally has only mathematical properties.

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Why is mathematics so spectacularly successful at describing the cosmos? In this Ri talk, MIT physics professor Max Tegmark proposes a radical idea: that our physical world is not only described by mathematics, but that it is mathematics. He shows how this theory may provide answers to the nature of reality itself.

This event was filmed at the Royal Institution on January 30 2014.

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Kit Yates is a lecturer in Mathematical Biology at the University of Bath and a popular science writer. Kit’s research has demonstrated, unexpectedly, that mathematics can be used to describe all sorts of phenomena from embryo formation to locust swarming and from sleeping sickness to egg-shell patterning. He is particularly interested in the role that randomness plays in Biology. He completed his PhD in Mathematics at the University of Oxford in 2011.

His research into Mathematical Biology has been covered by the BBC, the Guardian, the Telegraph, the Mail, RTE and Reuters amongst others. Independently, his writing about the enjoyment and ubiquity of Mathematics has appeared in the Times, the i, the Independent, the Mail, and popular science publications such as Scientific American and IFLscience. He has also made appearances on the BBC’s Bang Goes the Theory and even on Watchdog! Kit has also set real-world-based mathematical puzzles which have appeared in a range of newspapers, on tube adverts, on the radio and on Dara O’Briain’s School of Hard Sums. You can find out more about Kit’s research and science communication on his website - http://kityates.com/

This talk was given at a TEDx event using the TED conference format but independently organized by a local community. Learn more at http://ted.com/tedx]]>

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Popular Mathematics: Quaker Oats Guy + Supercuts = Mike Pence

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Often called the "birthplace of civilisation", Ancient Greece heralded numerous advances in philosophy, science, sport and also mathematics. Over six centuries from 600 BC a group of revolutionary thinkers -- from Thales, Pythagoras, Democritus and Aristotle to Euclid, Archimedes and Hypatia of Alexandria -- formalised the rules and language of modern mathematics.

For Greek thinkers, maths wasn't simply a means of calculating amounts but a way of testing reality and understanding the true nature of the world around them. Indeed, Pythagoras is believed to have coined both the words "philosophy" ("love of wisdom") and "mathematics" ("that which is learned"). In turn, Euclid came to be known as the "father of geometry".

At the heart of this new understanding, was the concept of "the proof", developed by Euclid in what is commonly regarded as the most important and successful mathematical textbook of all time -- the "Stoicheion" or "Elements". Built upon the axiomatic method, mathematical proofs were a way of testing assumptions by building up a mathematical argument using self-evident or assumed statements (or, "axioms").

It is this methodology that formed the foundational language and logic of modern mathematics throughout the world. Indeed, Euclid's Elements was widely used as the seminal maths textbook right up until the start of the twentieth century.

Many thanks to James Grime for his expert help on the script and recording the voice-over. Follow him @jamesgrime or find out more at http://singingbanana.com.

Thanks also to the wonderful 12foot6 and Phoebe Halstead for bringing our ideas to life in animated form: http://12foot6.com. Music by Bedřich Smetana: Má Vlast Moldau

This film was made with the generous support of the Stavros Niarchos Foundation http://www.snf.org

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