## IC16: How To Bake Pi

Video in TIB AV-Portal: IC16: How To Bake Pi

 Title IC16: How To Bake Pi Title of Series Imaginary Conference 2016 Part Number 26 Number of Parts 16 Author License CC Attribution 3.0 Germany:You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. Identifiers 10.5446/33846 (DOI) Publisher Release Date 2016 Language English

 Subject Area Mathematics Abstract Mathematics can be tasty! It’s a way of thinking, and not just about numbers. Through unexpectedly connected examples from music, juggling, and baking, I will show that maths can be made fun and intriguing for all, through hands-on activities, examples that everyone can relate to, and funny stories. I‘ll present surprisingly high-level mathematics, including some advanced abstract algebra usually only seen by math majors and graduate students. There will be a distinct emphasis on edible examples.
Point (geometry) Mathematics Different (Kate Ryan album) Algebraic structure Mass Nichtlineares Gleichungssystem Mereology Connected space
Mathematics Process (computing) Observational study Logic Different (Kate Ryan album) Multiplication sign Order (biology) Mass Numerical analysis Condition number
Different (Kate Ryan album) Algebraic structure Mass Musical ensemble Mereology Resultant
Group action Building Process (computing) Theory of relativity Observational study Block (periodic table) Multiplication sign Independence (probability theory) Algebraic structure Line (geometry) Mass Student's t-test Limit (category theory) Mereology Mathematics Goodness of fit Order (biology) Chromosomal crossover Musical ensemble
Axiom of choice Greatest element State of matter Multiplication sign 1 (number) Mereology Mathematical structure Group representation Mathematics Roundness (object) Many-sorted logic Different (Kate Ryan album) Oval Arrow of time Körper <Algebra> Algebra Position operator Rotation Process (computing) Block (periodic table) Connected space Category of being Angle Order (biology) Right angle Lipschitz-Stetigkeit Mathematician Multiplication table Imaginary number Point (geometry) Divisor Observational study Parity (mathematics) Real number Student's t-test Mass Rule of inference Graph coloring Event horizon Theory Pentagon Causality Energy level Nichtlineares Gleichungssystem Curve fitting Condition number Platonic solid Addition Matching (graph theory) Weight Algebraic structure Line (geometry) Braid Cartesian coordinate system Numerical analysis Logic Network topology Cube Vertex (graph theory) Faktorenanalyse Mathematical object Iteration Musical ensemble Family
Greatest element Group action Block (periodic table) Multiplication sign Polynomring Algebraic structure Routing Student's t-test Mass Proof theory Mathematics Root Different (Kate Ryan album) Order (biology) Number theory Integer Right angle
Randomization Group action Sine Multiplication sign Mass Student's t-test Inverse element Mereology Dimensional analysis Theory Element (mathematics) Pentagon Mathematics Conjugacy class Many-sorted logic Different (Kate Ryan album) Square number Extension (kinesiology) Social class Dependent and independent variables Shift operator Cartesian coordinate system Category of being Network topology Cycle (graph theory) Object (grammar)
but even in the air and and thank you thank you very much with but so I'd like to thank the organisers for inviting me to come in and talk to you about abstract mathematics and my experience of making abstract mathematics more palatable to people who use she afraid of math and I understand why people are afraid of math because the the weights toward because of their experiences when they're young and I also found on in Europe I should say that I have also I also found math rather boring in school but I always knew there was something more beautiful out there waiting for me partly because my mother showed me the most beautiful and pull parts of mass so I believed that it was there the heart of trained myself this enough the so I'm going to show you some of my favorite abstract structures that appear all around us because I think that math is not about doing calculations or about doing equations or even about solving problems it's about as interested in in making connections between things and the point about abstraction is that if you lead into a slightly more abstract wealth than your further away from normal life but you make connections between lots of things that previously seemed to be unrelated and that a whole different kind of light on things so 1st of all what I tend to do is and this is why I wrote this book I want to persuade people that map is not the thing that they necessarily thought it was so
I think that mass is the study of how things work and it's not the study of how many things work it's the study of how logical things work and it's not any old study of how logical things work it's the logical study of how logical things were and the trouble with that is that nothing actually don't behave logic I don't behave logically you behave logically the computer doesn't behave logically nothing behaves logically so in order to get anything to behave logically you have to forget the pesky details that prevent things from behaving illogically and that the process of abstraction where you forget the details and I love forget some details and in the process of getting those details you do things like well what went on another on makes 2 honors and 1 monkey and the monkey makes 2 monkeys and you know that really matter that that was a ban on all that it was a monkey 1 thing and another thing makes 2 things and so you might well call that 1 and 1 equals 2 and that's already is abstraction everyone performs when they 1st start thinking about numbers and usually every time you go through another abstraction some people that get full and a lot of people said no as by
with mass until numbers turned into X and Y and that's an abstraction and the thing is that that usually people often shown abstractness is just some weird thing that you're doing for no particular reason rather than an amazing way of making things easier and the secret is that conditions are mostly very lazy I'm definitely lazy and the reason I like is it means I can think about a lot of different things at the same time which saves
the effort rather than having to think about and lots of different things so I would like to show you some of my favorite abstract structures and shows some perhaps unexpected ways in which they're related so I'm going to start by playing you 1 of my favorite pieces of music which is the 2nd g minus the boss prelude in G minor from the 2nd book of proteins and future there is a huge quantity of mass in and I'm not going to say any of that I'm going to say this about what the at the question of the moon and the US and a 2 room and you will be in the room and the and the and the and the way we do in
the room and the new and the old of the a new world and you can do and in the in the in the room and you know you and you can the thing that you have to do with it and as a result of the of the of the of the of the of the and the and the and the and the other part of the and the and the the the the the the the
the the the the the the a lot of people in the world and of the few you don't have to be able to play the piano to appreciate a piece of music and you don't have to be able to cook in order to be able to appreciate food and I believe you don't have to do that in order to be of appreciating that and IT t to the school of the art institute in Chicago where I teach our students and my aim is to get appreciate why there and what it's doing even if they're not going to go out into the world and use mass in their job they already PhD's in that they made engaged in something else but usually people but they all at some point in that they get reach their limits in mass testament Anderson warning NORAD and yet there's so much that to be appreciated now in the block wrote it as politically like a lot of the pieces roads which means that our full independent lines of music that wide and their way around each other and the first 1 starts at the top like this on our group and so you can play each 1 independently and when I 1st study this piece I found it very confusing and I felt like I couldn't follow where the parts were going so I drew a picture of it and the picture came out like this and this picture is a very extreme abstracts of the piece of music in which I have forgotten almost every detail about it apart from where every line of music is in relation to the other lines of music so this is the abstract structure of the peace and exhibiting this abstract structure made me understand why it I didn't understand it because the crossover each other and they don't come back again so this this black 1 which starts the top is the soprano but ends up as the tenor and the base starts as a base that creeps up and ends up as the outer and so be very difficult to get for people to sing this because they will have to be of the same old parts which people can't you do the said finding the abstract structure the piece I believe helps me play better even though in order to listen to the piece you don't have to see that structure in order to listen and enjoy the music just like it's a good thing someone knows whether structural walls in this building on but we don't have to know whether structural walls or in order to use the building and that's what's going on with math all the time it's that whether you know it's there or not and the more that you understand about how things well 1st of all isn't it nice to understand things better just that is secondly enables you to use it better make it work better and then maybe change it and invent something new for yourself and I believe in presenting
masses something where everybody can have a go invented something new just like with cooking which is why I talk about the a lot in my book because really matters about taking a bunch of ingredients which happened to be ideas doing something with them and seeing what happens and too often we impose on students the notion that they have to get the right answer instead of getting an answer they feel like as long as they have a big