Welcome to the Institute of Mathematics and its Applications (IMA) blog. The IMA is the UK's learned and professional society for mathematics and its applications. We promote mathematics research, education and careers, and the use of mathematics in business, industry and commerce. Among our activities we produce academic journals, organise conferences and engage with government.

In this blog we will publish mathematical articles and news to reflect the interests of our members who come from a multiplicity of different organisations including university academics, industrial mathematicians, financiers, school teachers, scientists, civil servants etc.

Saturday, 10 September 2011

British Science Association 2011

The British Science Association has a long tradition going back to 1831, when it was founded as the British Association for the Advancement of Science to:
give a stronger impulse and a more systematic direction to scientific inquiry; to promote the intercourse of those who cultivate Science in different parts of the British Empire with one another and with foreign philosophers; to obtain more general attention for the objects of Science and the removal of any disadvantages of a public kind that may impede its progress.
According to the British Science Association history website, from which that quote was taken, the early annual meetings included the coining of the word 'scientist' and the first demonstration of wireless transmission.

Today the annual meeting is called the British Science Festival and this is one of Europe's largest science festivals. The 2011 meeting is being held from today until Thursday 15th September in Bradford and is well worth a visit.

The IMA website has more about the British Science Festival and a downloadable Mathematical Sciences Programme of Events. The mathematical sciences programme includes talks on statistics in sport, maths magic, maths of waves, prime number sequences and the impact of maths on science and culture, as well as a chance to catch the maths and stats buskers.

Thursday, 1 September 2011

Inspiration

I've been thinking for some time about what to write in a post on this blog, only I didn't really know what to say.

So I thought I would tell you a little story about how I was inspired by DrMaths (Steve Humble) to do some maths on my fridge last Friday after work.

Steve has been tweeting number facts as @DrMaths for some time and last Friday's was
If you square 1, 5 and 6 you get 62. There are three different numbers you can square to get 62! Its the smallest number with this property
By which I thought he meant there were three sets of three numbers that when squared would add up to 62.

Almost immediately I figured out in my head that 2^2+3^2+7^2=62, but for the life of me I couldn't work out another way.

So I got out my board marker and sat on my kitchen floor and started doing maths on my fridge. You can see photographic evidence of the results below. I am certain that I've proved (by brute force) that there are only 2 ways to this answer and the smallest number with three sets of three summed square numbers is 101.

I wish to add here that DrMaths did clarify in a later tweet to someone who asked about it
too few words used badly! "two distinct squares"
I then went a bit further and started working out prime numbers and decided that 1^2+2^2+6^2=41 is the smallest one of these "sum of 3 squares" numbers that is prime. I then wondered which would be the smallest prime that had two distinct sums. It seems the answer is 89.

While of course 101 is both the smallest integer and the smallest prime number with three distinct sums of this form.




Wednesday, 3 August 2011

July - gone but not forgotten!

Well, it seems like we missed out the month of July on the IMA blog, but alas the work and activities of the IMA were still very much ongoing. Infact, new territory was covered...

...with the 1st IMA Online Branch Talk, which took place on 21st July!

An introduction and a short article depicting the idea behind this can be seen on the IMA website.

The recording of 'An interactive talk on mathematical puzzles, given by Peter Rowlett, can be seen below:



At the end we asked for feedback and were pleased that people took the time to do this. We were also pleased with what people said about the event, with comments like: 

This was a great idea and the connection was really good, too. It's a great way of getting a group of people who are spread out geographically to meet interactively. Great Stuff!

I am especially happy that this talk was online and didn't require travel as I'm not very well and I could still attend and have fun.

We are now looking to arrange more such talks, and will post details of them when they are finialised.

Wednesday, 29 June 2011

Favourite numbers, and other nonsense

Alex Bellos is asking people for their favourite numbers. This is an international survey in which people are asked whether they have a favourite number or not and, if they do, the reasons for their choice, plus, optionally, a few minor demographic details. Alex is getting some press for this, with recent appearances on the Today programme and other radio programmes.

On the Math/Maths Podcast recently, Samuel Hansen and I had a chat with James Grime and Samuel spoke with Alex Bellos about favourite numbers. These items caused Christian Perfect to get in touch and he joined us on the most recent episode to give, in his words, a robust defence of having a favourite number. At the recent Maths in the City awards event Christian had asked Marcus du Sautoy what his favourite number was and he said he didn't have one until the press kept asking him for his. This led us into a discussion about the media. I find it irritating that a radio presenter has a mathematician on their show and feels "what is your favourite number?" is an appropriate question. I regard it as silly. Christian said he didn't think it was a silly question because people have favourite all-sorts-of-things. Samuel said, while it was a silly question, he felt it was a decent opening question from someone who didn't understand mathematics. What do you think? I hope you will give your view in the comments below this post.

Part of what I worry about is the proximity of this sort of question to asking mathematicians on the spot questions like, "what is 33 squared?" I feel this has very little to do with mathematics and should be discouraged. Recently I took a puzzles stall to a local science fair and someone commented that one of the puzzles was "proper maths" because it involved numbers. I said I had specifically avoided puzzles that involved arithmetic because there's so much more to mathematics than that.

Next, I saw Christian was speaking on Twitter with Edmund Harriss about a recent blog post Edmund had written on imparting meaning to numbers. In this, Edmund gives a defence of numerology, writing of it as a game which allows space for creativity, one that may mean you accidentally stumble on something meaningful. (Go and read what Edmund says. I'll wait.) I don't disagree with what Edmund says but positive effects and harmless fun aren't my problem with numerology.

I probably don't need to say on a mathematical blog but I don't believe in numerology. This is the process of extracting a number from some context, through some seemingly arbitrary calculation, and then assigning meaning to that number in an attempt to understand the context or make a prediction (perhaps from some cosmic ordering of the universe). I'm tempted to feel that while it is having a positive effect and sometimes even encouraging people to feel better about their lives it's probably tolerable. It isn't hurting anyone. Often, though, the negative consequences seem like to lead to unhappiness or financial loss. Your name derives a particular number? Well then you're in for a cruel fate, or are destined to be a terrible person. Not that you can help what you are called (advice I have read for making these 'calculations' has it that it is only the name on your birth certificate that counts). If you made this calculation and took seriously that you were destined to be denied happiness, prone to addiction or compelled to violence, I can only imagine what this must do to a person. There are other such negative effects. The stock market closed at a value with particular digits? A huge crash must be coming and you should sell your shares immediately, no matter the loss. This is your birth date? Then your true sole mate will have this birth date, and since this isn't the birthday of your current girlfriend, you'd better leave her. (You're happy being with her? Well that isn't really the point.)

Another aspect, I worry, is the possibility of engagement with this sort of thinking contributing to others sorts of poor numerical thinking skills. If numbers have this mystical property, people may find them mystifying. "Three times as likely", you say? That's very likely then! "95% certain to happen", there's no way that won't happen; but a 1 in 20 chance of winning, wow, that could be me! And so on. I worry that being loose with the meaning assigned to numbers in different contexts, even in a meaningless and harmless way, may lead to being loose with numbers in other, more damaging contexts. As Edmund points out, we should play with numbers and not be afraid of them but if we assign meaning to a numerical measure we must remember that meaning when playing and take care when comparing numbers from different contexts.

So, do I think Alex's experiment is silly and should be avoided? Well, no. I think his is an interesting experiment precisely for the reasons he is carrying it out. Not to determine if there is some great cosmic significance in numerical ordering, but as a sociological experiment to investigate the cultural effects of our relationship with meaningless numbers. So go, now, and fill out the survey. It genuinely will only take a minute and you are contributing to an interesting experiment.


Please share your thoughts about this post by clicking on the comments option below.
Peter Rowlett blogs at Travels in a Mathematical World.

Friday, 17 June 2011

Facebook: London University Maths Societies - IMA





Some time ago Peter Rowlett and I set up an IMA presence on Facebook called London University Maths Societies - IMA. The purpose of this page is to publicise mathematical events and meetings happening in the London area that are of interest to London based maths students. An added benefit is that it enables maths students from different universities to network and thus gain support /ideas for Maths Society activities.

We now have a new volunteer who has agreed to take over the administration of this page. James Howe will be graduating from the University of Greenwich this year and is hoping to take up a place on a Masters course in Cryptography at Royal Holloway. He has agreed to update the page regularly.

Please advertise this page to anyone involved in a London University Maths Society. People can email me (n.bradshaw@gre.ac.uk) if they want an event publicised and I will forward these to James.

Friday, 10 June 2011

100 and counting in the land of Twitter

I'm sure you will have seen that the IMA has a Twitter account (http://twitter.com/IMAmaths). Well today it celebrated its 100th Tweet!

The twitter feed has been used as a mechanism to quickly let people know of many things: 

to highlight some maths:

Interesting Maths: 130 is the only integer that is the sum of its first four divisors squared: 1^2 + 2^2 + 5^2 + 10^2 = 130. RT

to highlight mathematics that will be of interest to an event in the coming year:

Can we predict how many medals the UK might win in 2012, and is hosting the Olympics an advantage? RT  

to highlight that people want to know what YOUR favourite number is:

Almost 5000 entries so far in favourite number survey. If you haven't voted yet, please do: RT @alexbellos

to highlight IMA branch events:

Two branch talks coming up. Mon 21st Delineating a Sundial in Bath and Wed 23rd The Golden Section by Richard Simpson in Leicester.

to highlight IMA council events:

IMA Councillors are gathering in Birmingham for the Strategy Review weekend. Loads to discuss!

to highlight that others have talked about work of the IMA: 

There's great ideas for maths in IMA's new Mathematics Matters - energy, optical fibres, networks and more! @mathsinthecity

to highlight funding opportunities:

Funding opportunity through the National HE STEM Programme: RT

and finally, our 100th tweet - to highlight free tools for teaching mathematics and conferences where you can gain CPD on using such tools: 
 
Geogebra - excellent free tool for teaching maths. Their conference in Austria: (or ) 

So, hopefully it can be seen that the IMA is making good use of modern technology, such as Twitter, to keep the world informed of IMA and related news.

Friday, 27 May 2011

Conferences!

My name is Lizzi Lake, Conference Officer for the IMA - I feel this would be a perfect time to introduce myself and tell you a little more about the conferences coming up this year:

The next conference will be our 3rd Mathematics in Sport conference, on 22 - 24 June 2011 at The Lowry in Salford Quays. Registration is open for this event - please click here for further information for this conference.


The first IMA Conference on Nonlinearity and Coherent Structures follows from 6 - 8 July 2011 at the University of Reading. Registration is open for this event - for further information please click here.


Our 14th Early Career Mathematicians Conference will take place on Saturday 16th July at the University of Leicester - please visit the conference webpage for further information on the programme and to register!


Our first conference on Computational Neuroscience will take place 5 - 7 September at University of Plymouth. There is currently a call for papers for this conference - please follow the link for further information on the conference webpage.


The IMA Conference on the Mathematics of the Climate System will take place 13 - 15 September 2011 at the University of Reading. There is currently a call for papers for this conference which closes on 10 June 2011 - click here for further information on submitting abstracts, registration details and the conference itself.


Our 2nd Conference on Mathematics in Defence will take place on 20th October 2011 at the Defence Academy, Shrivenham. Please visit the conference webpage for further information and to register.


Our 15th Early Career Mathematicians Conference will take place on Saturday 19th November at the University of Bristol - further information will be made available via the conference webpages.


The 13th IMA International Conference on Cryptography and Coding will take place on 12 - 15 December at Lady Margaret Hall, University of Oxford. There is currently a call for papers for this conference that closes on 10 June 2011 - please visit the conference webpage for further information.


We are presently arranging the programme for 2012 - I would like to mention however the IMA's 9th International Conference on Mathematics in Signal Processing which will take place 17 - 20 December 2012 at Austin Court, Birmingham. The call for papers for this event closes on 2 May 2012 - for further information on this conference please visit the conference webpage.



For up to date details of our conference, please do visit our conference pages which include the conference calendar, information for organisers, conference proceedings and past conferences. If you would like to contact the Conference Team, you can reach us by e-mail: conferences@ima.org.uk, or by calling 01702 354020.