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Alternative methods of arithmetic
This is a guest post by David Benjamin, who’s previously written several other guest posts on various topics.
It’s unavoidable that part of doing mathematics will always involve arithmetic: the simple calculations, additions and multiplications that so much else is built on. But the beauty of mathematics is that even these basic operations can be performed in a multitude of interesting ways.
Carnival of Mathematics 216
The next issue of the Carnival of Mathematics, rounding up blog posts from the month of May 2023, is now online at Eddie’s Math and Calculator Blog.
The Carnival rounds up maths blog posts from all over the internet, including some from our own Aperiodical. See our Carnival of Mathematics page for more information.
Review: The Spirit of Mathematics
This is a review of David Acheson’s new book, which we were kindly sent a copy of to read.
In The Spirit of Mathematics: Algebra And All That, David has pulled together a collection of what he refers to as ‘elegant mathematics using only simple materials’ – neat, short algebraic proofs and definitions, models of physical systems and mathematical tricks and curiosities.
He includes all the classics, from proof by induction to Fibonacci numbers to hitting a snooker ball, and each is presented with enthusiasm, alongside stories of mathematicians – and fearlessly including all the equations and derivations (if every equation really did halve your readership, as Stephen Hawking believed, this would be a very brave book to publish). But the maths is well-explained and very approachable, and it’s refreshing to see it featured so prominently outside of a textbook.
The book is also filled with helpful diagrams and illustrations, as well as humorous asides, cartoons and pictures of many mathematicians (sadly, only one female mathematician is featured, and she’s included only for her joke about how hard she’s found it to get a proof…) – but the book is well-produced and clearly laid out, with well-defined, short chapters each with a clearly defined topic.
The result is a compendium of intriguing ideas which would fascinate and compel a keen mathematician wanting to learn more, and provide hours of intrigue and jumping-off points for further investigation. Most topics are only covered briefly, so a deeper understanding would need research elsewhere, but for an enthusiastic reader this would happen naturally. Each discovery is motivated by a real-world example, or an interesting puzzle or curiosity, and all the key topics from algebra are touched on in one way or another.
However, this book wouldn’t suit an inexperienced mathematician – given which steps in the calculations are described as ‘simple’, a reasonable level of maths is assumed, and I’d imagine a strong GCSE or A-level student, particularly one already keen to learn more, would get much more out of it than a younger student. It’d also suit an adult wishing to refresh their mathematical knowledge from school and pick up some new ideas. But despite the blurb on the back claiming ‘for those who dread the subject, this book may be an eye-opener’, I suspect that such a reader might struggle in places.
Overall, this is a well-presented celebration of the best parts of mathematics, and showcases just how powerful maths can be.
My conference experience: TMiP 2019
This is a guest post from maths communicator Max Hughes. If you’re thinking about going to the Talking Maths in Public conference this summer, read on to find out what it’s like.
I first attended Talking Maths in Public in Cambridge at the end of August of 2019. At the time I was just about to go into my second year of a maths degree – knowing that I wanted to go into maths communication and outreach after finishing university, and keen to learn more.
Having never attended a conference before, I wasn’t quite sure what to expect when I arrived in Cambridge the evening before it kicked off. Luckily for me, I didn’t need to spend the evening alone in the hotel dwelling on my pre-conference nerves, as there was a planned pub meet up later in the evening for those who had already arrived in Cambridge.
Full of trepidation, I stepped into the lift of the hotel I was staying in, unaware that when the doors opened, I would be transported to a fantastic world of nerdery that I have never since left: the UK maths communication community. This may sound dramatic, but much like Charlie taking his first steps into the chocolate room of Willy Wonka’s factory, or Dorothy opening a door into the technicoloured world of Oz, I knew for certain that this was a seminal moment in my life.
Congregated before me in the hotel lobby was an almost perfect microcosm of the conference attendees. In my first moments at this gathering, I was greeted by a lecturer from my university, multiple popular mathematics YouTubers and speakers, a freelance editor, a couple of teachers and a mathematical knitting enthusiast… to name just a few. The other attendees made me feel almost instantly at ease in this new environment, and I went to the pub confident and excited to see what the rest of the conference would bring.
Day one of the conference started with some useful icebreaker activities followed by an engrossing talk on “Maths on YouTube”. After a short break there was a choice of 5 different workshops to choose from, presented by attendees demonstrating their own mathematical engagement activities. Forever a fan of the fantasy genre, I chose to attend an intriguing workshop that used dragons to engage and excite people about the wonders of mathematics.
The second day started off with my favourite session of the conference; a series of lightning talks by speakers and attendees talking about their work, that covered a diverse range of different types of events and projects, helping to paint a picture of the maths communication landscape not just in the UK, but globally. Following this was an important session on promoting inclusivity within engagement activities, as well as some smaller group discussion sessions and a panel on writing about mathematics. The final keynote session of the day was particularly spellbinding, with magician Neil Kelso informing the crowd on how to astonish audiences, showing that maths and magic have an unexpected amount in common.
By far the best part of the conference was the people, from the attendees brimming with mathematical possibility to the organisers who were passionate and invested in running a conference that was in equal parts informative, accepting and fun. The final morning of the conference was centred around just this, the people, in a range of networking events. This is how I found myself punting along the river Cam with fellow attendees solving maths problems to aid us in a “treasure punt”.
Throughout the entire conference a palpable air of jovial mathematics permeated the space. Whether it was impromptu conversations on mathematical cabaret, tense games of “The Mind”, or mathematical discourse on the toilet blackboards (yes, that’s a thing at the Isaac Newton Institute), the creative expression of mathematical joy was awe inspiring. From exploring the ins and outs of a beautiful city to being engrossed in deep mathematical conversation with a newly made friend, there were new perspectives around every corner.
I can honestly say that Talking Maths in Public 2019 acted as the perfect first step in my journey into the world of maths communication. The skills, contacts, and inspiration I gained empowered me to start properly communicating maths, creating a domino effect that led me to being employed as a maths outreach professional who truly feels part of a community of UK based mathematics communicators.
Carnival of Mathematics 215
The next issue of the Carnival of Mathematics, rounding up blog posts from the month of April 2023, is now online at Cassandra Lee Yieng’s blog.
The Carnival rounds up maths blog posts from all over the internet, including some from our own Aperiodical. See our Carnival of Mathematics page for more information.
Carnival of Mathematics 214
The next issue of the Carnival of Mathematics, rounding up blog posts from the month of March 2023, is now online at Theorem of the Day.
The Carnival rounds up maths blog posts from all over the internet, including some from our own Aperiodical. See our Carnival of Mathematics page for more information.