Showing posts with label Fermat's Last Theorem. Show all posts
Showing posts with label Fermat's Last Theorem. Show all posts

Monday 28 May 2018

The Numbers Universe


I'm currently reading Simon Singh's "Fermat's Last Theorem" which I picked up after reading "The Mathematical Secrets of The Simpsons" and it's probably the first book that I've read where I immediately reference the footnotes and appendices as soon as they are referenced in the book. I'm not sure what my fascination with numbers is but I do enjoy exploring the concepts to some of the ideas may cause people to say so  "So What?".

The value of Π (Pi) for instance is essential to be right for all sorts of calculations and engineering constructs. The mechanical clock would not work if Π were not adhered to and more importantly neither would the wheel.

Fermat's Last Theorem is basically:

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2.

And a lot of people will say "So What?" to that but it is an intriguing puzzle that certainly fires my imagination and Simon Singh's presentation of the story certainly keeps my interest up at 100% as it's mixed in with a whole slew or other theories and conjectures taking in Pythagoras, Euclid and of course Andrew Wiles who finally proved the Theorem.

I've also installed Grammarly to see if it can improve my blog writing. It has spooted the odd mistake but also has flagged the theorem an + bn = cas an error so I will see how this progresses. Though this post seems relatively free of howlers.

One of my favourite TED talks ever is a twenty minute talk on prime numbers by an Australian DJ, Adam Spencer. And Grammarly just flagged up an error then so it's just proved it's worth.

Cat Stevens (Yusuf Islam as he is now) released an album in 1975 called numbers which was in a nice package which is not available digitally but I will close this post with "Banapple Gas" from the album.


Tuesday 22 May 2018

Anvil Music


Twenty pages into to Simon Singh's "Fermat's Last Theorem" and I'm finding out how Pythagoras determined the principles of music based on mathematics with the helm of a couple of blacksmithsand the simple defintion of perfect numbers and the spin offs from that. This is twenty pages in. Three hundred pages to go. Will I finish it? You bet I will, I just finished Bob Dylan's "Tarantula" so any book directly after that will be a breeze.

I think everyone should take a stab at "Tarantula" and try to avoid throwing it through the window or lighting a fire with it. I enjoyed the dense but sparse volume.

Yesterday I was feeling extremely demotivated, not wanting to work, walk or do anything, feeling in a very black mood for some reason. Today I tasked byself with some hefty mathematical work and it ended up taking most of the day pushing my PC way over the edge of it's capabilities but eventually getting what I wanted in the end.

Then I felt like actually setting up some meetings o sort some improvements to working practices. The problem is that very often things are not a one off and have to be maintained, and most people are not really interested in aftercare.

Any way given all the talk of music and anvils we can only have Steve'n'Seagulls' cover of AC/DC's "Thunderstruck". Watch the video and you know why.

Good night and God Bless. 


Monday 21 May 2018

& the lumberjacks are coming


It's the final few words of Bob Dylan's "Tarantula" described as Bob Dylan's only fictional novel although if you think of fiction you tend to expect a coherent storyline, Reading "Tarantula" is like looking at a Picasso or Dali, I was thinking Pollock too but maybe that's too free form, maybe Stockhausen and Zappa too. "Tarantula" has recognisable sententences and even chapters with titles that make sence, but it's the dense mix of text interspersed with poetry forms , and those paintings are like that , you can see the forms even though they may be bent out of shape, cut up or re-assembled.

Most of Dylan's songs are far more coherent than "Tarantula" and some have reasonably straightforward narratives, if sometimes slightly surreal, some songs are lists, streams of consciousness a la Dylan Thomas, so a lot less challenging than "Tarantula"  although sometimes Dylan's voice does grate on people, so if you want an easier introduction to his songs check out The Byrds "Sing Dylan" compilation.

My next book is Simon Singh's "Fermat's Last Theorem" which I have mentioned before and is a heftier tome. You know this book is importent when you have read twenty pages and are on Page 3 (foreword and preface!!) and the calculations in the Apeendices will probably be essential to my appreciation and understanding of it. Simon Singh is also an excellent and accessible writer, you couldn't include "Tarantula" in the latter.

Another beautiful Monday morning so I will leave you with The Byrds covering Bob Dylan's "Chimes of Freedom"

Thursday 8 March 2018

Fermat's Last Theorem, Pills, RIP NME on International Women's Day


It is International Women's Day and I am shocked how18th Century most of our politicians and people in power are, continually denying what women want , true equality. But it's similar with race and lots of other artificial human divisions. Misogyny is still rife and is prevalent in men and women. While I would employ a skinny small woman as a hod carrier, I wouldn't employ a skinny small man to do the smae job, but there are lot's of women who would make a far better hod carrier than I. But follow the link and remember treat everyone with the respect they deserve and do not discriminate.

Reading the Simon Singh book I finally found out what Fermat's Last Theorem is and the problems it has caused. In lots of nots he said he had found irrefutable proof that there are no natural numbers (1, 2, 3,…) x, y, and z such that xn + yn = zn, in which n is a natural number greater than 2. This was finally proved in 1995 by Andrew Wiles with help from his friend Richard Taylor . See article here.

Homer Debunks Fermat's Last Theorem
The Simpsons supposedly debunked the theorem and you can too, but only because of the
inaccuracies of ten digit pocket calculators.

I'm only forty pages into "The Simpsons and Their Mathematical Secrets" but it is providing me with both entertainment and knowledge. Aren't books just wonderful.

 



Tomorrow the final edition of The New Musical Express will hit the shelves. They went to a free publication but it is the end of a music journalism era but given that most news is gleaned from the internet these days it's probably no surprise. It will probably continue online which you can visit here.

I've been listening to the excellent "Masseduction" by St Vincent and had been hearing "Pills" on the radio and it sounds like a mash up of a Disney Musical soundtrack with a latter day Depeche Mode backing band, and it is brilliant.

It's frosty this morning so wrap up and have a great Thursday, and spare a thought for Spurs fans this morning.