Recently I’ve started studying maths using a Jupyter notebook. What I do is to review my coursework, and while I go through each theorem/proof, I code it up in the IPython notebook and experiment with the maths. I’ve found it a good way to come to grips with complex ideas. I’m currently studying Dirichlet Characters, and am finding the technique invaluable.
I just found Ram Murty’s short course on YouTube – Introduction to Analytic Number Theory. So good! I am studying Apostol’s book “Introduction to Number Theory” at the moment, and it is fantastic to get an insight into the subject from someone so brilliant! I ordered Murty’s book “Problems in Analytic Number Theory” after watching the first lecture.
Today has been a day of Analytic Number Theory study. I have a couple of assignments due next week on the Calculus of Variation and Analytic Number Theory. I’m a bit behind in my study plan, but that is nothing new. I found some excellent YouTube videos on various topics that I am working on – it really is an amazing resource!
I met up with some of my old team from BNP Paribas last week. I found it striking that everyone who was there is now working directly with Machine Learning. It was quite inspiring!
For the last few years I’ve been building Trading Execution Algorithms for Westpac. Time to do something different!
I decided to enroll in Coursera’s Deep Learning Specialization. I’ve just finished the first week, and I am really enjoying it. Andrew Ng is a fantastic teacher. I did his previous course on Machine Learning and loved it.
I read a really interesting post on Reddit explaining Markov Chain Monte Carlo, which drew the analogy between MCMC and a long game of Frogger.
I’ve been studying for another Maths exam. This time it’s the Open University M343 “Applications of Probability” course. It’s exam time so I’ve been making flash-cards to study with.
OK, here is an idea I had this morning: It’s called “Mnemonic Tagging”. The idea is that you create a list of keywords (or tags) that you use to mentally file mnemonic visualizations. For each of these tags you imagine something that represents the tag, followed by a chain of mnemonics that relate to that tag.
I have been studying maths for quite a few years now, but I still find it a struggle to remember various formulas/equations, especially when starting a new topic. I’ve been thinking about developing my own mnemonic system for math symbols to help me memorize equations easily.
I would need to relate various mathematical operators to something else that is easy to visualize. The bracketing of expressions is problematic, you would need to have a way of visualizing a collection of things that the operator acts on.
I think that having a mnemonic system for maths would help internalize the ideas and models within a domain. It’s obviously still a work in progress!