## Sticky Post – Read this first. Categories and Links in Mathemafrica

The navigability of Mathemafrica isn't ideal, so I have created this post which might guide you to what you are looking for. Here are a number of different categories of post which you might like to take a look at: First year mathematics notes and resources (particularly for the University [...]

## Calculus for the ambitious, by Tom Korner, a review, by Henri Lauri

Amazon link This is a lovely book: strong emphasis on ideas; a lively sense of humour; a sure logical touch; historical detail that is accurate, relevant, yet quirky (takes some doing!). What's not to like? Well, there's this: it is not easy to decide whether to recommend the book to [...]

## The Recamán sequence

In case you have watched the following video about the Recamán sequence. and want to play around with it in Mathematica. Here is my code for doing so: nums = {0}; For[i = 1, i < 66, i++, If[nums[[-1]] - i > 0 && Position[nums, nums[[-1]] - i] [...]

## Music by the Numbers, From Pythagoras to Schoenberg – By Eli Maor, a review

NB. I was sent this book as a review copy. From Princeton University Press Music by the numbers leads us on a journey, as stated in the title, from Pythagoras to Schoenberg. In many ways the endpoint is stated early on, giving us clues that a revolution in [...]

## What can be computed? A practical guide to the theory of computation – by John MacCormick, a review

NB. I was sent this book as a review copy. From Princeton University Press. It's not often that a textbook comes along that is compelling enough that you want to read it from cover to cover. It's also not often that the seed of inspiration of a textbook [...]

## On Gravity, a brief tour of a weighty subject – By Tony Zee, a review

NB. I was sent this book as a review copy. From Princeton University Press In the era when our eyes are being opened to the Universe in the gravitational spectrum via the recent gravitational wave observations, this book is exactly what is needed to communicate to the general [...]

## PDE: Physics, Math and Common Sense. Part I: Conservation Law

Source: CFDIinside blog INTRODUCTION The course of Partial differential equations (PDEs) usually is a tough one. There is a number of factors contributing to this toughness: PDE course combines the knowledge from calculus, algebra, ordinary differential equations (ODEs), complex analysis and functional analysis. Simply put, there is a lot that you need to know about! PDE methods often (or should I say, mostly?) come from physics, but this aspect is not always emphasized and, as a result, the intuition is lost. There is lots of abstraction in the PDE course material: characteristics, generalized functions (distributions), eigenfunctions, convolutions and etc. Many of these concepts actually have simple interpretations, but again, this is not emphasized. PDEs themselves are tough. In contrast to ODEs, there are no general methods for all kinds of PDEs. The field is young and a bit messy. This series of posts aims to demystify PDEs and show some general way of handling PDE problems by combining physical intuition and mathematical methods. I am a strong believer in computational approach to mathematics. If you wish, it also can be called an engineering mathematics. They core idea of it: we must get an answer. With the examples presented here we will go all the way from formulating the problem to getting the solution. This also means that on the top of PDEs we would need to deal with another tough mathematical topic: numerical methods. But lets not to get ahead of ourselves and first find out “why PDE?” or using Shakespearian pun […]

## Advice for MAM1000W students from former MAM1000W students – part 5

While I resisted Mam1000W every single day, I even complained about how it isn't useful to myself. Little did I know when it all finally clicked towards the end that even though I wasn't going to be using math in my life directly, the methodology of thinking and applying helps [...]

## Advice for MAM1000W students from former MAM1000W students – part 4

In high school, as I believe was the case for many students, there wasn't much incentive to work very hard regularly on math - concepts were easy to grasp first hand in class. That's the kind of attitude I brought towards MAM1000W last year (2017). Unfortunately things didn't turn out as [...]

## Advice for MAM1000W students from former MAM1000W students – parts 2 and 3

Part 2: ------- So one thing that really helped me was having a partner in tuts. We would do the tuts as far as we could and we would then try to help one another in the tuts and ask the tutors for help if there was a difference in [...]