* The following were written up as revision during my mid-semester break, with some corners cut and proofs added where needed. I've skipped the first couple of chapters because they're boring and largely irrelevant.* # Cauchy Sequences Our motivation for defining and investigating Cauchy … [Read more...]

## Growing up Part III

I'm constantly reminded of the unrelenting flow of time, and me being dragged along for the ride. I commented to a friend the other day how weird it was that I'm checking the mail every day - so mundane and grown-up in a weird way. My thoughts have been clouded by finance troubles galore (thanks, … [Read more...]

## Growing Up Part Deux

So I'm back in Canberra now after several weeks in Sydney finishing up that education research project, and I've now moved out of my residential college with a couple friends to a house in Dickson. Funnily enough, I write this as I sit in a tutorial room in said residential college regardless, … [Read more...]

## Did I just psychoanalyze myself with tacos?

They just had $5 tacos here at the youth hostel where I've been staying for the past week or so. I figured, it might be interesting to leave my phone in my room, so I could eat with just myself and my thoughts for a change. My thinking was, "there's been a few random nagging things in the back of … [Read more...]

## Network Theory | Preface and Chapter 1

*The following notes are from "A First Course in Network Theory", by Estrada and Knight".* #Preface - Originated from lecture notes - Difficult to balance theory and application, catering to a highly diverse student cluster (in lectures_ - Avoid heavy math bias *(dammit)* - No … [Read more...]

## Griffith's QM | The Wave Function

#The Schrodinger Equation Consider a particle constrained on the x-axis, with mass $m$, subjected to a force $F(x,t)$. - In Classical mechanics, we determined $x(t)$, the position. Then we find $v = \frac{dx}{dt}$ the velocity, and momentum $p = mv$. Finally, we determine the kinetic energy $T … [Read more...]

## Griffith's Quantum Mechanics | Preface

- QM was not created by one individual, and retains 'scars' from its traumatic youth. >'I think I can safely say that nobody understands quantum mechanics.' -Feynman - One cannot understand what quantum mechanics *means* until one understands what it *does*. That's what this book is … [Read more...]

## Notes: Spivak's Calculus Prologue C1 Inequalities

**Note: I lost a page from my notepad, so this is not a continuous stream of notes in that if we let $\epsilon … [Read more...]

## Sydney, Homelessness and Education

I've spent about a week back in Sydney now, finishing off my research project over at USyd on open-ended science investigations for the ASELL schools program. I'll get around to writing a project update, or two, or four...I promise. It's actually been a lot of fun, and I've learnt a lot - not in the … [Read more...]

## Mathematics and the Physical World - Book Review

There's a few books which have created true inspiration and passion for physics and maths. This book *Mathematics and the Physical World*, by the late Morris Kline, is one of them. I chanced upon this book in the depths of the ANU library, searching for a few mathematics textbooks. With an … [Read more...]

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