* 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...]

## 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...]

## Notes: Spivak’s Calculus Preface and Prologue Chapter 1

- Book is driven by a 'desire to present calculus not as a prelude, but a first real encounter with mathematics'. - Precision and rigour shouldn't be deterrents - they are the natural medium for formulating mathematical questions - 29 Chapters, with 2 'starred' as optional - Presented as an … [Read more...]

## Next Gen Infrastructures Module 1

# Module 1: Complexity and Infrastructures # Grand challenge: An infrastructure meeting twice the needs of today's population, with half the resources, providing twice the livability. Complexity of infrastructures causes emergent issues. - examples - Multifunctionality in infrastructures - … [Read more...]

## Where to Start

Are you what many would regard 'a layman' when it comes to academics? No science background, never read an academic paper? This blog section is my attempt to shortly summarize in simple, down-to-earth terms, *what* research from specific, real papers, are about. I'm not constraining to physics and … [Read more...]