Link to Course: Link. ROUGH NOTES (!) Updated: 5/4/25 Week 0. Scratch. What is Computer Science? Computer Science is the study of information. How we represent it, and how we process it. What is Problem Solving? \[{ \text{Input} \to \blacksquare \to \text{Output}. }\] Can we represent the inputs and outputs? Eg: Consider counting, repr... Read more 01 Apr 2025 - 7 minute read
Updated: 30/10/25 Mathematics Serge Lang’s books. “Mathematical Analysis, Vols 1 and 2” by Zorich. “Elements of Mathematics, Vols 1 to 12” by Bourbaki. “Treatise on Analysis, Vols 1 to 8” by Dieudonne. “Analysis, Vols 1 to 4” by Godement. “Analysis, Vols 1 to 3” by Amann, Escher. “Analysis, Vols 1 and 2” by Tao. Baby Rudin, Pap... Read more 26 Mar 2025 - 3 minute read
The goal is to study “forces”. Can we quantify “forces”? Consider a wooden block on a smooth horizontal surface. Suppose the wooden block is initially moving from west to east with a velocity ${ \vec{v} . }$ i) Note that if no “force” acts on it, it will continue to move with this velocity indefinitely. ii) Suppose a constant “force” acts on... Read more 18 Mar 2025 - 1 minute read
Updated: 29/10/25 Link to Youtube channel: Mæth. The goal is to study Mathematics in an Inquiry based approach. \[{ \underline{\textbf{Reading List}} }\] Inquiry based approach. Mathematics and Data Science “Foundations of Applied Mathematics” by Humpherys, Jarvis “Undergraduate Algebra” and “Undergraduate Analysis” by Lang. “Introdu... Read more 13 Mar 2025 - 1 minute read
Updated: 22/2/25 Ref: “Undergraduate Algebra” by Lang. The goal is to study the structure of finite abelian groups. Let ${ (A, +) }$ be a finite abelian group. We can ask ourselves: Can we express ${ A }$ in terms of its subgroups? Note that for every integer ${ n \in \mathbb{Z} _{> 0} }$ there is a group homomorphism ${ \varphi _n : A \t... Read more 05 Feb 2025 - 11 minute read