Link to Course: Link. ROUGH NOTES (!) Updated: 3/4/25 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: 28/3/25 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, Papa... 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
What effects does enjoying things in imagination have on the brain? Eg: I can enjoy an apple in reality. I can enjoy an apple tasting like a strawberry in imagination. Perhaps: Imagination is the biggest boon to life. Perhaps: Keep drawing happiness from the imagination ? Hypothesis: Making imagination as the primary source of happines... Read more 16 Mar 2025 - less than 1 minute read
Updated: 27/3/25 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 “Undergraduate Algebra” and “Undergraduate Analysis” by Lang. “Introductory Real Analysis” by Kolmogorov, Fomin. “Modern Geometry... Read more 13 Mar 2025 - less than 1 minute read