Blog (mostly math)

Udacity Courses

Link to Udacity page: Link. List of some Udacity courses: Programming: Introduction to Programming. Data Structures and Algorithms. Front End Web Developer. Backend Developer with Python. Artificial Intelligence: AI Programming with Python. Statistics for Data Analysis. I... Read more

Post

Grothendieck on being alone. Link to the writing: Link. Read more

Baire Category Theorem

Ref: “Introductory Real Analysis” by Kolmogorov, Fomin. Link to Stackexchange post: Link. Def [Nowhere dense sets] Let ${ (X, d) }$ be a metric space. Let ${ A \subseteq X . }$ We say ${ A }$ is nowhere dense if for every open ball ${ B }$ the set ${ A \cap B }$ is not dense in ${ B . }$ Let ${ (X, d) }$ be a complete metric space. How la... Read more

Open Mapping Theorem

Updated: 22/2/26 Ref: Functional Analysis lectures by Casey Rodriguez. Lecture on the Open Mapping Theorem. Link to the lecture: Link. “Introductory Functional Analysis” by Kreyszig. Let ${ B _1, B _2 }$ be Banach spaces. Let ${ T \in \mathcal{B}(B _1, B _2) }$ be a continuous linear operator. Suppose ${ T }$ is biject... Read more

Business-2 Finance-2

Ref: UPenn Coursera courses on Business. Link to UPenn Coursera page: Link. Link to UPenn MBA curriculum: Link. Link to UPenn Finance courses: Link. ROUGH NOTES (!) Updated: 23/2/26 Course-2: Introduction to Corporate Finance Instructor: Prof. Michael Roberts. Book: “Corporate Finance” by Berk, DeMarzo. Time Value of Money. Link to off... Read more