Blog (mostly math)

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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

SDE-1 Software Development

Ref: Amazon Coursera Junior Software Developer Course. Link to the course: Link. ROUGH NOTES (!) Updated: 21/2/26 Course-1. Software Development Link to the course: Link. Java is a versatile, fast, and reliable programming language. It powers many things, from apps on your phone to big banks that manage your money. In this course we will... 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