Welcome to my collection of notes on various topics in mathematics. These documents aim to serve as concise references for students, self-learners, or anyone revisiting mathematical foundations.
This repository is an archive of my mathematical explorations, developed through coursework, self-study, and discussions with peers and professors. Mostly, the emphasis of each document is on definitions, theorems, proofs, and examples. I express my sincere gratitude towards my co-authors and course instructors, for helping me develop and finalize the notes.
A comprehensive reference handbook co-authored with Sonali Saha, based on Prof. Venku Naidu D’s Fall 2024 lectures at IIT Hyderabad. Covers normed spaces, Banach and Hilbert spaces, bounded operators, and the "Five Pillars" of Functional Analysis.
A comprehensive reference handbook, based on Prof. Venku Naidu D’s Spring 2025 lectures at IIT Hyderabad. Covers periodic and non-periodic Fourier analysis, and periodic and non-periodic distribution theory. We study several transformations on functions, such as translations, modulations, convolutions, derivatives, and so on, and see how the Fourier transform acts on them.
- Extreme Value Theory
Rajdeep Pathak
🎓 Ph.D. Scholar, Department of Mathematics | 📍 Sorbonne Université, Paris (ForeML Lab, SUAD, and SCAI Paris)
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