Math

Mathematics Blog by Gaurav Tiwari. This section is dedicated to exploring various mathematical concepts and theories, transcending the boundaries of traditional high school and early college curriculums.

The mathematics topics here encompass various subfields, including algebra, calculus, number theory, geometry, topology, and more.

blockchain, network, business

The Best Books on Cryptography

Cryptography sits at the intersection of mathematics, computer science, and security. Whether you're studying number theory, network security, or blockchain technology, a strong foundation in cryptographic principles is essential. I've…

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Mathematics of Betting Odds

Understanding betting odds mathematically gives you an edge that most bettors don't have. Probability, expected value, implied odds, and margin calculations separate informed bettors from recreational ones. This guide breaks…

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A Possible Proof of Collatz Conjecture

A reader sent me something bold: a claimed proof of the Collatz Conjecture. Eswar Chellappa spent nearly ten years working on this. I present his approach, explain the key arguments,…

Important Definitions in Functional Analysis

Functional analysis is where linear algebra meets topology. It studies infinite-dimensional spaces, and if that sounds abstract, here's why you should care: it's the mathematical backbone of quantum mechanics, signal…