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Ansh Pincha

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DUTIS — Feynman’s Ingenious Integration Technique

Feynman’s Integral Trick and its applications. Truly some ingenious stuff.

Jan 8, 2024

DUTIS — Feynman’s Ingenious Integration Technique

Jan 8, 2024

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The Height of Counterintuitive Mathematics — the Birthday Problem

Let me ask you this: say there’s a room filled with some number of people. There are no twins/triplets/quadruplets/… in this room. Each…

Jan 28, 2024

The Height of Counterintuitive Mathematics — the Birthday Problem

Jan 28, 2024

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Optimization Made Trivial: the Lagrange Multiplier

A primer on mathematical optimisation using the Lagrange multiplier.

Jan 20, 2024

Optimization Made Trivial: the Lagrange Multiplier

Jan 20, 2024

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The Pinnacle of Mathematical Beauty — Volume in Higher Dimensions

We derive and analyze the volume of the unit n-ball in an endeavour to present the cold and austere beauty of mathematics.

Jan 12, 2024

The Pinnacle of Mathematical Beauty — Volume in Higher Dimensions

Jan 12, 2024

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Sophomore’s Dream —The Peak of Mathematical Elegance

In this article, we prove the Sophomore’s Dream and indulge oursleves in the pinnacle of elegant mathematics.

Jan 5, 2024

Sophomore’s Dream —The Peak of Mathematical Elegance

Jan 5, 2024

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Fermat’s Little Theorem and its Generalization to Euler’s Theorem

A primer on Fermat’s little theorem and its generalization to Euler’s theorem

Jan 3, 2024

Fermat’s Little Theorem and its Generalization to Euler’s Theorem

Jan 3, 2024

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A Measure Theoretic Approach to Probability (Part 3) — Expectation and Lebesgue Integrals

In this article, we explore a rigorous measure-theoretic definition of expected value and introduce Lebesgue integrals.

Dec 14, 2023

A Measure Theoretic Approach to Probability (Part 3) — Expectation and Lebesgue Integrals

Dec 14, 2023

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A Measure Theoretic Approach to Probability (Part 2)

Using measure theory to define random variables as measurable functions.

Dec 4, 2023

A Measure Theoretic Approach to Probability (Part 2)

Dec 4, 2023

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A Measure Theoretic Approach to Probability (Part 1)

Defining probability intuitively and elegantly— using the fundamentals of measure theory.

Nov 26, 2023

A Measure Theoretic Approach to Probability (Part 1)

Nov 26, 2023

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Divisibility of Primes (Part Two) — Clement’s Theorem and Twin Primes

Twin primes and a necessary and sufficient condition for their characterization.

Nov 24, 2023

Divisibility of Primes (Part Two) — Clement’s Theorem and Twin Primes

Nov 24, 2023

Ansh Pincha

Ansh Pincha

High-school maths enthusiast. I particularly enjoy (prime) number theory, probability and analysis.

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