Math Mastery with Amitesh

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268 videos

Hi Everyone! 😊 My name is Amitesh Datta and I am a research mathematician. The goal of my channel is to introduce fundamental math topics at *all* levels in ...

Latest Videos

How to Differentiate Log when the BASE is a Function Calculus Tutorial!

Rational Roots Theorem for Polynomials! FAMOUS Proof!

The MIND-BENDING Number Challenge! Olympiad Math!

The VISUAL Intuition of Lagrange's Theorem! Group Theory Proof!

You CANNOT split the closed interval [0, 1] in this way! Set Theory Proof!

Fermat's Little Theorem Intuitive Number Theory Proof!

When is a POLYNOMIAL a Sum of Two SQUARES Hilbert's 17th Problem!

Euler's FAMOUS Theorem on Polynomials and Primes! Number Theory Proof!

When is an ⍺-Hölder continuous function CONSTANT Real Analysis Proof!

What are the IDEALS in a Matrix RING Intro to Ring Theory!

SNEAKY Trick to PROVE Inequality! Fun Math Proofs!

Find the DOMAIN of the Logarithm of a Rational Function! Precalculus Tutorial!

What is a Heegaard Splitting Low-Dimensional Topology for Beginners!

ELEGANT Solution to Optimization Problem WITHOUT Calculus!

EACH prime number divides INFINITELY many Fibonacci numbers! Number Theory Proof!

A BEAUTIFUL Condition for a Group to be CYCLIC!

The ECLECTIC Continuous Function Challenge!

MAGIC Proof Sum of Square Roots is IRRATIONAL!

How to Approach Tricky Functional Equations Olympiad Math!

The Bernstein Polynomials are a Basis Linear Algebra Exercise!

A FUN Example of an INFINITE Group and a Strange Subgroup!

An UNCONVENTIONAL Infinite Series for π! Limit Tricks!

Graph the Absolute Value of a Linear Function! Precalculus MASTERCLASS!

Cool Number Theory Divisibility Puzzle with INGENIOUS Solution!

A COMPLEX Limit with the FLOOR Function! Calculus Tutorial!

A FUN Fact about NILPOTENT Matrices and Invertibility Linear Algebra Proof!

PROOF Infinite Nested CUBE Root Makes Sense! Real Analysis for Beginners!

How to Calculate an Infinite Nested CUBE ROOT!

The Binomial Theorem can be simpler than you ever knew ...

How to RIGOROUSLY Capture Dimension Topology for Beginners!