Dr Barker

This Proof is Lying to You

Dr Barker

A Fun Telescoping Trick for Series

Dr Barker

Not Pythagoras' Theorem

Dr Barker

A Short Algebra Problem

Dr Barker

This Calculus Problem Looks Impossible

Dr Barker

This Identity Feels Wrong

Dr Barker

A Beautiful Proof of a Beautiful Inequality

Dr Barker

Sum of cos(kπ4)2^k using Complex Numbers

Dr Barker

Can x^x^2 have an Inverse Function

Dr Barker

3 Proofs of Vandermonde's Identity

Dr Barker

Can You Split an Obtuse Triangle into Acute Triangles

Dr Barker

How Many Real Solutions Problem (Plus a Proof of Descartes' Rule of Signs)

Dr Barker

A Functional Equation Problem

Dr Barker

Vector Triple Product Expansion Geometric Proof (BAC-CAB Identity)

Dr Barker

Multiple angle formula for tan

Dr Barker

Beyond the Change of Base Formula

Dr Barker

A Double Series Problem

Dr Barker

Use Algebra, NOT a Calculator!

Dr Barker

Is 2026 Trigonometrically Interesting

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A Function with no Minimum. Should we be surprised

Dr Barker

Volume of a Pyramid An Unusual Proof Using Probability

Dr Barker

There's Something Wrong With How We're Taught Integration By Parts

Dr Barker

Continued Fractions for Square Roots

Dr Barker

Laws of Logarithms Via Integral Definition

Dr Barker

A Crazy Simultaneous Equations Problem Find all Positive Solutions

Dr Barker

Negative Powers of 2 & 5

Dr Barker

A Number Pyramid Puzzle

Dr Barker

My New Favourite Number

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Complex Continued Fraction Equation

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Product of all Factors of any Number

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