Mathematics Proofs: GCSE & A-Level @mathsproofs
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Meditation...
Secrets of Pascal's Triangle.
Scaffolding: Stop working so hard. If it's not flowing, you're learning incorrectly. "Insanity is doing the same thing over and over again and expecting different results" - Albert Einstein
3-4-5 Derivative, 22.07.2025. Ruler & Compass, Pencil, Pen and Paper #pythagorastheorem
Mathematics as a Language, Herbert Simon... “Mathematics is a language. We want scientists to be able to read it, speak it, and write it.” en.wikipedia.org/wiki/Herbert_A…
Definitions: The Signum Function Desmos Demo: desmos.com/calculator/72z…
Many are in a rush. Many believe if they only 'work harder' the results will come. But the universe very rarely rewards those who work the hardest and it often rewards those who work the calmest and smartest. Those who keep their composure under pressure. Maths learning: Flow
Group Homomorphisms - Abstract Algebra youtu.be/XPF5fe1WdKY?si…
Mathematics may look like hieroglyphics at first, but once you learn to read, the symbols teach you. #Math #Notation #Language Image source: commons.wikimedia.org/wiki/File:Minn…
Understanding mathematical notation and symbols Important definition: Vector spaces
Let φ: G → G′ be a group homomorphism. This proof shows: • φ(e) = e′ • φ(a⁻¹) = φ(a)⁻¹ Step-by-step using the group axioms.
If ab = e, then b = a⁻¹ ✅ Every element in a group has a unique inverse — and here’s the proof, step by step. Handwritten. Clean. Precise.
ac = bc ⇒ a = b, step-by-step ✍️ A clean group theory proof using identity, inverses, and associativity — handwritten and explained. Perfect for students of abstract algebra, Further Pure Maths, or anyone building strong mathematical foundations.
The line from 0, 0, 0 to 1, 2, 3. There is the real line, then the shadows it leaves behind on the cuboid surrounding it. With the information left on the boundaries, you can reconstruct the line. #perspective
Abstract algebra: Rings covered in detail. Personalised notes. threads.com/@mathematics.p… #rings
Group theory: Reflexivity, symmetry and transitivity visualised. #math #visualmath #evenandodd
Equivalence relations and partitions: Proof and some very helpful workings for comprehension. What you'll find with textbooks is that there is far too much mathematical jargon and not enough simple breakdowns. There should be simple breakdowns before each proof.
The division algorithm for ℤ. #division #puremathematics
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