PinnedPublished inCantor’s ParadiseA first introduction to differentiationA first introduction to differentiation, for those first learning calculus or returning to math after a long break!Mar 4, 2024Mar 4, 2024
PinnedWelcome to my page & MetaHello! I’m Wojciech and here is a short description of how my page works :)Mar 11, 2024Mar 11, 2024
PinnedPublished inWojciech’s maths problemsAn International Mathematical Olympiad level Number Theory problem.The International Mathematical Olympiad is known as the toughest competition in the world for high school students. Could you best it?Jan 25, 20244Jan 25, 20244
Published inHigher MathematicsAn introduction to topology #4: Limit points, closures, interiors and continuityA continuation of the topology series. We introduce one of the most important concepts in topology; homeomorphisms.1d ago1d ago
Published inHigher MathematicsAn introduction to abstract algebra #5: Quotient ringsIn this article, we describe what we call quotient rings and slowly build from them. Roughly, they allow ring glueing.5d ago5d ago
Published inHigher MathematicsAn introduction to topology #3: The transition from metric spaces to topologies.A continuation of the topology series; transitioning from metric spaces to topologies.Feb 20Feb 20
Published inHigher MathematicsAn introduction to abstract algebra #4: Ideals, PIDs, PrimesIn this article, we cover ideals, principal ideal domains and primes in various rings.Feb 17Feb 17
Published inHigher MathematicsAn introduction to topology #2: Continuity in metric spacesThis is the continuation of the first part of the series. In this one, we cover continuity and sequences of metric spaces.Feb 13Feb 13
Published inHigher MathematicsAn introduction to abstract algebra #3: Criterions for irreducibilityIn this article, we further review irreducibility in a ring, in particular, the polynomial rings R[x].Feb 10Feb 10
Published inPuzzle SphereHow large must a mirror be to see your entire body?Suppose you are 1 metre away from the mirror, how large must the mirror be to see both the top of your head and your toes? Surprisingly…Feb 9Feb 9