General Math Resources & Articles for Students and Teachers

Mathematics and the Natural Sciences || Zero

Algebra & Trigonometry || Linear Algebra

Geometry || Algebraic Geometry || Projective Geometry || Differential Geometry

Logic & Set Theory || Number Theory || Fermat's Last Theorem

Modern/Abstract Algebra || Lie Group - Lie Algebra || Representation Theory

Mechanics || Quantum Mechanics || Quantum Field Theory

Calculus || Tensor Calculus & Relativity || Graph Theory & Combinatorics

Topology || Point-Set Topology || Algebraic Topology || Differential Topology

Category Theory || Chaos Theory & Fractals

All events in connection to the Abel Prize Week in May are cancelled due to the Corona pandemic.
The 2020 Abel Prize Laureates Hillel Furstenberg and Gregory Margulis will be honoured,
together with the Abel Prize Laureate(s) of 2021 during next year’s Abel Prize Ceremony, May 25 2021.

"How can it be that mathematics, being after all a product of human thought which
is independent of experience, is so admirably appropriate to the objects of reality."
--- Albert Einstein ---

"Physics is mathematical not because we know so much about the physical world,
but because we know so little; it is only its mathematical properties that we can discover."
Bertrand Russell

Euler's Identity: ei π + 1 = 0

10 Mind Blowing Mathematical Equations | by Sean Li
What is the most beautiful equation? | Quora Forum
The Baffling and Beautiful Wormhole Between Branches of Math | by Lee Simmons - Wired Magazine
The Most Beautiful Equation of Math: Euler's Identity | by Le Nguyen Hoang
Includes 55-minute video

Online Videos | Matrix Algebra | Change of Basis
Eigenvalues & Eigenvectors | Linear Algebra Textbooks

"Symmetries occur throughout mathematics and science. Representation theory seeks to understand
all the possible ways that an abstract collection of symmetries can arise." -- MIT - Mathematics

Knot Theory | Homology Theory | Homotopy Theory | Manifolds | Polyhedra

The above graphic represents the evolutionary development of plants from their beginnings to the present.

Supercomputers | Molecular Computers | Quantum Computers
Shor's Algorithm | Single-Electron Transistor | Coulomb's Law | Educational Resources
Artificial Intelligence | Neural Networks | Capsule Networks
Logic & Set Theory | Boolean Algebra - De Morgan's Theorems