Topics
General Math Resources & Articles for Students and Teachers
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 || Algebraic Topology || Differential Topology
Category Theory || Chaos Theory & Fractals






"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


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 | Artificial Intelligence
Logic & Set Theory | Boolean Algebra - De Morgan's Theorems