Mathematics

Mathematicians

• Domenico F Archimedes, Isaac Newton, Gottfried Leibniz, Bernoulli family, Carl Gauss, Leonhard Euler

Laws & principles

• Brachistochrone curve ([braˈkistəˌkrōn, brəˈ-], 最速降线): Shortest  v. fastest path, Cycloid (摆线)

• Principle of least effort: Action principles (最小作用量原理)

• Huygens–Fresnel principle/惠更斯－菲涅耳原理 (子波,包络面,波面,波线): 反射,折射,海浪; Fermat principle/費馬原理

Numbers

• Real & complex: Imaginary unit (i), 3D animations

• Expressions: Exponentiation, Nth root, Logarithsm

• Math constant: Pi (π), Euler's # e

Algebra

• Elementary algebra

• Abstract algebra: Groups, rings and fields

• Linear algebra: vector spaces (matrices)

Geometry (几何学)

• Euclidean (欧几里得几何): Triangle, Polygon, Circle, Ellipse, 阴阳, Spiral, Astroid, Deltoid

• Differential geometry: Riemannian geometry

• Non-Euclidean geometry, Topology, Algebraic geometry

Trigonometry

• Trig. func: Sine, Cosine, Tangent, Cotangent

• Hyperbolic func: Sinh, Cosh, Tanh

• Trigonometric functions