Key Words: 250 years anniversary
- Yesterdays: Fourier discovered Heat is a wave , Fourier Series, Fourier Transformation, Signal processing…
- Today: IT imaging JPEG compression, Wavelets, 3G/4G Telecommunications, Gravitational waves …
- Friends / bosses: Napoleon, Monge… Egypt Expedition with Napoleon Army.
- Taught at the newly established Military Engineering University “Ecole Polytechnique”.
- Scientific Research: Short period but intense.
- Before Fourier died (he wrapped himself with thick blanket in hot summer), he was reviewing another young Math genius Evariste Galois’s paper on “Group Theory”.
Very good introduction of Modern Math concept “Group” to secondary school math students by an American high school teacher.
- Symmetry of a Square
- Isometry (*) or Rigid Motion (刚体运动) = no change in shape and size after a transformation
- What is a Group (群 “CAN I” ) ? = Closure Associative Neutral Inverse
- Monster Group = God ?
- String Theory: Higgs boson (玻色子) aka “God Particles”
Note (*): “保距映射” (Isometry），是指在度量空间 (metric space) 之中保持距离不变的”同构“关系 (Isomorphism) 。几何学中的对应概念是 “全等变换”。