代數(shù)部分
多項(xiàng)式,代數(shù)手法進(jìn)階,數(shù)列,二次數(shù)列進(jìn)階, 不等式進(jìn)階
Rearrngement Inequality, Cauchy-Schwarz, Jenson?s Inequlity and more
幾何
歐氏幾何的處理手法,共點(diǎn)和共線,多邊形和圓,radical axis, 射影幾何入門(mén),三角函數(shù)進(jìn)階,解析幾何,solving geometric problems using vectors, solving geometric problems in complex plane.
立體幾何進(jìn)階
數(shù)論
類(lèi)費(fèi)布拉奇數(shù)列和質(zhì)數(shù)分解的幾個(gè)有趣結(jié)論
模運(yùn)算進(jìn)階 Euler?s Toteint Function, Fermat?s Christmas Theorem, Fermat?s little Theroem
快速篩數(shù) Quadatic Residue, Lifting the Exponent Lemma
排列組合
二項(xiàng)式系數(shù)的運(yùn)算 Vandermonde?s identity
幾種常見(jiàn)的排列組合思維方法,圖論入門(mén)
Probability and Expectation
隨機(jī)過(guò)程 Markov Chain
Roots of Unity Filter