Tsao, Hung-ping (2020). Mathematics of Hung-ping Tsao. In: “Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)”, Wang, Lawrence K. and Tsao, Hung-ping (editors). Volume 2, Number 11, November 2020; 336 pages. Lenox Institute Press, Newtonville, NY, 12128-0405, USA. No. STEAM-VOL2-NUM11-NOV2020; ISBN 978-0-9890870-3-2………….ABSTRACT: I would like to share some of my ideas in Number Theory, Actuarial Mathematics, Sudoku Solving and Optimization Teaching with college students and colleagues. …………KEYWORDS: Natural sequence, AP-sequence, Power-sum, Product-sum, Sorting, Combination, Permutation, Cycle, Subset, Binomial coefficient, Stirling number, Pascal triangle, Bernoulli coefficient, Eulerian number, Bell number, Ordered Bell polynomial, Eulerian Bell polynomial, Recursive formula, q-Gaussian coefficient, Life insurance, Life annuity, Interest, Mortality, Contingency, Premium, Reserve, Sudoku, Puzzle, Row, Column, Box, Unique solution, Flipflops chain, Residue.