https://www2.math.upenn.edu/~wilf/gfologyLinked2.pdf

generatingfunctionology

Of all the books that I’ve ever read — the best.Author: Herbert S. Wilf

Department of Mathematics

University of Pennsylvania

Philadelphia, Pennsylvania

Copyright 1990 and 1994 by Academic Press, Inc.

https://www2.math.upenn.edu/~wilf/AeqB.pdf

A=B

Authors: Marko Petkovŝek, Herbert S. Wilf, Doron Zeilberger

Marko Petkovŝek, University of Ljubljana, Ljubljana, Slovenia

Herbert S. Wilf, University of Pennsylvania, Philadelphia, PA, USA

Doron Zeilberger, Temple University, Philadelphia, PA, USA

April 27, 1997

https://dl.acm.org/doi/book/10.5555/562056#secAbs

Concrete Mathematics: A Foundation for Computer Science

Authors: Ronald L. Graham, Donald E. Knuth, Oren Patashnik

January 1994

Addison-Wesley Longman Publishing Co, Inc

TeaseIn computer science and mathematics, the Josephus problem (or Josephus permutation) is a theoretical problem related to a certain counting-out game.

Excerpt from

Interesting Websites Nov 2018, Section 1.3: “Our final introductory example is a variant of an ancient problem named for Flavius Josephus, a famous historian of the first century. Legend has it that Josephus wouldn’t have lived to become famous without his mathematical talents. During the Jewish-Roman war, he was among a band of 41 Jewish rebels trapped in a cave by the Romans. Preferring suicide to capture, the rebels decided to form a circle and, proceeding around it, to kill every third remaining person until no one was left. But Josephus, along with an unindicted co-conspirator, wanted none of this suicide nonsense; so he quickly calculated where he and his friend should stand in the vicious circle.”Concrete Mathematics

https://en.wikipedia.org/wiki/Josephus_problem

https://www.maa.org/press/maa-reviews/visual-complex-analysis

Visual Complex Analysis

Author: Tristan Needham

2009

Oxford University Press

https://www.cs.purdue.edu/homes/dgleich/publications/Gleich 2005 – finite calculus.pdf

Finite Calculus: A Tutorial for Solving Nasty Sums

Author: David Gleich

January 17, 2005

https://www.amazon.com/Trachtenberg-Speed-System-Basic-Mathematics/dp/4871877094

The Trachtenberg Speed System of Basic Mathematics

Author: Jakow Trachtenberg, Translated and Adapted by Ann Cutler and Rudolph McShane

Doubleday & Company, 1960

CalculationsDo your best work,

Revisit next morning and edit out errors,

Revisit next week and edit out errors,

Revisit and run several arbitrary (though maybe realistic) test cases, edit out errors.

~~~

Imagine — in the 2020s, we can have Brian Greene as our private physics tutor.

**A wonderful gift!**

Thank you, Dr. Greene.KLH

Episode 01: Brian Greene kicks off Your Daily Equation with Albert Einstein’s famous equation E = mc2Your Daily Equation #1: E = mc2

#YourDailyEquation

3Blue1Brown3Blue1Brown

3Blue1Brown is a math YouTube channel created by Grant Sanderson. The channel focuses on teaching higher mathematics from a visual perspective, and on the process of discovery and inquiry-based learning in mathematics, which Sanderson calls “inventing math”.

Three Blue One Brown Feb 2019 (a previous post)