Computational Discovery on Jupyter
About the book
This is an open educational resource on Computational Discovery on Jupyter. Comments welcome, to computational.discovery.jupyter@gmail.com, or you may fork the repository and make suggestions that way. This repository contains a series of Python-based Jupyter notebooks. The notebooks can be viewed online in a Jupyter book, or can be run on a local machine using Jupyter Notebook.
Topics
- Introduction to Programming using Python and Jupyter: Fibonacci Numbers
- Continued Fractions
- Rootfinding, Newton's Method, and Dynamical Systems
- Fractals and Julia Sets
- Bounded Height Matrices of Integers (Bohemian Matrices)
- Mandelbrot Polynomials and Matrices
- Chaos Game Representation
About the authors
Neil J. Calkin studied mathematics as an undergraduate at Trinity College, Cambridge, and received his Ph.D. in Combinatorics and Optimization from the University of Waterloo. In 1994, he co-founded the Electronic Journal of Combinatorics with Herbert S. Wilf. He is currently a Professor at Clemson University in the School of Mathematical and Statistical Sciences.
Eunice Y. S. Chan did her B.Sc., M.Sc., and Ph.D. in Applied Mathematics at Western University. She was a postdoctoral fellow at the Centre for Medical Evidence, Decision Integrity and Clinical Impact (MEDICI Centre), Department of Anesthesia and Perioperative Medicine, Schulich School of Medicine and Dentistry at Western University in London, Ontario. She is now Assistant Professor in the School of Medicine, The Chinese University of Hong Kong, Shenzhen, China.
Robert M. Corless did his B.Sc. in Mathematics and Computer Science at the University of British Columbia, his M.Math at Waterloo, and his PhD at UBC. He is Emeritus Distinguished University Professor at Western University, a member of the Rotman Institute of Philosophy, the Scientific Director of The Ontario Research Center for Computer Algebra and an Adjunct Professor at the Cheriton School of Computer Science, the University of Waterloo. He is the Editor-in-Chief of Maple Transactions.
Copyright
Text and images © 2022 Neil J. Calkin, Eunice Y. S. Chan, and Robert M. Corless under CC-BY-4.0
All programs and program snippets licenced under MIT License: Copyright 2022 Neil J. Calkin, Eunice Y. S. Chan, and Robert M. Corless
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.