Rob Corless, Editor-in-Chief Maple Transactions

This page provides links to my papers & other expositions; connective tissue for an internet world

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Maple Transactions

I am the Editor-in-Chief for Maple Transactions , a new open-access scholarly journal. The purpose of Maple Transactions is to disseminate excellent expositions on topics of interest to the Maple community. There are no page charges, and you need not use Maple to be published in this journal.

My current obsession: Bohemian Matrices

The Wikipedia entry on Bohemian Matrices

My new book, with Neil Calkin and Eunice Chan! Open access, Open Educational Resource version

Computational Discovery on Jupyter Chapter 5 (or is it Unit 5? With a Jupyter Book the old words for divisions of a book are a bit obsolete) covers Bohemian matrices at an entry level. The book has now been published by SIAM. You can find it at The SIAM Bookstore online

Jupyter and Maple

A version of the book using the Maple kernel for Jupyter notebooks is under construction. Here is one such notebook, which validates a hand computation of approximate zeros of the Fibonacci function.

An example Jupyter notebook linking to a Maple kernel.

Here is another, which is a paper in Maple transactions.

Two-cycles in the infinite exponential tower

The Computational Discovery on Jupyter Calendar 2024 is out! (Many images produced by the code from the book above)

Licensed under CC-by-SA 4.0.

Link to a PDF of the Computational Discovery on Jupyter Calendar 2024

For a description of the images, see the link to the CDJ repository

See for more information about Bohemian matrices.

Research Interests

I have three major overlapping research areas: computational dynamical systems, computational algebra, and computational special functions, each of which is used in scientific and engineering applications. My main overall concern is for the fidelity and reliability of these algorithms in actual applications. The main approach that I use is Computer-Mediated Thinking or Computational Discovery, or Computational Epistemology. That link goes to a paper describing that idea in a teaching context, but it is a much broader idea, namely that the combination of human plus computer, especially equipped with thin slices of Artificial Intelligence, can be better than the human alone.