https://www.unsw.edu.au/science/our-schools/maths/engage-with-us/seminars/2025/A-hyper-Catalan-series-solution-to-polynomial-equations Hi there: I will be giving a talk in the Pure Maths seminar at UNSW on Tuesday May 13 at 12 pm (noon) in Room 4082, Anita B. Lawrence Building, UNSW Kensington. If you are interested, please come along! ABSTRACT: This is an exposition of work which recently…
Our paper A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode is now available at Taylor and Francis Online. It will appear next month in print form in the American Mathematical Monthly. Here is the link to the paper: https://www.tandfonline.com/doi/full/10.1080/00029890.2025.2460966 From the Abstract: The Catalan numbers 𝐶 𝑚 count the number of subdivisions of a polygon [ ]
I am happy to report that both video sites have had the contents restored. Many thanks to the folks at YouTube for their efforts in doing this, and especially a big thanks to John Fries for his heroic help. I am still working to clean up the Playlists, as they needed recreation. Also please note [ ]
Hello everyone. On 21 October 2024 my YouTube channels Insights into Mathematics and WIld Egg maths were hacked and the contents deleted. This is of course annoying, but rest assured that the gurus at YouTube will hopefully get around to reinstating things once I am able to explain things to them. In the meantime, I [ ]
There are several approaches to the modern theory of real numbers . Unfortunately, none of them makes complete sense. One hundred years ago, there was vigorous discussion about the ambiguities with them and Cantor s theory of infinite sets . As time went by, the debate subsided but the difficulties didn t really go away. A largely unquestioning uniformity [ ]
A few days ago I had an online conversation with Dr Daniel Rubin who is a mathematician living in the US and who works in analysis, geometry and approximation theory. The topic was one close to my heart: Daniel wanted to hear of my objections to the status quo concerning the foundations of modern analysis: [ ]
Hello Everyone the Algebraic Calculus One course is now live at https://www.openlearning.com/courses/algebraic-calculus-one/homepage/?cl=1 and you can find a welcome video at https://www.youtube.com/watch?v=1SFI9QbRpzg Here is the Welcome to the Course taken from it, and gives some information about it. Introduction and Welcome Hi everyone! Welcome to our course. I am Prof Norman Wildberger and I…
I am recently retired from 30 years at the University of New South Wales (UNSW) Sydney. But I don t plan on giving up on mathematics explanation and discovery any time soon it is just too much fun, and exciting. But to cement this new direction, I have decided to embark on an additional, quite [ ]
Hi everyone, I m Norman Wildberger, a soon-to-be retired professor of mathematics at UNSW in Sydney Australia, and I want to tell you about this channel which will introduce you to a wide variety of mathematical topics with a novel slant. The content is aimed at a very broad audience from everyday people with an interest [ ]
This month I am starting an experiment: developing a mostly rigorous course in Pure Mathematics meant for a very general audience of lay people, with only a high school background of mathematics. This course is called Six not the musical! because it is all about the magic and mystery of the number six, [ ]