What a difference a day makes [2]

How would our universe look like? It can't be infinite. Can it?

What a difference a day makes

Schnirelmann density

At last... a tool to measure the density of a sequence. Shnirelmann density. Will it help? Maybe, maybe. What caused my fascination for mathematics, in the first place? It must have been Spirograph.

Quaternions...!

This book attempts to teach you what an average math student learns in three years ( or more ). I suppose the difference between the bookreader and the student is that the bookreader has a bag full of tricks applicable for game coding while the mathematician has a configurable toolbox applicable almost in any field. The average Linear Algebra course takes a year. In this book? A few chapters, I suppose. All in all an excellent introductory math book with focus. The Final Test...Is the code for these amazing grativity balls somewhere in that book? Yep!

Grothendieck

... never heard of the man before in my life. He received a Fields medal in 1966, that's roughly equivalent to a Nobel Prize for mathematics. Silly me.

"...The mere enumeration of Grothendieck 's best known contributions is overwhelming: topological tensor products and nuclear spaces, sheaf cohomology as derived functors, schemes, K-theory and Grothendieck-Riemann-Roch, the emphasis on working relative to a base, defining and constructing geometric objects via the functors they are to represent, fibred categories and descent, stacks, Grothendieck topologies (sites) and topoi, derived categories, formalisms of local and global duality (the 'six operations'), étale cohomology and the cohomological interpretation of L-functions, crystalline cohomology, 'standard conjectures', motives and the 'yoga of weights', tensor categories and motivic Galois groups. It is difficult to imagine that they all sprang from a single mind. ..."

It looks as though I haven't got a clue to what mathematics ( algebra ) is about. It is however possible that the concepts are in my mind that I only have to match the words. Like with groups and rings. Once you understand the concept it becomes so trivial that you think you have always known what a group was, or a Galois group for that matter.

Erdos

"This one's from the Book!"

Paradox of Life...

Maybe Matthew R. Watkins is a true genious, perhaps someone who lost direction in his life. I feel as if I never had any direction in my life or am I still searching? That's a paradox since I have found what I have been looking for.

Don Knuth

Another series of videos from Knuth recorded in 1987. Why is he becoming more famous every day? Maybe because we are all getting older. So much older. What heroes are there for old men? ( Older heroes wanted. )

Games!

The Fibonacci Series

What a superb website. ( Sponsored by Oracle Education foundation. )

Collatz Conjecture

Once more...

"... Many mathematicians have attacked the problem with no result. Legend says scientists in Los Alamos spent a good deal of their time with it, instead of working on the atomic bomb! ..."