Όσο ζούμε μαθαίνουμε,Διδάσκουμε και Διδασκόμαστε!

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Is there a mathematical fiction genre?

As an avid reader of science fiction, i  make some references to it as often as it is possible. However, this time i found myself  wondering: Is there an equivalent for mathematics? You know what happens next: i 'googled' it.
Among my findings was Alex Kasman (College of Charleston). What about this guy:  the database he created 'Mathematical fiction' looks so astonishing.
Moreover, his research area is just a huge awe. It's  on this `boundary' between mathematical physics and algebraic geometry.
Algebraic-geometry is an area of pure mathematics that is concerned with the geometric structure of objects determined by algebraic equations.
Mathematical physics is an applied area of mathematics that seeks to use the structures and tools of mathematics to understand things in the real world such as light waves, elementary particles, supernovas and rocket ships.
Until recently, these were two unrelated subjects because most of the equations in mathematical physics were differential equations, not algebraic equations.  As a result of recent advances though , we now know that there is a large and important intersection between these two subjects.  In fact, in the last thirty years, we have learned a great deal about each of these from studying the other.
  Alex Kasnan has written about :

  • The particle-like waves called `solitons'.
  • The symmetry of linear wave equations known as `bispectrality'
  • Algebro-geometric constructions for producing quantum integrable systems.
  • The geometry of Grassmannian manifolds and associated functions which satisfy nonlinear partial differential equations of mathematical physics
  • Classical and quantum integrable particle systems

and the interesting list goes on...but it's not our point right now, isn't it?
So lets come back to the mathematical fiction genre.
Another really precious discovery is 'Fantasia Mathematica' an anthology published in 1958 containing stories, humour,poems e.t.c. It contains writings by Robert Heinlein, Aldous Huxley, H.G. Wells and Martin Gardner.
If you try you could well find it online.
That's all folks.
Bon Appetit!!



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