Likewise, I'm not sure it's on the list, but starship troopers has a kind of mathematics for government (the military dictatorship with citizen-by-merit is provably optimal, not just a random system).
It fictionalized "math" but still fits the generic idea, IMHO.
Where I'm more on the fence are about works that rely strongly on mathematical physics, like Poul Anderson's Tau Zero, or the parts of Pohl's Gateway series that most explicitly refer to black holes. I'd still say those are not "mathematical fiction", but at least it's close.
https://ja.wikipedia.org/wiki/%E6%B5%9C%E6%9D%91%E6%B8%9A%E3...
English summaries for each volume: https://uguu.org/words/math.html
I'd note: Greg Egan is pretty well (if not completely) represented, but how is Permutation City not on the list?!
Also: Neverness by David Zindell is extremely good. Almost certainly the best SF work of its decade. Very underrated.
And at least one of the recommended works -- The Devil and Simon Flagg -- is anthologize there.
Great write up here[1]
[1] https://www.researchgate.net/publication/252338100_Dante_and...
I'd add:
Jeffrey Kegler, The God Proof (novel about a lost manuscript of Kurt Gödel)
Norbert Wiener, The Tempter (novel about a patent troll math professor)
Martin Gardner, The Magic Numbers of Dr Matrix (other Martin Gardner books are there)
George Gamow, Mr. Tomkins in Wonderland (didactic about special relativity, there is other physics stuff on the list so why not)
Aleksandr Solzhenitsyn, The First Circle -- I haven't read this but I think it had a mathematician character
P. J. Plauger, Wet Blanket -- part of "Fighting Madness" series, about a physicst making universe-changing discoveries. The author is also a noted software developer who co-wrote at least two books with Brian Kernighan.
Maybe a bit out there, but Harry Potter and the Methods of Rationality, not mathematical per se but has mathematical asides, and is informed by statistics and game theory.
Others I'm not remembering, I'm sure.
In various venues, I explained that mathematicians don't have a lot of experience writing fiction. Other than grant proposals...
The reaction in my community, which I quite enjoyed, would disabuse anyone of the idea that mathematicians are less cripplingly conventional than other people. To the majority of mathematicians, pi is tied to the circle. A great UC Berkeley email thread speculated that I was trying to make Russell Crowe look like a fool.
People always are asking Ludwig to examine their child, who they think might be a prodigy. Ludwig always asks the children, 'what is the sum of all the numbers 1-20?' and/or '1-100?'. If they answer quickly, he asks for the sum of 1-100; if they don't answer that quickly, they fail the test. How does Ludwig know?
(If you look it up then you not only aren't a prodigy, you're a dumbass.)
https://www.nctm.org/Publications/TCM-blog/Blog/The-Story-of...
---------------
Three jolly sailors from Blandon-on-Tyne
Went to sea in a bottle by Klein
They found the view exceedingly dull
For the sea was entirely contained in the hull.
---------------
There was a young lady named Bright
Who traveled much faster than light
She departed one day
In a relative way
And returned the previous night.
-------------
There once was a fencer named Fisk
Whose movements were agile and brisk
So quick was his action
The Lorentz contraction
Diminished his sword to a disk.
--------------
(There's also a bawdy version of that somewhere, referring to a different "sword".)
"Very well. Let's have a love poem, lyrical, pastoral, and expressed in the language of pure mathematics. Tensor algebra mainly, with a little topology and higher calculus, if need be. But with feeling, you understand, and in the cybernetic spirit."
"Love and tensor algebra? Have you taken leave of your senses?" Trurl began, but stopped, for his electronic bard was already declaiming:
Come, let us hasten to a higher plane,
Where dyads tread the fairy fields of Venn,
Their indices bedecked from one to n,
Commingled in an endless Markov chain!
Come, every frustrum longs to be a cone,
And every vector dreams of matrices.
Hark to the gentle gradient of the breeze:
It whispers of a more ergodic zone.
In Riemann, Hilbert or in Banach space
Let superscripts and subscripts go their ways.
Our asymptotes no longer out of phase,
We shall encounter, counting, face to face.
I'll grant thee random access to my heart,
Thou'lt tell me all the constants of thy love;
And so we two shall all love's lemmas prove,
And in our bound partition never part.
For what did Cauchy know, or Christoffel,
Or Fourier, or any Boole or Euler,
Wielding their compasses, their pens and rulers,
Of thy supernal sinusoidal spell?
Cancel me not - for what then shall remain?
Abscissas some mantissas, modules, modes,
A root or two, a torus and a node
The inverse of my verse, a null domain.
Ellipse of bliss, converge, O lips divine!
The product of our scalars is defined!
Cyberiad draws nigh, and the skew mind
Cuts capers like a happy haversine.
I see the eigenvalue in thine eye,
I hear the tender tensor in thy sigh.
Bernoulli would have been content to die,
Had he but known such a^2 cos 2 phi!
-- Cyberiad. Stanislaw Lem
I just recall the (non-mathematical) poem about the haircut.
Certainly that section generally comes more to mind these days in the age of LLMs ..
The last one has the hero and heroine recruiting the spirit of Lobachevsky to help them recover their daughter from non-Euclidean hell.
pat_springleaf•1d ago
stiiv•1d ago
viccis•22h ago
Anyway, I will second the other reply's recommendation of Borges also with the caveat that he didn't write novels. His short stories are phenomenal. They are also a bit more philosophical than "mathematical", but some of them (like The Library of Babylon) deal a bit with the intersection of mathematical ideas (combinatorics and infinity in that one's case) with the way that playing with them would impact people and society.
The best advice for reading him would be, assuming you are reading in English, to pick up Penguin's Collected Fictions edition, containing a good translation of a lot of his short stories (and poetry as well). Skip past the first collection of short stories ("A Universal History of Iniquity") as it's pretty good but not his best. Start with the collection called "Fictions". Its first story is Tlön, Uqbar, Orbis Tertius, which gives you a good taste of how he writes.
pirp•15h ago
zem•4h ago