MATHEMATICAL FICTION:

a list compiled by Alex Kasman (College of Charleston)

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The Delta Function [La función delta] (1981)
Rosa Montero
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This Spanish novel addresses themes of sex and love, life and death, feminism and fame. To most readers, one of the most interesting thing about the book is its dual narrative, alternating between Lucia Ramos' life in 1980 when she is about to direct her first feature film and her life in 2010 when she is diagnosed with cancer. But, as far as this website is concerned the primary interest lies in the fact that one of young Lucia's two lovers is a math professor who discusses the delta functions that provide the book's title.

Of her two boyfriends, the one who is a math professor is the comfortable one, not the sexy one:

(quoted from The Delta Function [La función delta])

How I missed having Miguel’s ample mass spread out next to me! It is strange how I missed having sex with Hipolito but longed for Miguel’s physical embrace. Miguel had a huge embrace that could surround me completely. Miguel was also easy to undress, since he was always missing a few buttons lost long ago in some flurry and never replaced. More than once he had taught an entire hour of class at the university with his fly half-open, all the while facing the understanding smiles of his students.

Miguel was the epitome of the absent-minded professor. Time after time I played the same game with him, burrowing my hands “under his huge sweater, finding his shirt, buttonless as usual, and easily reaching his warm belly — which was just abundant enough to be soft and comfortable but not flabby.

At one point when Lucia is discussing the transitory nature of her emotional states, Miguel offers a mathematical analogy:

(quoted from The Delta Function [La función delta])

“Life certainly is precarious.”

“Precarious? What do you mean?”

“Just that,” I explained. “How our feelings, our actions are so precarious. There are moments in which we feel we are very intimate with someone, truly united with another person, and then the next moment we realize it was only an illusion, that we are completely alone. At times we think we are able to communicate with others, but a minute later we’re certain that communication is impossible. Doesn’t it happen to you? It does to me. There are times when I believe I care for someone, love them intensely, and then, an hour later, I realize I don’t really feel anything for them at all. And at times I am happy, at times I feel so alive, so happy, so content with my space in the world. But.those moments are very short, so short, and right away I find myself hanging in the void again. Do you understand? As if everything were absurd, unreal; as if the world were absolutely irrational and I were paralyzed and inept.”

The truth is, I told him all this not as a reflection that was strictly my own, but because I was eager to warn him that his lack of love for me at that time — if my intuition was correct — was quite normal and he shouldn’t give up but strengthen his will to con- tinue loving me. But my words seemed to have shaken him out of his lethargic state. He smiled with that pleased, candid expression I liked so much, leaned forward — resting inadvertently on the leftover lamb — and almost shouted with enthusiasm.

“Of course! That’s the delta function.”

“The what?”

“The delta function. You don’t know what it is? It’s a mathemati- cal function, from quantitative mechanics, a priceless function, one of the most beautiful ones there is . . .” (I have always been surprised by the concept of beauty scientists have, their aesthetic rapture in the face of complicated formulas.) “It is a function that describes discontinuous phenomena of great intensity but of very brief duration,” he continued. “That is, phenomena whose inten- sity extends toward infinity but whose duration is practically zero. If one could visualize it, it would look like a broken line of very sharp angles,” and as he said this, he sketched the outline of a saw with his hand in the thick, damp air. “Do you get it?” He leaned back again and sighed with contentment, brushing his curly bangs out of his eyes with the same hand he had used to draw invisible saws. “It was invented by an English mathematician named Dirac, who is very old now . . . It’s a lovely function, one of my favor- ites...”

If you change "quantitative mechanics" to "quantum mechanics" (probably a translation error), that's a reasonably good description of what delta functions are (see here) and a lovely metaphor in my opinion. The delta function comes up again later when older Lucia's boyfriend is skeptical of the veracity of that story. Lucia brings it up again later:

(quoted from The Delta Function [La función delta])

The house I was born in and which now survives only in my memories disappears. And in a few years, when Ricardo and Rosa and the others die, no one will know of my existence. It will be as though I was never even born. The stupid injustice of life. I have to finish writing my memoirs, I have to do it. So that some- thing of me is left to save part of me from the nothingness. To engrave in time those days during which I existed intensely, those acute moments of my Delta Function. I must finish my memoirs, I must outlive myself. Although, in reality, why does it matter? It is useless to write pages that won’t exist for me when I no longer exist.

The book was originally published in Spanish in 1981. The excerpts above are taken from a 1991 English translation published by the University of Nebraska Press in their European Women Writers Series.

More information about this work can be found at www.amazon.com.
(Note: This is just one work of mathematical fiction from the list. To see the entire list or to see more works of mathematical fiction, return to the Homepage.)

Works Similar to The Delta Function [La función delta]
According to my `secret formula', the following works of mathematical fiction are similar to this one:
  1. The Mind-Body Problem by Rebecca Goldstein
  2. The Mathematics of Nina Gluckstein by Esther Vilar
  3. Rough Strife by Lynne Sharon Schwartz
  4. Mister God, This is Anna by Fynn
  5. The Wild Numbers by Philibert Schogt
  6. Properties of Light by Rebecca Goldstein
  7. Probabilities by Michael Stein
  8. Amy and Isabelle by Elizabeth Strout
  9. Sad Strains of a Gay Waltz by Irene Dische
  10. Gambler's Rose by G.W. Hawkes
Ratings for The Delta Function [La función delta]:
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Mathematical Content:
1/5 (1 votes)
..
Literary Quality:
5/5 (1 votes)
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Categories:
Genre
MotifRomance,
Topic
MediumNovels,

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Exciting News: The 1,600th entry was recently added to this database of mathematical fiction! Also, for those of you interested in non-fictional math books let me (shamelessly) plug the recent release of the second edition of my soliton theory textbook.

(Maintained by Alex Kasman, College of Charleston)