The journey began at Folly Bridge near Oxford and ended five miles away in the village of Godstow. During the trip the Reverend Dodgson told the girls a story that featured a bored little girl named Alice who goes looking for an adventure. The girls loved it, and Alice Liddell asked Dodgson to write it down for her. He began writing the manuscript of the story the next day, although that earliest version no longer exists. The girls and Dodgson took another boat trip a month later when he elaborated the plot to the story of Alice, and in November he began working on the manuscript in earnest.
On 26 November 1864 he gave Alice the handwritten manuscript of Alice's Adventures Under Ground, with illustrations by Dodgson himself, dedicating it as "A Christmas Gift to a Dear Child in Memory of a Summer's Day". Some, including Martin Gardner, speculate there was an earlier version that was destroyed later by Dodgson when he wrote a more elaborate copy by hand.
But before Alice received her copy, Dodgson was already preparing it for publication and expanding the 15,500-word original to 27,500 words, most notably adding the episodes about the Cheshire Cat and the Mad Tea-Party.
Two fairy tales of English writer Lewis Carroll "Alice in Wonderland" and "Through the Looking-Glass, and What Alice Found There" (or "Alice in the World behind the looking-glass") already became long ago property of world culture. the founder of these fairy tales, Charlz Lyutvidzh Dodzhson acting in literature under a name of Lewis Carroll, was the professional mathematician who was much reflecting over various aspects of mathematics and problems adjacent to it which in the middle of the last century weren't