"The Library of Babel" is arguably Jorge Luis Borges' best known story--memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G?del, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, information theory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literally unimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books. Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but also exposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

"Not many living artists would be sufficiently brave or inspired to attempt reflecting in art what Borges constructs in words. But the detailed, evocative etchings by Erik Desmazieres provide a perfect counterpoint to the visionary prose. Like Borges, Desmazieres has created his own universe, his own definition of the meaning, topography and geography of the Library of Babel. Printed together, with the etchings reproduced in fine-line duotone, text and art unite to present an artist's book that belongs in the circle of Borges's sacrosanct Crimson Hexagon - "books smaller than natural books, books omnipotent, illustrated, and magical.""--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

TAR FOR MORTAR offers an in-depth exploration of one of literature's greatest tricksters, Jorge Luis Borges. His short story "The Library of Babel" is a signature examplar of this playfulness, though not merely for the inverted world it imagines, where a library thought to contain all possible permutations of all letters and words and books is plumbed by pious librarians looking for divinely pre-fabricated truths. One must grapple as well with the irony of Borges's narration, which undermines at every turn its narrator's claims of the library's universality, including the very possibility of exhausting meaning through combinatory processing. Borges directed readers to his non-fiction to discover the true author of the idea of the universal library. But his supposedly historical essays are notoriously riddled with false references and self-contradictions. Whether in truth or in fiction, Borges never reaches a stable conclusion about the atomic premises of the universal library - is it possible to find a character set capable of expressing all possible meaning, or do these letters, like his stories and essays, divide from themselves in a restless incompletion? While many readers of Borges see him as presaging our digital technologies, they often give too much credit to our inventions in doing so. Those who elide the necessary incompletion of the Library of Babel compare it to the Internet on the assumption that both are total archives of all possible thought and expression. Though Borges's imaginings lend themselves to digital creativity (libraryofbabel.info is certainly evidence of this), they do so by showing the necessary incompleteness of every totalizing project, no matter how technologically refined. Ultimately, Basile nudges readers toward the idea that a fictional/imaginary exposition can hold a certain power over technology.

Borges and Mathematics is a short book of essays that explores the scientific thinking of the Argentine writer Jorge Luis Borges (1899-1986). Around half of the book consists of two "lectures" focused on mathematics. The rest of the book reflects on the relationship between literature, artistic creation, physics, and mathematics more generally. Written in a way that will be accessible even to those "who can only count to ten," the book presents a bravura demonstration of the intricate links between the worlds of sciences and arts, and it is a thought-provoking call to dialog for readers from both traditions. The author, Guillermo Mart nez, is both a recognized writer, whose murder mystery The Oxford Murders has been translated into thirty-five languages, and a PhD in mathematics. Contents: Borges and Mathematics: First Lecture; Borges and Mathematics: Second Lecture; The Golem and Artificial Intelligence; The Short Story as Logical System; A Margin Too Narrow; Euclid, or the Aesthetics of Mathematical Reasoning; Solutions and Disillusions; The Pythagorean Twins; The Music of Chance (Interview with Gregory Chaikin); Literature and Rationality; Who's Afraid of the Big Bad One?; A Small, Small God; God's Sinkhole. This book was originally published in Spanish as Borges y la matem tica (2003). It has been translated with generous support from the Latino Cultural Center at Purdue University.

Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions--and inspire more love and hatred--than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment--as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.

In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are similar to knights serving as messengers for their traveling prince. Ideal for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska's enlightening mathematics tour will appeal to a wide audience.

Includes the stories The Congress, Undr, The Mirror and the Mask, August 25, 1983, Blue Tigers, The Rose of Paracelsus and Shakespeare's Memory.