"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 Gödel, 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.

"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 Gödel, 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.

Today, we have forgotten that mathematics was once aligned with the arts, rather than with the sciences. Literary Infinities analyses the connection between the late 19th-century revolution in the mathematics of the infinite and the literature of 20th-century modernism, opening up a novel path of influence and inquiry in modernist literature. Baylee Brits considers the role of numbers and the concept of the infinite in key modernists, including James Joyce, Italo Svevo, Jorge Luis Borges, Samuel Beckett and J.M. Coetzee. She begins by recuperating the difficult and rebellious German mathematician, Georg Cantor, for the broader artistic, cultural and philosophical project of modernism. Cantor revolutionized the mathematics of the infinite, creating reverberations across the numerical sciences, philosophy, religion and literary modernism. This 'modernist' infinity is shown to undergird and shape key innovations in narrative form, creating a bridge between the mathematical and the literary, presentation and representation, formalism and the tactile imagination.

Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This book is intended to contribute to grasping how much that is interesting and new is happening in the relationships between mathematics, imagination and culture. With a look at the past, at figures and events, that help to understand the phenomena of today. It is no coincidence that this volume contains an homage to the great Italian artist of the 1700s, Andrea Pozzo, and his perspective views. Theatre, art and architecture are the topics of choice, along with music, literature and cinema. No less important are applications of mathematics to medicine and economics. The treatment is rigorous but captivating, detailed but full of evocations, an all-embracing look at the world of mathematics and culture

Peters defines media expansively as elements that compose the human world. Drawing from ideas implicit in media philosophy, Peters argues that media are more than carriers of messages: they are the very infrastructures combining nature and culture that allow human life to thrive. Through an encyclopedic array of examples from the oceans to the skies,The Marvelous Clouds reveals the long prehistory of so-called new media. Digital media, Peters argues, are an extension of early practices tied to the establishment of civilization such as mastering fire, building calendars, reading the stars, creating language, and establishing religions. New media do not take us into uncharted waters, but rather confront us with the deepest and oldest questions of society and ecology: how to manage the relations people have with themselves, others, and the natural world.

“[A] lively account of the cultural and intellectual history of how Americans have lived with image and information since the mid-nineteenth century.” —Peter Simonson, author of Refiguring Mass Communication Sergey Brin, a cofounder of Google, once compared the perfect search engine to “the mind of God.” As the modern face of promiscuous knowledge, however, Google’s divine omniscience traffics in news, maps, weather, and porn indifferently. This book, begun by the late Kenneth Cmiel and completed by his close friend John Durham Peters, provides a genealogy of the information age from its early origins up to the reign of Google. It examines how we think about fact, image, and knowledge, centering on the different ways that claims of truth are complicated when they pass to a larger public. To explore these ideas, Cmiel and Peters focus on three main periods—the late nineteenth century, 1925 to 1945, and 1975 to 2000, with constant reference to the present. Cmiel’s original text examines the growing gulf between politics and aesthetics in postmodern architecture, the distancing of images from everyday life in magical realist cinema, the waning support for national betterment through taxation, and the inability of a single presentational strategy to contain the social whole. Peters brings Cmiel’s study into the present moment, providing the backstory to current controversies about the slipperiness of facts in a digital age. A hybrid work from two innovative thinkers, Promiscuous Knowledge enlightens our understanding of the internet and the profuse visual culture of our time. “With a clear voice and careful evidence, Promiscuous Knowledge offers fascinating glimpses into important people and practices from across the centuries.” —Fred Turner, author of From Counterculture to Cyberculture

Digital spaces are saturated with metaphor: we have pages, sites, mice, and windows. Yet, in the world of digital textuality, these metaphors no longer function as we might expect. Martin Paul Eve calls attention to the digital-textual metaphors that condition our experience of digital space, and traces their history as they interact with physical cultures. Eve posits that digital-textual metaphors move through three life phases. Initially they are descriptive. Then they encounter a moment of fracture or rupture. Finally, they go on to have a prescriptive life of their own that conditions future possibilities for our text environments—even when the metaphors have become untethered from their original intent. Why is "whitespace" white? Was the digital page always a foregone conclusion? Over a series of theses, Eve addresses these and other questions in order to understand the moments when digital-textual metaphors break and to show us how it is that our textual softwares become locked into paradigms that no longer make sense. Contributing to book history, literary studies, new media studies, and material textual studies, Theses on the Metaphors of Digital-Textual History provides generative insights into the metaphors that define our digital worlds.

This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education.​ Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.

Compelling tips and tricks to improve your mental skills Don't you wish you were just a little smarter? Ron and Marty Hale-Evans can help with a vast array of witty, practical techniques that tune your brain to peak performance. Founded in current research, Mindhacker features 60 tips, tricks, and games to develop your mental potential. This accessible compilation helps improve memory, accelerate learning, manage time, spark creativity, hone math and logic skills, communicate better, think more clearly, and keep your mind strong and flexible.

A New York Times Book Review Editors’ Choice “Wide-ranging and thoroughly winning.” —Jordan Ellenberg, The New York Times Book Review “An absolute joy to read!" —Steven Levitt, New York Times bestselling author of Freakonomics For fans of Seven Brief Lessons in Physics, an exploration of the many ways mathematics can transform our understanding of literature and vice versa, by the first woman to hold England's oldest mathematical chair. We often think of mathematics and literature as polar opposites. But what if, instead, they were fundamentally linked? In her clear, insightful, laugh-out-loud funny debut, Once Upon a Prime, Professor Sarah Hart shows us the myriad connections between math and literature, and how understanding those connections can enhance our enjoyment of both. Did you know, for instance, that Moby-Dick is full of sophisticated geometry? That James Joyce’s stream-of-consciousness novels are deliberately checkered with mathematical references? That George Eliot was obsessed with statistics? That Jurassic Park is undergirded by fractal patterns? That Sir Arthur Conan Doyle and Chimamanda Ngozi Adichie wrote mathematician characters? From sonnets to fairytales to experimental French literature, Professor Hart shows how math and literature are complementary parts of the same quest, to understand human life and our place in the universe. As the first woman to hold England’s oldest mathematical chair, Professor Hart is the ideal tour guide, taking us on an unforgettable journey through the books we thought we knew, revealing new layers of beauty and wonder. As she promises, you’re going to need a bigger bookcase.