Pi (π) in Nature, Art, and Culture

Pi (π) in Nature, Art, and Culture PDF Author: Marcel Danesi
Publisher: BRILL
ISBN: 9004433392
Category : Mathematics
Languages : en
Pages : 144

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Book Description
In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.

Pi (π) in Nature, Art, and Culture

Pi (π) in Nature, Art, and Culture PDF Author: Marcel Danesi
Publisher: BRILL
ISBN: 9004433392
Category : Mathematics
Languages : en
Pages : 144

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Book Description
In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.

Nature and Culture : American Landscape and Painting, 1825-1875, With a New Preface

Nature and Culture : American Landscape and Painting, 1825-1875, With a New Preface PDF Author: Barbara Novak Altschul Professor of Art History Barnard College and Columbia University (Emerita)
Publisher: Oxford University Press, USA
ISBN: 0195345665
Category : Art
Languages : en
Pages : 328

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Book Description
In this richly illustrated volume, featuring more than fifty black-and-white illustrations and a beautiful eight-page color insert, Barbara Novak describes how for fifty extraordinary years, American society drew from the idea of Nature its most cherished ideals. Between 1825 and 1875, all kinds of Americans--artists, writers, scientists, as well as everyday citizens--believed that God in Nature could resolve human contradictions, and that nature itself confirmed the American destiny. Using diaries and letters of the artists as well as quotes from literary texts, journals, and periodicals, Novak illuminates the range of ideas projected onto the American landscape by painters such as Thomas Cole, Albert Bierstadt, Frederic Edwin Church, Asher B. Durand, Fitz H. Lane, and Martin J. Heade, and writers such as Ralph Waldo Emerson, Henry David Thoreau, and Frederich Wilhelm von Schelling. Now with a new preface, this spectacular volume captures a vast cultural panorama. It beautifully demonstrates how the idea of nature served, not only as a vehicle for artistic creation, but as its ideal form. "An impressive achievement." --Barbara Rose, The New York Times Book Review "An admirable blend of ambition, elan, and hard research. Not just an art book, it bears on some of the deepest fantasies of American culture as a whole." --Robert Hughes, Time Magazine

Humble Pi

Humble Pi PDF Author: Matt Parker
Publisher: Penguin
ISBN: 0593084691
Category : Mathematics
Languages : en
Pages : 337

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Book Description
#1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations—that also gives you permission to feel a little better about some of your own mistakes.” —Ryan North, author of How to Invent Everything Our whole world is built on math, from the code running a website to the equations enabling the design of skyscrapers and bridges. Most of the time this math works quietly behind the scenes . . . until it doesn’t. All sorts of seemingly innocuous mathematical mistakes can have significant consequences. Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean. Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

Poetic Logic and the Origins of the Mathematical Imagination

Poetic Logic and the Origins of the Mathematical Imagination PDF Author: Marcel Danesi
Publisher: Springer Nature
ISBN: 3031315820
Category : Mathematics
Languages : en
Pages : 180

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Book Description
This book treats eighteenth-century Italian philosopher Giambattista Vico’s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics. The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its “modifications” (his term for “creations”); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts—including mathematics—the mind has allowed humans to establish “the world of civil society,” Vico’s term for culture and civilization. The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly.

Mathematics and Art

Mathematics and Art PDF Author: Lynn Gamwell
Publisher: Princeton University Press
ISBN: 0691165289
Category : Art
Languages : en
Pages : 576

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Book Description
This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.

A History of Pi

A History of Pi PDF Author: Petr Beckmann
Publisher: Macmillan
ISBN: 0312381859
Category : Mathematics
Languages : en
Pages : 203

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Book Description
Traces the history of the mathematical constant pi from the stone age through the computer age, discussing the background of the times when pi progressed, and when it did not.

Art & Energy

Art & Energy PDF Author: Barry Lord
Publisher: Rowman & Littlefield
ISBN: 1933253940
Category : Business & Economics
Languages : en
Pages : 471

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Book Description
In Art & Energy, Barry Lord argues that human creativity is deeply linked to the resources available on Earth for our survival. From our ancient mastery of fire through our exploitation of coal, oil, and gas, to the development of today's renewable energy sources, each new source of energy fundamentally transforms our art and culture—how we interact with the world, organize our communities, communicate and conceive of and assign value to art. By analyzing art, artists, and museums across eras and continents, Lord demonstrates how our cultural values and artistic expression are formed by our efforts to access and control the energy sources that make these cultures possible.

Beyond Nature and Culture

Beyond Nature and Culture PDF Author: Philippe Descola
Publisher: University of Chicago Press
ISBN: 022614500X
Category : Social Science
Languages : en
Pages : 486

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Book Description
“Gives to anthropological reflection a new starting point and will become the compulsory reference for all our debates in the years to come.” —Claude Lévi-Strauss, on the French edition Beyond Nature and Culture has been a major influence in European intellectual life since its French publication in 2005. Here, finally, it is brought to English-language readers. At its heart is a question central to both anthropology and philosophy: what is the relationship between nature and culture? Culture—as a collective human making, of art, language, and so forth—is often seen as essentially different from nature, which is portrayed as a collective of the nonhuman world, of plants, animals, geology, and natural forces. Philippe Descola shows this essential difference to be not only a Western notion, but also a very recent one. Drawing on ethnographic examples from around the world and theoretical understandings from cognitive science, structural analysis, and phenomenology, he formulates a sophisticated new framework, the “four ontologies” —animism, totemism, naturalism, and analogism—to account for all the ways we relate ourselves to nature. By thinking beyond nature and culture as a simple dichotomy, Descola offers a fundamental reformulation by which anthropologists and philosophers can see the world afresh. “A compelling and original account of where the nature-culture binary has come from, where it might go—and what we might imagine in its place.” —Somatosphere “The most important book coming from French anthropology since Claude Lévi-Strauss’s Anthropologie Structurale.” —Bruno Latour, author of An Inquiry into Modes of Existence “Descola’s challenging new worldview should be of special interest to a wide range of scientific and academic disciplines from anthropology to zoology . . . Highly recommended.” —Choice

Femininity and Masculinity in Eighteenth-century Art and Culture

Femininity and Masculinity in Eighteenth-century Art and Culture PDF Author: Gillian Perry
Publisher: Manchester University Press
ISBN: 9780719042287
Category : Arts, Modern
Languages : en
Pages : 276

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Book Description
Focusing on the visual arts and written texts, this book explores the nature of femininity and masculinity in 18th-century Britain and France. The activities and collective conditions of women as producers of art and culture are investigated, together with analysis of representation and the ways in which it might be gendered. This illustrated book should make an important contribution to debates on representation, constructions of sexuality and women as producers.

Handbook of Cognitive Mathematics

Handbook of Cognitive Mathematics PDF Author: Marcel Danesi
Publisher: Springer Nature
ISBN: 3031039459
Category : Mathematics
Languages : en
Pages : 1392

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Book Description
Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.