Download or read book The Polyhedrists written by Noam Andrews and published by National Geographic Books. This book was released on 2022-05-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A history of the relationship between art and geometry in the early modern period. In The Polyhedrists, Noam Andrews unfolds a history of the relationship between art and geometry in early modern Europe, told largely through a collective of ground-breaking artisan-artists (among them, Luca Pacioli, Albrecht Dürer, Wenzel Jamnitzer, and Lorentz Stöer) and by detailed analysis of a rich visual panoply of their work, featuring paintings, prints, decorative arts, cabinetry, and lavishly illustrated treatises. But this is also an art history of the polyhedra themselves, emblems of an evolving artistic intelligence, which include a varied set of geometrical figures—both Platonic, or regular, like the simple tetrahedron, and Archimedean, or irregular, like the complex yet beguiling rhombicosidodecahedron. Moreover, The Polyhedrists argues that the geometrical depictions of Dürer, Jamnitzer et al. were far more than mere follies from the dawn of perspective, at odds with a contemporary view of the Renaissance, and destined to be superseded by later developments in higher level mathematics. In fact, the evolution of the solids into innumerable “irregular bodies” constituted a sustained moment in the formulation of Renaissance mathematical knowledge and its engagement with materiality. This intense field of experimentation would birth a new language of geometrical abstraction that would ignite a century of novel form-making strategies, ultimately paving the way for developments in geometry and topology in the nineteenth and early twentieth centuries, and even prefiguring the more recent digital turn. The book, in this sense, is not just an applied history of geometry, nor a particular geometric reading of early modern art through some of its more celebrated practitioners, but a manifesto of sorts into the hitherto unexplored wilds of art and science.
Download or read book The Study written by Andrew Hui and published by Princeton University Press. This book was released on 2024-12-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "With the advent of the printing press in Europe, the possibility of assembling a personal library became more and more attainable for the cultural elite. In this book, Andrew Hui traces the historical development of the Renaissance studiolo, a personal study and library, from Petrarch to Montaigne, considering literary representations of the studiolo in Rabelais, Cervantes, Shakespeare, and Marlowe as well as its presence in the visual arts. He explores the ways in which Renaissance writers and scholars engaged with these personal libraries, both real and imaginary, as places for research and refuge, and the impact of their legacy on writers of our own age, such as Jorge Luis Borges and Italo Calvino. Hui is interested in how these workspaces shaped the interior lives of their occupants, and how the bookish sanctuary they offered was cast as both a remedy and a poison for the soul. Painters of the period, for example, depicted such Biblical figures as the Virgin Mary and St. Jerome in studies surrounded by books, and some writers extolled the studiolo as a space for salutary self-reflection. But other writers suggested that too much time spent reading and amassing books could lead to bibliomania: it drove Don Quixote to madness, Faustus to perdition, Prospero to exile. Individual chapters focus on the invention of the studiolo as seen through Federico da Montefeltro's Gubbio Studiolo and Raphael's School of Athens; Rabelais's parodies of erudition and classification; the transformation of private study into self-conscious spectacle in The Tempest; and more. While primarily drawing on works from Renaissance Europe, the chapters range across time and geography, incorporating a more global and comparative approach by drawing on texts from the classical tradition of China. Throughout the book, Hui weaves in accounts of his own life with books and libraries, arguing that to study the history of reading, scholars must also become aware of their own history of readings"--
Download or read book Sleight of Mind written by Matt Cook and published by MIT Press. This book was released on 2021-08-03 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This “fun, brain-twisting book . . . will make you think” as it explores more than 75 paradoxes in mathematics, philosophy, physics, and the social sciences (Sean Carroll, New York Times–bestselling author of Something Deeply Hidden). Paradox is a sophisticated kind of magic trick. A magician’s purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat. Yet paradox doesn’t require tangibles, like rabbits or hats. Paradox works in the abstract, with words and concepts and symbols, to create the illusion of contradiction. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. As each paradox is discussed and resolved, Cook helps readers discover the meaning of knowledge and the proper formation of concepts—and how reason can dispel the illusion of contradiction. The journey begins with “a most ingenious paradox” from Gilbert and Sullivan’s Pirates of Penzance. Readers will then travel from Ancient Greece to cutting-edge laboratories, encounter infinity and its different sizes, and discover mathematical impossibilities inherent in elections. They will tackle conundrums in probability, induction, geometry, and game theory; perform “supertasks”; build apparent perpetual motion machines; meet twins living in different millennia; explore the strange quantum world—and much more.
Download or read book Early Modern Print Media and the Art of Observation written by Stephanie A. Leitch and published by Cambridge University Press. This book was released on 2024-04-04 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early modern printmakers trained observers to scan the heavens above as well as faces in their midst. Peter Apian printed the Cosmographicus Liber (1524) to teach lay astronomers their place in the cosmos, while also printing practical manuals that translated principles of spherical astronomy into useful data for weather watchers, farmers, and astrologers. Physiognomy, a genre related to cosmography, taught observers how to scrutinize profiles in order to sum up peoples' characters. Neither Albrecht Dürer nor Leonardo escaped the tenacious grasp of such widely circulating manuals called practica. Few have heard of these genres today, but the kinship of their pictorial programs suggests that printers shaped these texts for readers who privileged knowledge retrieval. Cultivated by images to become visual learners, these readers were then taught to hone their skills as observers. This book unpacks these and other visual strategies that aimed to develop both the literate eye of the reader and the sovereignty of images in the early modern world.
Download or read book Proof and the Art of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-02-23 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to write mathematical proofs, shown in fully-worked out examples. This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks, "Once you have solved a problem, why not push the ideas harder to see what further you can prove with them?" These solutions offer readers examples of how to write a mathematical proofs. The mathematical development of this text follows the main book, with the same chapter topics in the same order, and all theorem and exercise numbers in this text refer to the corresponding statements of the main text.
Download or read book The Meaning of Proofs written by Gabriele Lolli and published by MIT Press. This book was released on 2022-09-27 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story. In The Meaning of Proofs, mathematician Gabriele Lolli argues that to write a mathematical proof is tantamount to inventing a story. Lolli offers not instructions for how to write mathematical proofs, but a philosophical and poetic reflection on mathematical proofs as narrative. Mathematics, imprisoned within its symbols and images, Lolli writes, says nothing if its meaning is not narrated in a story. The minute mathematicians open their mouths to explain something—the meaning of x, how to find y—they are framing a narrative. Every proof is the story of an adventure, writes Lolli, a journey into an unknown land to open a new, connected route; once the road is open, we correct it, expand it. Just as fairy tales offer a narrative structure in which new characters can be inserted into recurring forms of the genre in original ways, in mathematics, each new abstract concept is the protagonist of a different theory supported by the general techniques of mathematical reasoning. In ancient Greece, there was more than an analogy between literature and mathematics, there was direct influence. Euclid’s proofs have roots in poetry and rhetoric. Mathematics, Lolli asserts, is not the mere manipulation of formulas.
Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Download or read book Looking at History Through Mathematics written by Nicolas Rashevsky and published by MIT Press (MA). This book was released on 1968 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Greek Mathematical Thought and the Origin of Algebra written by Jacob Klein and published by Courier Corporation. This book was released on 2013-04-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Download or read book Geometry of Grief written by Michael Frame and published by University of Chicago Press. This book was released on 2021-09-08 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry -- Grief -- Beauty -- Story -- Fractal -- Beyond -- Appendix: More Math.
Download or read book Chinese Mathematics in the Thirteenth Century written by Ulrich Libbrecht and published by Courier Corporation. This book was released on 2005-01-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the life and work of the thirteenth-century mathematician Ch'in, this fascinating book examines a range of mathematical issues that reflect Chinese life of a millennium ago. Its first part consists of four closely related studies of Ch'in and his work. The first study brings together what is known of the mathematician's life and of the history of his only extant work, the Shu-shu chiu-chang. Subsequent studies examine the entire range of mathematical techniques and problems found within Ch'in's book. The core of this book consists of an in-depth study of what modern mathematicians still refer to as the Chinese remainder theorem for the solution of indeterminate equations of the first degree. This was Ch'in's most original contribution to mathematics--so original that no one could correctly explain Ch'in's procedure until the early nineteenth century. This volume's concluding study unites information on artisanal, economic, administrative, and military affairs dispersed throughout Ch'in's writings, providing rare insights into thirteenth-century China.
Download or read book Patterns of the Universe written by Alex Bellos and published by The Experiment. This book was released on 2015-12-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A coloring book that reveals math's hidden beauty and contemplative power as never before with 78 coloring designs and games that explore symmetry, fractals, tessellations, randomness, and more."--
Download or read book Karakuri written by Keisuke Saka and published by Macmillan. This book was released on 2010-03-16 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Japanese paper engineer Hosaka presents instructions for constructing four models: Tea-serving robot, Ready to fly, Peek-a-bear -- Wild Wild West.
Download or read book Who Built That Modern Houses written by Didier Cornille and published by Princeton Architectural Press. This book was released on 2014-09-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who Built That? Modern Houses takes readers on a fun-filled tour through ten of the most important houses by the greatest architects of the twentieth and twenty-first centuries. Beginning with a brief biographical sketch of each architect, illustrator Didier Cornille uses a light touch to depict the various stages of construction, paying special attention to key design innovations and signature details. Cornille's charming drawings and accessible text unlock the secrets of modern classic houses, ranging from Le Corbusier's Villa Savoye (1931) and Frank Lloyd Wright's Fallingwater (1939) to Shigeru Ban's Cardboard House (1995) and Rem Koolhaas's Bordeaux House (1998). Readers of all ages will delight in this colorful introduction to modern architecture's most extraordinary homes.
Download or read book The Boulevard Book written by Allan B. Jacobs and published by MIT Press. This book was released on 2003-08-29 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: A celebration of the multiway boulevard and an argument for its revival, with design guidelines and historic examples. First built in Europe and grandly imported to the United States in the mid-nineteenth century, the classic multiway boulevard has been in decline for many years, victim of a narrowly focused approach to street design that views unencumbered vehicular traffic flow as the highest priority. The American preoccupation with destination and speed has made multiway boulevards increasingly rare as artifacts of the urban landscape. This book reintroduces the boulevard, tree-lined and with separate realms for through traffic and for slow-paced vehicular-pedestrian movement, as an important and often crucial feature of both historic and contemporary cities. It presents more than fifty boulevards—as varied as Avenue Montaigne, in Paris; C. G. Road, in Ahmedabad, India; and The Esplanade, in Chico, California—celebrating their usefulness and beauty. It discusses their history and evolution, the misconceptions that led to their near-demise in the United States, and their potential as a modern street type. Based on wide research, The Boulevard Book examines the safety of these streets and offers design guidelines for professionals, scholars, and community decision makers. Extensive plans, cross sections, and perspective drawings permit visual comparisons. The book shows how multiway boulevards respond to many issues that are central to urban life, including livability, mobility, safety, interest, economic opportunity, mass transit, and open space.
Download or read book The Golden Ratio written by Steve Richards and published by Union Square & Company. This book was released on 2016-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The elegance of mathematics meets the creativity of art in this unique coloring book. The golden ratio is the mathematical equation that describes what many consider the "divine proportion," and it's found throughout nature, as well as in art and architecture. This stunning coloring book showcases the beauty of Fibonacci's most famous formula, exploring the many ways numbers and beauty combine. Logical and creative minds alike will enjoy filling in the spirals and designs in these remarkable images.
Download or read book Leibniz on Binary written by Lloyd Strickland and published by MIT Press. This book was released on 2022-10-25 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language. The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today’s digital computing. This book offers the first collection of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz’s original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz’s mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz’s development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age.
