The Polyhedrists
DOWNLOAD
Download The Polyhedrists PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Polyhedrists book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Polyhedrists
DOWNLOAD
Author : Noam Andrews
language : en
Publisher: National Geographic Books
Release Date : 2022-05-03
The Polyhedrists written by Noam Andrews and has been published by National Geographic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-03 with Art categories.
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than mere follies from the dawn of perspective, at odds with a contemporary view of the Renaissance, and destined to be superseded by later developments in higher level mathematics.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.
Early Modern Print Media And The Art Of Observation
DOWNLOAD
Author : Stephanie A. Leitch
language : en
Publisher: Cambridge University Press
Release Date : 2024-04-04
Early Modern Print Media And The Art Of Observation written by Stephanie A. Leitch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-04 with Art categories.
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.
Sleight Of Mind
DOWNLOAD
Author : Matt Cook
language : en
Publisher: MIT Press
Release Date : 2021-08-03
Sleight Of Mind written by Matt Cook and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-03 with Mathematics categories.
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.
Reckonings
DOWNLOAD
Author : Stephen Chrisomalis
language : en
Publisher: MIT Press
Release Date : 2020-12-15
Reckonings written by Stephen Chrisomalis and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-15 with Mathematics categories.
Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors. Over the past 5,000 years, more than 100 methods of numerical notation--distinct ways of writing numbers--have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.
The Meaning Of Proofs
DOWNLOAD
Author : Gabriele Lolli
language : en
Publisher: MIT Press
Release Date : 2022-09-27
The Meaning Of Proofs written by Gabriele Lolli and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-27 with Mathematics categories.
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.
Greek Mathematical Thought And The Origin Of Algebra
DOWNLOAD
Author : Jacob Klein
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Greek Mathematical Thought And The Origin Of Algebra written by Jacob Klein and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
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.
Mage Merlin S Unsolved Mathematical Mysteries
DOWNLOAD
Author : Satyan Devadoss
language : en
Publisher: MIT Press
Release Date : 2021-08-24
Mage Merlin S Unsolved Mathematical Mysteries written by Satyan Devadoss and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-24 with Mathematics categories.
Sixteen of today's greatest unsolved mathematical puzzles in a story-driven, illustrated volume that invites readers to peek over the edge of the unknown. Most people think of mathematics as a set of useful tools designed to answer analytical questions, beginning with simple arithmetic and ending with advanced calculus. But, as Mage Merlin's Unsolved Mathematical Mysteries shows, mathematics is filled with intriguing mysteries that take us to the edge of the unknown. This richly illustrated, story-driven volume presents sixteen of today's greatest unsolved mathematical puzzles, all understandable by anyone with elementary math skills. These intriguing mysteries are presented to readers as puzzles that have time-traveled from Camelot, preserved in the notebook of Merlin, the wise magician in King Arthur's court. Our guide is Mage Maryam (named in honor of the brilliant young mathematician, the late Maryam Mirzakhani), a distant descendant of Merlin. Maryam introduces the mysteries--each of which is presented across two beautifully illustrated pages--and provides mathematical and historical context afterward. We find Merlin confronting mathematical puzzles involving tinker toys (a present for Camelot's princesses from the sorceress Morgana), cake-slicing at a festival, Lancelot's labyrinth, a vault for the Holy Grail, and more. Each mystery is a sword awaiting removal from its stone, capturing the beauty and power of mathematics.
Proof And The Art Of Mathematics
DOWNLOAD
Author : Joel David Hamkins
language : en
Publisher: MIT Press
Release Date : 2021-02-23
Proof And The Art Of Mathematics written by Joel David Hamkins and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-23 with Mathematics categories.
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.
Lectures On The Philosophy Of Mathematics
DOWNLOAD
Author : Joel David Hamkins
language : en
Publisher: MIT Press
Release Date : 2021-03-09
Lectures On The Philosophy Of Mathematics written by Joel David Hamkins and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-09 with Mathematics categories.
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.
Chinese Mathematics In The Thirteenth Century
DOWNLOAD
Author : Ulrich Libbrecht
language : en
Publisher: Courier Corporation
Release Date : 2005-01-01
Chinese Mathematics In The Thirteenth Century written by Ulrich Libbrecht and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.
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.