Download or read book Descartes on Polyhedra written by P. J. Federico and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present essay stems from a history of polyhedra from 1750 to 1866 written several years ago (as part of a more general work, not published). So many contradictory statements regarding a Descartes manuscript and Euler, by various mathematicians and historians of mathematics, were encountered that it was decided to write a separate study of the relevant part of the Descartes manuscript on polyhedra. The contemplated short paper grew in size, as only a detailed treatment could be of any value. After it was completed it became evident that the entire manuscript should be treated and the work grew some more. The result presented here is, I hope, a complete, accurate, and fair treatment of the entire manuscript. While some views and conclusions are expressed, this is only done with the facts before the reader, who may draw his or her own conclusions. I would like to express my appreciation to Professors H. S. M. Coxeter, Branko Griinbaum, Morris Kline, and Dr. Heinz-Jiirgen Hess for reading the manuscript and for their encouragement and suggestions. I am especially indebted to Dr. Hess, of the Leibniz-Archiv, for his assistance in connection with the manuscript. I have been greatly helped in preparing the translation ofthe manuscript by the collaboration of a Latin scholar, Mr. Alfredo DeBarbieri. The aid of librarians is indispensable, and I am indebted to a number of them, in this country and abroad, for locating material and supplying copies.
Download or read book Descartes on Polyhedra written by Pasquale Joseph Federico and published by . This book was released on 1982-01-01 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Polyhedra written by Peter R. Cromwell and published by Cambridge University Press. This book was released on 1997 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics an d group theory. This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra, and presenting a rigorous treatment of the mathematics involved. It is attractively illustrated with dozens of diagrams to illustrate ideas that might otherwise prove difficult to grasp. Historians of mathematics, as well as those more interested in the mathematics itself, will find this unique book fascinating.
Download or read book Descartes Euler Poincar P lya and Polyhedra written by Peter Hilton and published by . This book was released on 1990 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euler s Gem written by David S. Richeson and published by Princeton University Press. This book was released on 2019-07-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
Download or read book Polyhedra written by Anthony Pugh and published by Univ of California Press. This book was released on 1976 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Descartes s Mathematical Thought written by C. Sasaki and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
Download or read book Convex Polyhedra written by A.D. Alexandrov and published by Springer Science & Business Media. This book was released on 2005-12-08 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic geometry text explores the theory of 3-dimensional convex polyhedra in a unique fashion, with exceptional detail. Vital and clearly written, the book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. This edition includes a comprehensive bibliography by V.A. Zalgaller, and related papers as supplements to the original text.
Download or read book Ren Descartes Regulae Ad Directionem Ingenii written by and published by Oxford University Press. This book was released on 2023-04-06 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the text of a newly discovered manusript draft of Descartes's Regulae alongside the 1701 text, with full English translations of both versions. The draft manuscript sheds important light on the composition, date, and philosophical content of this profoundly original work.
Download or read book Ren Descartes Regulae ad directionem ingenii written by and published by Oxford University Press. This book was released on 2023-04-06 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: René Descartes's Regulae ad directionem ingenii ('Rules for the Direction of the Understanding') is his earliest surviving philosophical treatise, and in many respects his most puzzling text. It is a profoundly original work with few intellectual precursors, and offers the fullest account anywhere in Descartes's work of his theory of method. Yet Descartes left it unfinished, and unpublished, at his death in 1650. The versions currently known to modern readers are all posthumous: a manuscript copied for Leibniz in the late seventeenth century, a Dutch translation of 1684, and the version printed in 1701 in Amsterdam. As a result, the details and date of its composition, its fragmentary, unfinished state, and its philosophical content have long puzzled scholars. The discovery by Richard Serjeantson in 2011 of a previously unknown, early manuscript draft of the Regulae in Cambridge University Library was a hugely significant event in Cartesian scholarship. This edition presents the Cambridge manuscript of the Regulae alongside the 1701 Amsterdam version of the text to allow comparison between the early manuscript draft and the version best-known to modern readers, together with a full English translations of both texts. It is also the first critical edition of the Regulae to take into account the full range of textual witnesses to the text, both manuscript and printed. The new Cambridge manuscript sheds important light on the composition, date, and philosophical content of the Regulae, and will provoke scholars to rethink key questions about Descartes's early philosophical development.
Download or read book Descartes and the Ingenium written by Raphaële Garrod and published by BRILL. This book was released on 2020-11-23 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: A historically-informed account of the lasting importance of embodied thought in the intellectual trajectory of René Descartes, still remembered today as the founding father of dualism.
Download or read book Shaping Space written by Marjorie Senechal and published by Springer Science & Business Media. This book was released on 2013-03-22 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels—in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.
Download or read book Descartes s Imagination written by Dennis L. Sepper and published by Univ of California Press. This book was released on 1996-01-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A work of major importance for the interpretation of Descartes's development and for the understanding of the function of the imagination in Descartes's early works. Descartes's Imagination will be a must in Descartes and imagination studies. It is long overdue."--Eva T. H. Brann, author of The World of Imagination: Sum and Substance "A significant contribution to our understanding of the development of Descartes's philosophy."--William R. Shea, author of The Magic of Numbers and Motion: The Scientific Career of Rene Descartes
Download or read book Rorty written by Amélie Rorty and published by Univ of California Press. This book was released on 1986 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Math Book written by Clifford A. Pickover and published by Sterling Publishing Company, Inc.. This book was released on 2009 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.
Download or read book Symmetry 2 written by I. Hargittai and published by Elsevier. This book was released on 2016-02-25 with total page 1091 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry 2 aims to present an overview of the contemporary status of symmetry studies, particularly in the arts and sciences, emphasizing both its role and importance. Symmetry is not only one of the fundamental concepts in science, but is also possibly the best unifying concept between various branches of science, the arts and other human activities. Whereas symmetry has been considered important for centuries primarily for its aesthetic appeal, this century has witnessed a dramatic enhancement of its status as a cornerstone in the sciences. In addition to traditionally symmetry-oriented fields such as crystallography and spectroscopy, the concept has made headway in fields as varied as reaction chemistry, nuclear physics, and the study of the origin of the universe. The book was initiated in response to the success of the first volume, which not only received good reviews, but received the award for "The Best Single Issue of a Journal" by the Association of American Publishers for 1986. The second volume extends the application of symmetry to new fields, such as medical sciences and economics, as well as investigating further certain topics introduced in Symmetry. The book is extensively illustrated and with over 64 contributions from 16 countries presents an international overview of the nature and diversity of symmetry studies today.
Download or read book Locke and Cartesian Philosophy written by Philippe Hamou and published by Oxford University Press. This book was released on 2018-06-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents twelve original essays, by an international team of scholars, on the relation of John Locke's thought to Descartes and to Cartesian philosophers such as Malebranche, Clauberg, and the Port-Royal authors. The essays, preceded by a substantial introduction, cover a large variety of topics from natural philosophy to religion, philosophy of mind and body, metaphysics and epistemology. The volume shows that in Locke's complex relationship to Descartes and Cartesianism, stark opposition and subtle 'family resemblances' are tightly intertwined. Since the turn of the twentieth century, the theory of knowledge has been the main comparative focus. According to an influential historiographical conception, Descartes and Locke form together the spearhead in the 'epistemological turn' of early modern philosophy. In bringing together the contributions to this volume, the editors advocate for a shift of emphasis. A full comparison of Locke's and Descartes's positions should cover not only their theories of knowledge, but also their views on natural philosophy, metaphysics, and religion. Their conflicting claims on issues such as cosmic organization, the qualities and nature of bodies, the substance of the soul, and God's government of the world, are of interest not only in their own right, to take the full measure of Locke's complex relation to Descartes, but also as they allow a better understanding of the continuing epistemological debate between the philosophical heirs of these thinkers.
