Descartes on Polyhedra PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Descartes on Polyhedra PDF full book. Access full book title Descartes on Polyhedra by P. J. Federico. Download full books in PDF and EPUB format.
Author: P. J. Federico
Publisher: Springer Science & Business Media
ISBN: 146125759X
Category : Mathematics
Languages : en
Pages : 150
Get Book
Book Description
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.
Author: P. J. Federico
Publisher: Springer Science & Business Media
ISBN: 146125759X
Category : Mathematics
Languages : en
Pages : 150
Get Book
Book Description
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.
Author: Pasquale Joseph Federico
Publisher:
ISBN: 9783540907602
Category : Polyhedra
Languages : en
Pages : 145
Get Book
Book Description
Author: Peter R. Cromwell
Publisher: Cambridge University Press
ISBN: 9780521664059
Category : Mathematics
Languages : en
Pages : 498
Get Book
Book Description
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.
Author: Peter Hilton
Publisher:
ISBN: 9782862705637
Category :
Languages : en
Pages : 17
Get Book
Book Description
Author: David S. Richeson
Publisher: Princeton University Press
ISBN: 0691191999
Category : Mathematics
Languages : en
Pages : 336
Get Book
Book Description
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.
Author: Anthony Pugh
Publisher: Univ of California Press
ISBN: 9780520029262
Category : Mathematics
Languages : en
Pages : 136
Get Book
Book Description
Author: C. Sasaki
Publisher: Springer Science & Business Media
ISBN: 9401712255
Category : Mathematics
Languages : en
Pages : 502
Get Book
Book Description
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.
Author: A.D. Alexandrov
Publisher: Springer Science & Business Media
ISBN: 3540263403
Category : Mathematics
Languages : en
Pages : 545
Get Book
Book Description
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.
Author:
Publisher: Oxford University Press
ISBN: 0199682941
Category :
Languages : en
Pages : 555
Get Book
Book Description
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.
Author:
Publisher: Oxford University Press
ISBN: 0192697072
Category : Philosophy
Languages : en
Pages : 555
Get Book
Book Description
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.
