Descartes On Polyhedra

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Descartes on Polyhedra

Author : P. J. Federico
Publisher : Springer Science & Business Media
ISBN 13 : 146125759X
Total Pages : 150 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Descartes on Polyhedra by : P. J. Federico

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.

Descartes on Polyhedra

Author : Pasquale Joseph Federico
Publisher :
ISBN 13 : 9783540907602
Total Pages : 145 pages
Book Rating : 4.9/5 (76 download)

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Book Synopsis Descartes on Polyhedra by : Pasquale Joseph Federico

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:

Descartes, Euler, Poincaré, Pólya and Polyhedra

Author : Peter Hilton
Publisher :
ISBN 13 : 9782862705637
Total Pages : 17 pages
Book Rating : 4.7/5 (56 download)

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Book Synopsis Descartes, Euler, Poincaré, Pólya and Polyhedra by : Peter Hilton

Download or read book Descartes, Euler, Poincaré, Pólya 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:

Polyhedra

Author : Peter R. Cromwell
Publisher : Cambridge University Press
ISBN 13 : 9780521664059
Total Pages : 498 pages
Book Rating : 4.6/5 (64 download)

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Book Synopsis Polyhedra by : Peter R. Cromwell

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.

Euler's Gem

Author : David S. Richeson
Publisher : Princeton University Press
ISBN 13 : 0691191999
Total Pages : 336 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Euler's Gem by : David S. Richeson

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.

Descartes’s Mathematical Thought

Author : C. Sasaki
Publisher : Springer Science & Business Media
ISBN 13 : 9401712255
Total Pages : 502 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Descartes’s Mathematical Thought by : C. Sasaki

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.

Convex Polyhedra

Author : A.D. Alexandrov
Publisher : Springer Science & Business Media
ISBN 13 : 3540263403
Total Pages : 545 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Convex Polyhedra by : A.D. Alexandrov

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.

Polyhedra

Author : Anthony Pugh
Publisher : Univ of California Press
ISBN 13 : 9780520029262
Total Pages : 136 pages
Book Rating : 4.0/5 (292 download)

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Book Synopsis Polyhedra by : Anthony Pugh

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:

Descartes and the Ingenium

Author : Raphaële Garrod
Publisher : BRILL
ISBN 13 : 9004437622
Total Pages : 253 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Descartes and the Ingenium by : Raphaële Garrod

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.

Descartes's Imagination

Author : Dennis L. Sepper
Publisher : Univ of California Press
ISBN 13 : 9780520200500
Total Pages : 344 pages
Book Rating : 4.2/5 (5 download)

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Book Synopsis Descartes's Imagination by : Dennis L. Sepper

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

René Descartes: Regulae Ad Directionem Ingenii

Author :
Publisher : Oxford University Press
ISBN 13 : 0199682941
Total Pages : 555 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis René Descartes: Regulae Ad Directionem Ingenii by :

Download or read book René 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.

Proofs and Refutations

Author : Imre Lakatos
Publisher : Cambridge University Press
ISBN 13 : 9780521290388
Total Pages : 190 pages
Book Rating : 4.2/5 (93 download)

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Book Synopsis Proofs and Refutations by : Imre Lakatos

Download or read book Proofs and Refutations written by Imre Lakatos and published by Cambridge University Press. This book was released on 1976 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.

The Geometry of René Descartes

Author : René Descartes
Publisher : Open Court
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Geometry of René Descartes by : René Descartes

Download or read book The Geometry of René Descartes written by René Descartes and published by Open Court. This book was released on 1925 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." -- John Stuart Mill.

A Mathematical Tapestry

Author : Peter Hilton
Publisher : Cambridge University Press
ISBN 13 : 1139489070
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis A Mathematical Tapestry by : Peter Hilton

Download or read book A Mathematical Tapestry written by Peter Hilton and published by Cambridge University Press. This book was released on 2010-07-22 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-read 2010 book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.

Handbook of Graph Theory, Second Edition

Author : Jonathan L. Gross
Publisher : CRC Press
ISBN 13 : 1439880182
Total Pages : 1634 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Graph Theory, Second Edition by : Jonathan L. Gross

Download or read book Handbook of Graph Theory, Second Edition written by Jonathan L. Gross and published by CRC Press. This book was released on 2013-12-17 with total page 1634 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition—over 400 pages longer than its predecessor—incorporates 14 new sections. Each chapter includes lists of essential definitions and facts, accompanied by examples, tables, remarks, and, in some cases, conjectures and open problems. A bibliography at the end of each chapter provides an extensive guide to the research literature and pointers to monographs. In addition, a glossary is included in each chapter as well as at the end of each section. This edition also contains notes regarding terminology and notation. With 34 new contributors, this handbook is the most comprehensive single-source guide to graph theory. It emphasizes quick accessibility to topics for non-experts and enables easy cross-referencing among chapters.

Theory and Applications of Graphs

Author : Y. Alavi
Publisher : Springer
ISBN 13 : 3540359125
Total Pages : 650 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Theory and Applications of Graphs by : Y. Alavi

Download or read book Theory and Applications of Graphs written by Y. Alavi and published by Springer. This book was released on 2006-11-14 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complexity in Economic and Social Systems

Author : Stanisław Drożdż
Publisher : MDPI
ISBN 13 : 3036507949
Total Pages : 534 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Complexity in Economic and Social Systems by : Stanisław Drożdż

Download or read book Complexity in Economic and Social Systems written by Stanisław Drożdż and published by MDPI. This book was released on 2021-05-11 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no term that better describes the essential features of human society than complexity. On various levels, from the decision-making processes of individuals, through to the interactions between individuals leading to the spontaneous formation of groups and social hierarchies, up to the collective, herding processes that reshape whole societies, all these features share the property of irreducibility, i.e., they require a holistic, multi-level approach formed by researchers from different disciplines. This Special Issue aims to collect research studies that, by exploiting the latest advances in physics, economics, complex networks, and data science, make a step towards understanding these economic and social systems. The majority of submissions are devoted to financial market analysis and modeling, including the stock and cryptocurrency markets in the COVID-19 pandemic, systemic risk quantification and control, wealth condensation, the innovation-related performance of companies, and more. Looking more at societies, there are papers that deal with regional development, land speculation, and the-fake news-fighting strategies, the issues which are of central interest in contemporary society. On top of this, one of the contributions proposes a new, improved complexity measure.