Philosophy Of Geometry From Riemann To Poincare PDF Download
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Author | : R. Torretti |
Publisher | : Springer Science & Business Media |
Total Pages | : 473 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9400999097 |
Download Philosophy of Geometry from Riemann to Poincaré Book in PDF, ePub and Kindle
Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own metaphysical systems. But after the discovery of non-Euclidean geometries in the 19th century, the nature and scope of geometry became a bone of contention. Philosophical concern with geometry increased in the 1920's after Einstein used Riemannian geometry in his theory of gravitation. During the last fifteen or twenty years, renewed interest in the latter theory -prompted by advances in cosmology -has brought geometry once again to the forefront of philosophical discussion. The issues at stake in the current epistemological debate about geometry can only be understood in the light of history, and, in fact, most recent works on the subject include historical material. In this book, I try to give a selective critical survey of modern philosophy of geometry during its seminal period, which can be said to have begun shortly after 1850 with Riemann's generalized conception of space and to achieve some sort of completion at the turn of the century with Hilbert's axiomatics and Poincare's conventionalism. The philosophy of geometry of Einstein and his contemporaries will be the subject of another book. The book is divided into four chapters. Chapter 1 provides back ground information about the history of science and philosophy.
Author | : Roberto Torretti |
Publisher | : |
Total Pages | : |
Release | : 1978 |
Genre | : |
ISBN | : |
Download Philosophy of geometry from Riemann to Poincaré Book in PDF, ePub and Kindle
Author | : Peter Pesic |
Publisher | : Courier Corporation |
Total Pages | : 226 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 0486453502 |
Download Beyond Geometry Book in PDF, ePub and Kindle
Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This is the only English-language collection of these important papers, some of which are extremely hard to find. Contributors include Helmholtz, Klein, Clifford, Poincaré, and Cartan.
Author | : L. Magnani |
Publisher | : Springer Science & Business Media |
Total Pages | : 284 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9401096228 |
Download Philosophy and Geometry Book in PDF, ePub and Kindle
Philosophers have studied geometry since ancient times. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this fascinating story of human knowledge, providing a new analysis of the ideas of many scholars (including Plato, Proclus, Kant, and Poincaré), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive scientists, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are dealt with using a novel combination of both historical and contemporary perspectives. Philosophy and Geometry is a valuable contribution to the renaissance of research in the field.
Author | : Roberto Torretti |
Publisher | : Elsevier |
Total Pages | : 409 |
Release | : 2014-05-20 |
Genre | : Science |
ISBN | : 1483147371 |
Download Relativity and Geometry Book in PDF, ePub and Kindle
Relativity and Geometry aims to elucidate the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phases of relativity. The book contains seven chapters and a mathematical appendix. The first two chapters review a historical background of relativity. Chapter 3 centers on Einstein's first Relativity paper of 1905. Subsequent chapter presents the Minkowskian formulation of special relativity. Chapters 5 and 6 deal with Einstein's search for general relativity from 1907 to 1915, as well as some aspects and subsequent developments of the theory. The last chapter explores the concept of simultaneity, geometric conventionalism, and a few other questions concerning space time structure, causality, and time.
Author | : Luciano Boi |
Publisher | : Springer |
Total Pages | : 320 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : |
Download 1830-1930 Book in PDF, ePub and Kindle
In the first half of the 19th century geometry changed radically, and withina century it helped to revolutionize both mathematics and physics. It also put the epistemology and the philosophy of science on a new footing. In this volume a sound overview of this development is given by leading mathematicians, physicists, philosophers, and historians of science. This interdisciplinary approach gives this collection a unique character. It can be used by scientists and students, but it also addresses a general readership.
Author | : Lorenzo Magnani |
Publisher | : Springer Science & Business Media |
Total Pages | : 284 |
Release | : 2001-05-31 |
Genre | : History |
ISBN | : 9780792369332 |
Download Philosophy and Geometry Book in PDF, ePub and Kindle
The book also ties together the concerns of philosophers of science and cognitive science researchers, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are covered from a novel combination of both historical and contemporary perspectives."--Jacket.
Author | : Paul Carus |
Publisher | : |
Total Pages | : 162 |
Release | : 1908 |
Genre | : Geometry |
ISBN | : |
Download The Foundations of Mathematics Book in PDF, ePub and Kindle
Author | : Donal O'Shea |
Publisher | : Bloomsbury Publishing USA |
Total Pages | : 306 |
Release | : 2009-05-26 |
Genre | : Mathematics |
ISBN | : 0802718949 |
Download The Poincare Conjecture Book in PDF, ePub and Kindle
Henri Poincaré was one of the greatest mathematicians of the late nineteenth and early twentieth century. He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincaré conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point. Poincaré's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award. In telling the vibrant story of The Poincaré Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.
Author | : Henri Poincaré |
Publisher | : |
Total Pages | : 284 |
Release | : 1907 |
Genre | : Mathematics |
ISBN | : |
Download Science and Hypothesis Book in PDF, ePub and Kindle