The Elements Of Non Euclidean Geometry By D M Y Sommerville
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The Elements Of Non Euclidean Geometry By D M Y Sommerville
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Author : Duncan M'Laren Young Sommerville
language : en
Publisher:
Release Date : 1958
The Elements Of Non Euclidean Geometry By D M Y Sommerville written by Duncan M'Laren Young Sommerville and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Geometry, Non-Euclidean categories.
The Elements Of Non Euclidean Geometry
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Author : D. M.Y. Sommerville
language : en
Publisher: Courier Corporation
Release Date : 2012-05-24
The Elements Of Non Euclidean Geometry written by D. M.Y. Sommerville and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-24 with Mathematics categories.
Renowned for its lucid yet meticulous exposition, this classic allows students to follow the development of non-Euclidean geometry from a fundamental analysis of the concept of parallelism to more advanced topics. 1914 edition. Includes 133 figures.
The Elements Of Non Euclidean Geometry
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Author : D. M. Y. Sommerville
language : en
Publisher:
Release Date : 1958
The Elements Of Non Euclidean Geometry written by D. M. Y. Sommerville and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.
Spherical Geometry And Its Applications
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Author : Marshall Whittlesey
language : en
Publisher: CRC Press
Release Date : 2019-11-14
Spherical Geometry And Its Applications written by Marshall Whittlesey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Mathematics categories.
Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The text can serve as a course in spherical geometry for mathematics majors. Readers from various academic backgrounds can comprehend various approaches to the subject. The book introduces an axiomatic system for spherical geometry and uses it to prove the main theorems of the subject. It also provides an alternate approach using quaternions. The author illustrates how a traditional axiomatic system for plane geometry can be modified to produce a different geometric world – but a geometric world that is no less real than the geometric world of the plane. Features: A well-rounded introduction to spherical geometry Provides several proofs of some theorems to appeal to larger audiences Presents principal applications: the study of the surface of the earth, the study of stars and planets in the sky, the study of three- and four-dimensional polyhedra, mappings of the sphere, and crystallography Many problems are based on propositions from the ancient text Sphaerica of Menelaus
Philosophical Problems Of Space And Time
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Author : Adolf Grünbaum
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Philosophical Problems Of Space And Time written by Adolf Grünbaum and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
It is ten years since Adolf Griinbaum published the first edition of this book. It was promptly recognized to be one of the few major works in the philosophy of the natural sciences of this generation. In part, this is so because Griinbaum has chosen a problem basic both to philosophy and to the natural sciences - the nature of space and time; and in part, this is so because he so admirably exemplifies that Aristotelian devotion to the intimate and mutual dependence of actual science and philosophical understanding. More than this, however, the quality of his work derives from his achievement in combining detail with scope. The problems of space and time have been among the most difficult in contemporary and classical thought, and Griinbaum has been responsible to the full depth and complexity of these difficulties. This revised and enlarged second edition is a work in progress, in the tradition of reflective analysis of modern science of such figures as Ehrenfest and Reichenbach. In publishing this work among the Boston Studies in the Philosophy of Science, we hope to contribute to and encourage that broad tradition of natural philosophy which is marked by the close collaboration of philoso phers and scientists. To this end, we have published the proceedings of our Colloquia, of meetings and conferences here and abroad, as well as the works of single authors.
The Beauty Of Geometry
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Author : H. S. M. Coxeter
language : en
Publisher: Courier Corporation
Release Date : 1999-01-01
The Beauty Of Geometry written by H. S. M. Coxeter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.
Absorbing essays demonstrate the charms of mathematics. Stimulating and thought-provoking treatment of geometry's crucial role in a wide range of mathematical applications, for students and mathematicians.
The Fifth Postulate
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Author : Jason Socrates Bardi
language : en
Publisher: Turner Publishing Company
Release Date : 2008-12-01
The Fifth Postulate written by Jason Socrates Bardi and has been published by Turner Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-01 with Mathematics categories.
The great discovery that no one wanted to make It's the dawn of the Industrial Revolution, and Euclidean geometry has been profoundly influential for centuries. One mystery remains, however: Euclid's fifth postulate has eluded for two thousand years all attempts to prove it. What happens when three nineteenth-century mathematicians realize that there is no way to prove the fifth postulate and that it ought to be discarded—along with everything they'd come to know about geometry? Jason Socrates Bardi shares the dramatic story of the moment when the tangible and easily understood world we live in gave way to the strange, mind-blowing world of relativity, curved space-time, and more. "Jason Socrates Bardi tells the story of the discovery of non-Euclidian geometry—one of the greatest intellectual advances of all time—with tremendous clarity and verve. I loved this book." —John Horgan, author, The End of Science and Rational Mysticism "An accessible and engrossing blend of micro-biography, history and mathematics, woven together to reveal a blockbuster discovery." —David Wolman, author of Righting the Mother Tongue and A Left-Hand Turn around the World
A New Perspective On Relativity
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Author : Bernard H. Lavenda
language : en
Publisher: World Scientific
Release Date : 2012
A New Perspective On Relativity written by Bernard H. Lavenda and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.
Starting off from noneuclidean geometries, apart from the method of Einstein's equations, this book derives and describes the phenomena of gravitation and diffraction. A historical account is presented, exposing the missing link in Einstein's construction of the theory of general relativity: the uniformly rotating disc, together with his failure to realize, that the Beltrami metric of hyperbolic geometry with constant curvature describes exactly the uniform acceleration observed. This book also explores these questions: * How does time bend? * Why should gravity propagate at the speed of light? * How does the expansion function of the universe relate to the absolute constant of the noneuclidean geometries? * Why was the Sagnac effect ignored? * Can Maxwell's equations accommodate mass? * Is there an inertia due solely to polarization? * Can objects expand in elliptic geometry like they contract in hyperbolic geometry?
Principles Of Geometry
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Author : Henry F. Baker
language : en
Publisher: CUP Archive
Release Date : 1954
Principles Of Geometry written by Henry F. Baker and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Duality theory (Mathematics) categories.
Geometry Topology And Dynamics Of Character Varieties
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Author : William Goldman
language : en
Publisher: World Scientific
Release Date : 2012
Geometry Topology And Dynamics Of Character Varieties written by William Goldman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This book aims to describe, for readers uneducated in science, the development of humanity's desire to know and understand the world around us through the various stages of its development to the present, when science is almost universally recognized - at least in the Western world - as the most reliable way of knowing. The book describes the history of the large-scale exploration of the surface of the earth by sea, beginning with the Vikings and the Chinese, and of the unknown interiors of the American and African continents by foot and horseback. After the invention of the telescope, visual exploration of the surfaces of the Moon and Mars were made possible, and finally a visit to the Moon. The book then turns to our legacy from the ancient Greeks of wanting to understand rather than just know, and why the scientific way of understanding is valued. For concreteness, it relates the lives and accomplishments of six great scientists, four from the nineteenth century and two from the twentieth. Finally, the book explains how chemistry came to be seen as the most basic of the sciences, and then how physics became the most fundamental.