Author: Duncan M'Laren Young SommervillePublisher:
ISBN: 9781418166205
Category :
Languages : en
Pages :
Book Description
The Elements of Non-Euclidean Geometry, by D. M. Y. Sommerville
Author: Duncan M'Laren Young SommervillePublisher:
ISBN: 9781418166205
Category :
Languages : en
Pages :
Book Description
The Elements of Non-Euclidean Geometry
Author: Duncan M'Laren Young SommervillePublisher:
ISBN:
Category : Bell's mathematical series for schools and colleges
Languages : en
Pages : 588
Book Description
The Elements of Non-Euclidean Geometry
Author: D. M.Y. SommervillePublisher: Courier Corporation
ISBN: 0486154580
Category : Mathematics
Languages : en
Pages : 290
Book Description
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.
Elementary Geometry in Hyperbolic Space
Author: Werner FenchelPublisher: Walter de Gruyter
ISBN: 3110849453
Category : Mathematics
Languages : en
Pages : 241
Book Description
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
A New Perspective on Relativity
Author: Bernard H. LavendaPublisher: World Scientific
ISBN: 9814340480
Category : Science
Languages : en
Pages : 695
Book Description
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: Plane geometry: conics, circles, non-Euclidean geometry
Author: Henry Frederick BakerPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 263
Book Description
Philosophical Problems of Space and Time
Author: Adolf GrünbaumPublisher: Springer Science & Business Media
ISBN: 940102622X
Category : Science
Languages : en
Pages : 903
Book Description
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.
Spherical Geometry and Its Applications
Author: Marshall A. WhittleseyPublisher: CRC Press
ISBN: 1000627527
Category : Mathematics
Languages : en
Pages : 262
Book Description
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
Analytical Geometry of Conic Sections and Elementary Solid Figures
Author: A. Barrie GrievePublisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 356
Book Description
Author: