Download or read book Euclid s Heritage Is Space Three Dimensional written by P. Janich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a space, we get about in it. We also quantify it, we think of it as having dimensions. Ever since Euclid's ancient geometry, we have thought of bodies occupying parts of this space (including our own bodies), the space of our practical orientations (our 'moving abouts'), as having three dimensions. Bodies have volume specified by measures of length, breadth and height. But how do we know that the space we live in has just these three dimensions? It is theoreti cally possible that some spaces might exist that are not correctly described by Euclidean geometry. After all, there are the non Euclidian geometries, descriptions of spaces not conforming to the axioms and theorems of Euclid's geometry. As one might expect, there is a history of philosophers' attempts to 'prove' that space is three-dimensional. The present volume surveys these attempts from Aristotle, through Leibniz and Kant, to more recent philosophy. As you will learn, the historical theories are rife with terminology, with language, already tainted by the as sumed, but by no means obvious, clarity of terms like 'dimension', 'line', 'point' and others. Prior to that language there are actions, ways of getting around in the world, building things, being interested in things, in the more specific case of dimensionality, cutting things. It is to these actions that we must eventually appeal if we are to understand how science is grounded.
Download or read book Foundations of Three Dimensional Euclidean Geometry written by Izu Vaisman and published by CRC Press. This book was released on 2020-11-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents to the reader a modern axiomatic construction of three-dimensional Euclidean geometry in a rigorous and accessible form. It is helpful for high school teachers who are interested in the modernization of the teaching of geometry.
Download or read book Prolegomena to Analytical Geometry in Anisotropic Euclidean Space of Three Dimensions written by Eric Harold Neville and published by . This book was released on 1922 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Order in Three Dimensional Euclidean and Double Elliptic Spaces written by George Hervey Hallett and published by . This book was released on 1920 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Progress in Physics vol 1 2011 written by Dmitri Rabounski and published by Infinite Study. This book was released on with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Mathematics
Download or read book International Tables for Crystallography Mathematical Physical and Chemical Tables written by E. Prince and published by John Wiley & Sons. This book was released on 2004-01-16 with total page 1043 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science. Each of the volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials. Emphasis is given to symmetry, diffraction methods and techniques of crystal-structure determination, and the physical and chemical properties of crystals. The data are accompanied by discussions of theory, practical explanations and examples, all of which are useful for teaching. Volume C provides the mathematical, physical and chemical information needed for experimental studies in structural crystallography. This volume covers all aspects of experimental techniques, using all three principal radiation types (X-ray, electron and neutron), from the selection and mounting of crystals and production of radiation, through data collection and analysis, to interpretation of results. Each chapter is supported by a substantial collection of references, and the volume ends with a section on precautions against radiation injury. Eleven chapters have been revised, corrected or updated for the third edition of Volume C. More information on the series can be found at: http://it.iucr.org
Download or read book The Elements of Non Euclidean Geometry written by Duncan M'Laren Young Sommerville and published by . This book was released on 1914 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spaces of Constant Curvature written by Joseph Albert Wolf and published by American Mathematical Soc.. This book was released on 2011 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the sixth edition of the classic Spaces of Constant Curvature, first published in 1967, with the previous (fifth) edition published in 1984. It illustrates the high degree of interplay between group theory and geometry. The reader will benefit from the very concise treatments of riemannian and pseudo-riemannian manifolds and their curvatures, of the representation theory of finite groups, and of indications of recent progress in discrete subgroups of Lie groups. Part I is a brief introduction to differentiable manifolds, covering spaces, and riemannian and pseudo-riemannian geometry. It also contains a certain amount of introductory material on symmetry groups and space forms, indicating the direction of the later chapters. Part II is an updated treatment of euclidean space form. Part III is Wolf's classic solution to the Clifford-Klein Spherical Space Form Problem. It starts with an exposition of the representation theory of finite groups. Part IV introduces riemannian symmetric spaces and extends considerations of spherical space forms to space forms of riemannian symmetric spaces. Finally, Part V examines space form problems on pseudo-riemannian symmetric spaces. At the end of Chapter 12 there is a new appendix describing some of the recent work on discrete subgroups of Lie groups with application to space forms of pseudo-riemannian symmetric spaces. Additional references have been added to this sixth edition as well.
Download or read book The Fourth Dimension Simply Explained written by Henry Parker Manning and published by . This book was released on 1910 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Annals of Mathematics written by and published by . This book was released on 1919 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Fourth Dimension Simply Explained written by Henry Parker Manning and published by . This book was released on 1921 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Idealistic Reaction Against Science written by Antonio Aliotta and published by . This book was released on 1914 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclop dia Britannica written by Hugh Chisholm and published by . This book was released on 1926 with total page 1272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Wrinkle in Time written by Madeleine L'Engle and published by Farrar, Straus and Giroux (BYR). This book was released on 2010-04-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: NEWBERY MEDAL WINNER • TIME MAGAZINE’S 100 BEST FANTASY BOOKS OF ALL TIME • NOW A MAJOR MOTION PICTURE FROM DISNEY Read the ground-breaking science fiction and fantasy classic that has delighted children for over 60 years! "A Wrinkle in Time is one of my favorite books of all time. I've read it so often, I know it by heart." —Meg Cabot Late one night, three otherworldly creatures appear and sweep Meg Murry, her brother Charles Wallace, and their friend Calvin O'Keefe away on a mission to save Mr. Murray, who has gone missing while doing top-secret work for the government. They travel via tesseract--a wrinkle that transports one across space and time--to the planet Camazotz, where Mr. Murray is being held captive. There they discover a dark force that threatens not only Mr. Murray but the safety of the whole universe. A Wrinkle in Time is the first book in Madeleine L’Engle’s Time Quintet.
Download or read book Euclid Or Einstein written by Jeremiah Joseph Callahan and published by . This book was released on 1931 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry In Our Three dimensional World written by Alfred S Posamentier and published by World Scientific. This book was released on 2021-11-24 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses — this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.
Download or read book Geometry in Space written by R. C. J. Nixon and published by Forgotten Books. This book was released on 2015-06-26 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Geometry in Space: Containing Parts of Euclid's Eleventh and Twelfth Books; And Some Properties of Polyhedra and Solids of Revolution, With Exercises This little volume would have had its natural place as Part III of Euclid Revised, had not that Book extended to a quite sufficient size in its present form. But, mindful of the maxim - 'Great book, great evil' - the Editor thought that it would be better to make a separate volume of those parts of Euclid's Eleventh and Twelfth Books, which are, by common consent, desirable for a student; with such analogous additional matter as it might seem advisable to treat from a purely geometrical standpoint. There is too the additional reason for taking this course, that the number of those who extend the study of Geometry from two to three dimensions is few compared with the number who content themselves with what can be done in one plane. No doubt the conception of solid figures, beyond the very simplest, is difficult; and the graphic exhibition of them is perhaps more difficult still. Yet there can be no doubt also that the study of Pure Geometry in Space is of immense value, whether considered as a mental discipline, or with regard to its utility for other purposes. Respecting the range and amount of matter that should be included in a treatise designed to give an introduction to the purely geometrical treatment of figures in space, the Editor has had difficulty in coming to a decision ; and he would put forward what is here given as, to a considerable extent, tentative. Thus, for example, it was originally intended that there should be a separate chapter on Surface Spherics; but, on reflection, it appeared dubious whether such a chapter would not be a 'game not worth the candle'-adding to the expense of the book, and not really wanted. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
