Geometry, Relativity and the Fourth Dimension PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Geometry, Relativity and the Fourth Dimension PDF full book. Access full book title Geometry, Relativity and the Fourth Dimension by Rudolf Rucker. Download full books in PDF and EPUB format.
Author: Rudolf Rucker
Publisher: Courier Corporation
ISBN: 0486140334
Category : Science
Languages : en
Pages : 159
Get Book Here
Book Description
Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.
Author: Rudolf Rucker
Publisher: Courier Corporation
ISBN: 0486140334
Category : Science
Languages : en
Pages : 159
Get Book Here
Book Description
Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.
Author: Rudy Rucker
Publisher: Courier Corporation
ISBN: 0486798194
Category : Science
Languages : en
Pages : 243
Get Book Here
Book Description
One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the fourth dimension. Includes problems, puzzles, and 200 drawings. "Informative and mind-dazzling." — Martin Gardner.
Author: Rudy von Bitter Rucker
Publisher: Houghton Mifflin Harcourt
ISBN: 9780395393888
Category : Philosophy
Languages : en
Pages : 244
Get Book Here
Book Description
A detailed description of what the fourth dimension would be like.
Author: Linda Dalrymple Henderson
Publisher:
ISBN: 9780691101422
Category : Art
Languages : en
Pages : 453
Get Book Here
Book Description
The Description for this book, The Fourth Dimension And Non-Euclidean Geometry in Modern Art, will be forthcoming.
Author: Henry Parker Manning
Publisher:
ISBN:
Category : Fourth dimension
Languages : en
Pages : 266
Get Book Here
Book Description
Author: Tevian Dray
Publisher: CRC Press
ISBN: 1466510471
Category : Mathematics
Languages : en
Pages : 151
Get Book Here
Book Description
The Geometry of Special Relativity provides an introduction to special relativity that encourages readers to see beyond the formulas to the deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces the ubiquitous γ symbol of most standard treatments with the appropriate hyperbolic trigonometric functions. In most cases, this not only simplifies the appearance of the formulas, but also emphasizes their geometric content in such a way as to make them almost obvious. Furthermore, many important relations, including the famous relativistic addition formula for velocities, follow directly from the appropriate trigonometric addition formulas. The book first describes the basic physics of special relativity to set the stage for the geometric treatment that follows. It then reviews properties of ordinary two-dimensional Euclidean space, expressed in terms of the usual circular trigonometric functions, before presenting a similar treatment of two-dimensional Minkowski space, expressed in terms of hyperbolic trigonometric functions. After covering special relativity again from the geometric point of view, the text discusses standard paradoxes, applications to relativistic mechanics, the relativistic unification of electricity and magnetism, and further steps leading to Einstein’s general theory of relativity. The book also briefly describes the further steps leading to Einstein’s general theory of relativity and then explores applications of hyperbola geometry to non-Euclidean geometry and calculus, including a geometric construction of the derivatives of trigonometric functions and the exponential function.
Author: George Yuri Rainich
Publisher: Courier Corporation
ISBN: 0486783251
Category : Science
Languages : en
Pages : 193
Get Book Here
Book Description
Based on the ideas of Einstein and Minkowski, this concise treatment is derived from the author's many years of teaching the mathematics of relativity at the University of Michigan. Geared toward advanced undergraduates and graduate students of physics, the text covers old physics, new geometry, special relativity, curved space, and general relativity. Beginning with a discussion of the inverse square law in terms of simple calculus, the treatment gradually introduces increasingly complicated situations and more sophisticated mathematical tools. Changes in fundamental concepts, which characterize relativity theory, and the refinements of mathematical technique are incorporated as necessary. The presentation thus offers an easier approach without sacrifice of rigor. Dover (2014) republication of the edition published by John Wiley & Sons, New York, 1950. See every Dover book in print at www.doverpublications.com
Author: Rudy von Bitter Rucker
Publisher: Courier Corporation
ISBN: 9780486234007
Category : Science
Languages : en
Pages : 166
Get Book Here
Book Description
Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.
Author: Fabio Cardone
Publisher: Springer Science & Business Media
ISBN: 1402062834
Category : Science
Languages : en
Pages : 499
Get Book Here
Book Description
This volume provides a detailed discussion of the mathematical aspects and physical applications of a new geometrical structure of space-time, based on a generalization ("deformation") of the usual Minkowski space, as supposed to be endowed with a metric whose coefficients depend on the energy. This new five-dimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual Kaluza-Klein (KK) formalism.
Author: Alexandru Scorpan
Publisher: American Mathematical Society
ISBN: 1470468611
Category : Mathematics
Languages : en
Pages : 614
Get Book Here
Book Description
What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. —MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. — Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold—the intersection form—and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.
