Geometry, Relativity and the Fourth Dimension

Download Geometry, Relativity and the Fourth Dimension PDF Online Free

Author :
Publisher : Courier Corporation
ISBN 13 : 0486140334
Total Pages : 159 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!


Book Synopsis Geometry, Relativity and the Fourth Dimension by : Rudolf Rucker

Download or read book Geometry, Relativity and the Fourth Dimension written by Rudolf Rucker and published by Courier Corporation. This book was released on 2012-06-08 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fourth Dimension: Toward a Geometry of Higher Reality

Download The Fourth Dimension: Toward a Geometry of Higher Reality PDF Online Free

Author :
Publisher : Courier Corporation
ISBN 13 : 0486779785
Total Pages : 243 pages
Book Rating : 4.4/5 (867 download)

DOWNLOAD NOW!


Book Synopsis The Fourth Dimension: Toward a Geometry of Higher Reality by : Rudy Rucker

Download or read book The Fourth Dimension: Toward a Geometry of Higher Reality written by Rudy Rucker and published by Courier Corporation. This book was released on 2014-09-17 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fourth Dimension

Download The Fourth Dimension PDF Online Free

Author :
Publisher : Houghton Mifflin Harcourt
ISBN 13 : 9780395393888
Total Pages : 244 pages
Book Rating : 4.3/5 (938 download)

DOWNLOAD NOW!


Book Synopsis The Fourth Dimension by : Rudy von Bitter Rucker

Download or read book The Fourth Dimension written by Rudy von Bitter Rucker and published by Houghton Mifflin Harcourt. This book was released on 1985 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed description of what the fourth dimension would be like.

Shadows of Reality

Download Shadows of Reality PDF Online Free

Author :
Publisher : Yale University Press
ISBN 13 : 0300129629
Total Pages : 151 pages
Book Rating : 4.3/5 (1 download)

DOWNLOAD NOW!


Book Synopsis Shadows of Reality by : Tony Robbin

Download or read book Shadows of Reality written by Tony Robbin and published by Yale University Press. This book was released on 2008-10-01 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this insightful book, which is a revisionist math history as well as a revisionist art history, Tony Robbin, well known for his innovative computer visualizations of hyperspace, investigates different models of the fourth dimension and how these are applied in art and physics. Robbin explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. He compares the history of these two models and their uses and misuses in popular discussions. Robbin breaks new ground with his original argument that Picasso used the projection model to invent cubism, and that Minkowski had four-dimensional projective geometry in mind when he structured special relativity. The discussion is brought to the present with an exposition of the projection model in the most creative ideas about space in contemporary mathematics such as twisters, quasicrystals, and quantum topology. Robbin clarifies these esoteric concepts with understandable drawings and diagrams. Robbin proposes that the powerful role of projective geometry in the development of current mathematical ideas has been long overlooked and that our attachment to the slicing model is essentially a conceptual block that hinders progress in understanding contemporary models of spacetime. He offers a fascinating review of how projective ideas are the source of some of today’s most exciting developments in art, math, physics, and computer visualization.

The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition

Download The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition PDF Online Free

Author :
Publisher : MIT Press
ISBN 13 : 0262536552
Total Pages : 759 pages
Book Rating : 4.2/5 (625 download)

DOWNLOAD NOW!


Book Synopsis The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition by : Linda Dalrymple Henderson

Download or read book The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition written by Linda Dalrymple Henderson and published by MIT Press. This book was released on 2018-05-18 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.

A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)

Download A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry) PDF Online Free

Author :
Publisher :
ISBN 13 : 9780615750040
Total Pages : 92 pages
Book Rating : 4.7/5 (5 download)

DOWNLOAD NOW!


Book Synopsis A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry) by : Chris McMullen

Download or read book A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry) written by Chris McMullen and published by . This book was released on 2013-01-19 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This colorful, visual introduction to the fourth dimension provides a clear explanation of the concepts and numerous illustrations. It is written with a touch of personality that makes this an engaging read instead of a dry math text. The content is very accessible, yet at the same time detailed enough to satisfy the interests of advanced readers. This book is devoted to geometry; there are no spiritual or religious components to this book. May you enjoy your journey into the fascinating world of the fourth dimension! Contents: Introduction Chapter 0: What Is a Dimension? Chapter 1: Dimensions Zero and One Chapter 2: The Second Dimension Chapter 3: Three-Dimensional Space Chapter 4: A Fourth Dimension of Space Chapter 5: Tesseracts and Hypercubes Chapter 6: Hypercube Patterns Chapter 7: Planes and Hyperplanes Chapter 8: Tesseracts in Perspective Chapter 9: Rotations in 4D Space Chapter 10: Unfolding a Tesseract Chapter 11: Cross Sections of a Tesseract Chapter 12: Living in a 4D House Further Reading Glossary About the Author Put on your spacesuit, strap on your safety harness, swallow your anti-nausea medicine, and enjoy this journey into a fourth dimension of space! 10D, 9D, 8D, 7D, 6D, 5D, 4D, 3D, 2D, 1D, 0D. Blast off!

The Fourth Dimension Simply Explained

Download The Fourth Dimension Simply Explained PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis The Fourth Dimension Simply Explained by : Henry Parker Manning

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:

The Geometry of Special Relativity

Download The Geometry of Special Relativity PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1466510471
Total Pages : 151 pages
Book Rating : 4.4/5 (665 download)

DOWNLOAD NOW!


Book Synopsis The Geometry of Special Relativity by : Tevian Dray

Download or read book The Geometry of Special Relativity written by Tevian Dray and published by CRC Press. This book was released on 2012-07-02 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Gems of Geometry

Download Gems of Geometry PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642050921
Total Pages : 317 pages
Book Rating : 4.6/5 (42 download)

DOWNLOAD NOW!


Book Synopsis Gems of Geometry by : John Barnes

Download or read book Gems of Geometry written by John Barnes and published by Springer Science & Business Media. This book was released on 2009-12-17 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining many of the key concepts in the field, starting with the Golden Number and taking the reader on a geometrical journey via Shapes and Solids, through the Fourth Dimension, finishing up with Einstein's Theories of Relativity. Aimed at a general readership, the text makes accessible complex subjects such as Chaos and Fractals. It includes a wealth of the author's own illustrations and features appendices on related topics. Equally suitable as a gift for a youngster or as a nostalgic journey back into the world of mathematics for older readers, John Barnes' book is the perfect antidote for anyone whose maths lessons at school are a source of painful memories. Where once geometry was a source of confusion and frustration, Barnes brings enlightenment and entertainment.

The Life of Space

Download The Life of Space PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis The Life of Space by : Maurice Maeterlinck

Download or read book The Life of Space written by Maurice Maeterlinck and published by . This book was released on 1928 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spaceland

Download Spaceland PDF Online Free

Author :
Publisher : Macmillan + ORM
ISBN 13 : 1429980079
Total Pages : 313 pages
Book Rating : 4.4/5 (299 download)

DOWNLOAD NOW!


Book Synopsis Spaceland by : Rudy Rucker

Download or read book Spaceland written by Rudy Rucker and published by Macmillan + ORM. This book was released on 2003-07-04 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Joe Cube is a Silicon Valley hotshot--well, a would-be hotshot anyway--hoping that the 3-D TV project he's managing will lead to the big money IPO he's always dreamed of. On New Year's Eve, hoping to impress his wife, he sneaks home the prototype. It brings no new warmth to their cooling relationship, but it does attract someone else's attention. When Joe sees a set of lips talking to him (floating in midair) and feels the poke of a disembodied finger (inside him), it's not because of the champagne he's drunk. He has just met Momo, a woman from the All, a world of four spatial dimensions for whom our narrow world, which she calls Spaceland, is something like a rug, but one filled with motion and life. Momo has a business proposition for Joe, an offer she won't let him refuse. The upside potential becomes much clearer to him once she helps him grow a new eye (on a stalk) that can see in the fourth-dimensional directions, and he agrees. After that it's a wild ride through a million-dollar night in Las Vegas, a budding addiction to tasty purple 4-D food, a failing marriage, eye-popping excursions into the All, and encounters with Momo's foes, rubbery red critters who steal money, offer sage advice and sometimes messily explode. Joe is having the time of his life, until Momo's scheme turns out to have angles he couldn't have imagined. Suddenly the fate of all life here in Spaceland is at stake. Rudy Rucker is a past master at turning mathematical concepts into rollicking science fiction adventure, from Spacetime Donuts and White Light to The Hacker and the Ants. In the tradition of Edwin A. Abbott's classic novel, Flatland, Rucker gives us a tour of higher mathematics and visionary realities. Spaceland is Flatland on hyperdrive! At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

Infinity and the Mind

Download Infinity and the Mind PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 0691191255
Total Pages : pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!


Book Synopsis Infinity and the Mind by : Rudy Rucker

Download or read book Infinity and the Mind written by Rudy Rucker and published by Princeton University Press. This book was released on 2019-07-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.

Fourfield

Download Fourfield PDF Online Free

Author :
Publisher : Little Brown GBR
ISBN 13 : 9780821219096
Total Pages : 199 pages
Book Rating : 4.2/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Fourfield by : Tony Robbin

Download or read book Fourfield written by Tony Robbin and published by Little Brown GBR. This book was released on 1992 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses space in art and mathematics, the geometry of the fourth dimension, pattern recognition, time in space, and spatial concepts

Space and Time in the Modern Universe

Download Space and Time in the Modern Universe PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521214452
Total Pages : 244 pages
Book Rating : 4.2/5 (144 download)

DOWNLOAD NOW!


Book Synopsis Space and Time in the Modern Universe by : P. C. W. Davies

Download or read book Space and Time in the Modern Universe written by P. C. W. Davies and published by Cambridge University Press. This book was released on 1977-04-28 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surfing through Hyperspace

Download Surfing through Hyperspace PDF Online Free

Author :
Publisher : Oxford University Press
ISBN 13 : 0199923817
Total Pages : 266 pages
Book Rating : 4.1/5 (999 download)

DOWNLOAD NOW!


Book Synopsis Surfing through Hyperspace by : Clifford A. Pickover

Download or read book Surfing through Hyperspace written by Clifford A. Pickover and published by Oxford University Press. This book was released on 2001-05-17 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do a little armchair time-travel, rub elbows with a four-dimensional intelligent life form, or stretch your mind to the furthest corner of an uncharted universe. With this astonishing guidebook, Surfing Through Hyperspace, you need not be a mathematician or an astrophysicist to explore the all-but-unfathomable concepts of hyperspace and higher-dimensional geometry. No subject in mathematics has intrigued both children and adults as much as the idea of a fourth dimension. Philosophers and parapsychologists have meditated on this mysterious space that no one can point to but may be all around us. Yet this extra dimension has a very real, practical value to mathematicians and physicists who use it every day in their calculations. In the tradition of Flatland, and with an infectious enthusiasm, Clifford Pickover tackles the problems inherent in our 3-D brains trying to visualize a 4-D world, muses on the religious implications of the existence of higher-dimensional consciousness, and urges all curious readers to venture into "the unexplored territory lying beyond the prison of the obvious." Pickover alternates sections that explain the science of hyperspace with sections that dramatize mind-expanding concepts through a fictional dialogue between two futuristic FBI agents who dabble in the fourth dimension as a matter of national security. This highly accessible and entertaining approach turns an intimidating subject into a scientific game open to all dreamers. Surfing Through Hyperspace concludes with a number of puzzles, computer experiments and formulas for further exploration, inviting readers to extend their minds across this inexhaustibly intriguing scientific terrain.

The Fourth Dimension and the Bible

Download The Fourth Dimension and the Bible PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.3/5 (129 download)

DOWNLOAD NOW!


Book Synopsis The Fourth Dimension and the Bible by : William Anthony Granville

Download or read book The Fourth Dimension and the Bible written by William Anthony Granville and published by . This book was released on 1922 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Wild World of 4-Manifolds

Download The Wild World of 4-Manifolds PDF Online Free

Author :
Publisher : American Mathematical Society
ISBN 13 : 1470468611
Total Pages : 614 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis The Wild World of 4-Manifolds by : Alexandru Scorpan

Download or read book The Wild World of 4-Manifolds written by Alexandru Scorpan and published by American Mathematical Society. This book was released on 2022-01-26 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.