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.
Download or read book Space Time and Einstein written by J. B. Kennedy and published by . This book was released on 2020-09-18 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Space, Time and Einstein by J. B. KennedyThis book is a threefold invitation to the philosophy of space andtime. It introduces - gently and simply - the new, revolutionary ideasof Einstein. It introduces the concepts and arguments of philosophers,both ancient and modern, which have proved of lasting value. Finally,it introduces the most recent discoveries and the debates raging now,in philosophy and physics, and points out how future developmentsmay unfold.The text does aim to teach one skill. Careful thinking is at the coreof our conception of philosophy. Now that many nations havereorganized themselves as democracies, which depend so much onreasoned debate and persuasion, careful thinking has become afoundation of our social and political lives as well. But clear thinkingis an art: it requires patience, practice and cultivation. This text doesnot teach or use formal logic, but it pays great attention to the careful analysis and interpretation of ideas. It slows down to dissect moment-ous claims and seeks out the hidden assumptions underlying the greatarguments of the past. It aims throughout to show how the analysis ofarguments deepens our appreciation of philosophy, and points theway towards future progress.This is a conservative text in the sense that it covers the standardtopics, outlines mainstream debates and introduces the views of someleading contemporary philosophers. Unusually, from the outset, itemphasizes the controversy between Einstein and Lorentz over theinterpretation of relativity (following essays by J. S. Bell and the moremathematical text by D. Bohm), which is now again a hot topic ofdebate. For accessibility, I have edited the quotations to conform to auniform terminology, ruthlessly preferred concrete over technicalterms (e.g. "rulers and clocks" rather than "reference frames") andpostponed all spacetime diagrams to an appendix. In general, I havefavoured bold, plausible claims and used the guide for further readingin Appendix E to point toward more advanced and nuanced litera-ture. This approach has worked well in courses I have taught atStanford University and the University of Notre Dame in the US andthe University of Manchester in the UK. There was no room forchapters on debates over space and time in the feminist philosophy ofscience and in art history, but some reference.
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.
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.
Download or read book The Fourth Dimension of Existence written by Nasr Saad and published by Createspace Independent Pub. This book was released on 2012-11-01 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the infinity of space to the eternity of time to the possibility of the afterlife, both science and religion have attempted to answer a number of existential quandaries about our place in the universe. Yet these perplexing puzzles cannot be solved by anything provided in our limited three dimensional perspective. This provocative book by atomic physicist Dr. Nasr Saad proposes that a fourth dimension of existence can provide the perspective and comprehension necessary to arrive at logical answers to the unanswered questions of our existence. The Fourth Dimension of Existence draws on Saad's unique education. He is schooled in both philosophy and theology alongside his rigorous training in atomic physics. “I was sure that rational answers could only come from a perfect synthesis of the methodologies of the three major disciplines of the human mind: science, philosophy, and religion,” says Saad. “Most of the times they are in open conflict with one another in their findings and their conclusions; however, this situation should not be the norm all the time; these disciplines are the product of the human reason and the human reason is one.” Saad feels that a thorough fusion of the methodologies of science, philosophy, and religion could yield logical answers to the questions humans have been asking themselves since the dawn of human consciousness. The author admits that the fourth dimension has a robust history of representation in science fiction. He mentions flatland and hyperspace among other fictional fourth dimensions to illustrate the rich and imaginative preoccupations of the human mind. He even explains the curved space-time fourth dimension that haunts the minds of “science fiction mathematicians.” The fourth dimension that preoccupies the author is not the fantastical sci-fi scenario of the popular imagination. Rather, it is an existential dimension that would provide us with the necessary distance to understand our own world and its heretofore unsolvable mysteries. He feels the search for such a dimension is not a pipe dream but can be carried out and executed by rational means. At the same time, we need to realize the fourth dimension would exist on principles completely unrelated to our own three-dimensional world. “It will provide a scientific explanation for the strong link that should exist between matter and spirit and between this life and our existence,” says Saad. “It will make us realize in a logical and powerful way how and why our life is short but our existence is not.” Despite these intriguing scenarios, Saad feels there remains a fourth existential dimension that can bring a rational explanation to all our perplexing questions. His book is a guide to this possible reality and the various ways it could be ascertained.
Download or read book A Primer of Higher Space the Fourth Dimension written by Claude Fayette Bragdon and published by . This book was released on 1913 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Sphereland written by Dionys Burger and published by . This book was released on 1983 with total page 208 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 1910 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book The Emergence of the Fourth Dimension written by Mark Blacklock and published by Oxford University Press. This book was released on 2018-04-05 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Emergence of the Fourth Dimension describes the development and proliferation of the idea of higher dimensional space in the late nineteenth- and early twentieth-centuries. An idea from mathematics that was appropriated by occultist thought, it emerged in the fin de siècle as a staple of genre fiction and influenced a number of important Modernist writers and artists. Providing a context for thinking of space in dimensional terms, the volume describes an active interplay between self-fashioning disciplines and a key moment in the popularisation of science. It offers new research into spiritualism and the Theosophical Society and studies a series of curious hybrid texts. Examining works by Joseph Conrad, Ford Madox Ford, H.G. Wells, Henry James, H. P. Lovecraft, and others, the volume explores how new theories of the possibilities of time and space influenced fiction writers of the period, and how literature shaped, and was in turn shaped by, the reconfiguration of imaginative space occasioned by the n-dimensional turn. A timely study of the interplay between philosophy, literature, culture, and mathematics, it offers a rich resource for readers interested in nineteenth century literature, Modernist studies, science fiction, and gothic scholarship.
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:
Download or read book Flatland A Romance of Many Dimensions written by Edwin Abbott Abbott and published by . This book was released on 2021-01-07 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Flatland, a place of two dimensions peopled by a hierarchy of geometrical forms, is the home of narrator A. Square, who takes a tour of his bizarre homeland. This tour provides a hilarious satire on Victorian society with questions about the nature of the universe.
Download or read book The Wild World of 4 Manifolds written by Alexandru Scorpan and published by American Mathematical Soc.. This book was released on 2005-05-10 with total page 642 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.
Download or read book The Fourth Dimension written by Charles Howard Hinton and published by . This book was released on 1906 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Four Dimensional Human Ways of Being in the Digital World written by Laurence Scott and published by W. W. Norton & Company. This book was released on 2016-08-09 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: You are a four-dimensional human. Each of us exists in three-dimensional, physical space. But, as a constellation of everyday digital phenomena rewires our lives, we are increasingly coaxed from the containment of our predigital selves into a wonderful and eerie fourth dimension, a world of ceaseless communication, instant information, and global connection. Our portals to this new world have been wedged open, and the silhouette of a figure is slowly taking shape. But what does it feel like to be four-dimensional? How do digital technologies influence the rhythms of our thoughts, the style and tilt of our consciousness? What new sensitivities and sensibilities are emerging with our exposure to the delights, sorrows, and anxieties of a networked world? And how do we live in public with these recoded private lives? Laurence Scott—hailed as a "New Generation Thinker" by the Arts and Humanities Research Council and the BBC—shows how this four-dimensional life is dramatically changing us by redefining our social lives and extending the limits of our presence in the world. Blending tech-philosophy with insights on everything from Seinfeld to the fall of Gaddafi, Scott stands with a rising generation of social critics hoping to understand our new reality. His virtuosic debut is a revelatory and original exploration of life in the digital age.
Download or read book Introduction to Tensor Analysis and the Calculus of Moving Surfaces written by Pavel Grinfeld and published by Springer Science & Business Media. This book was released on 2013-09-24 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem.
