Figures in the Fourth Dimension
Author: Ellen Rixford
Publisher:
Published: 2015
Total Pages: 511
ISBN-13: 9780578158655
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Things to Make and Do in the Fourth Dimension
Author: Matt Parker
Publisher: Farrar, Straus and Giroux
Published: 2014-12-02
Total Pages: 465
ISBN-13: 0374710376
DOWNLOAD EBOOK →A book from the stand-up mathematician that makes math fun again! Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do—through its logical tools we are able to reach beyond our innate abilities and grasp more and more abstract concepts. In the absorbing and exhilarating Things to Make and Do in the Fourth Dimension, Parker sets out to convince his readers to revisit the very math that put them off the subject as fourteen-year-olds. Starting with the foundations of math familiar from school (numbers, geometry, and algebra), he reveals how it is possible to climb all the way up to the topology and to four-dimensional shapes, and from there to infinity—and slightly beyond. Both playful and sophisticated, Things to Make and Do in the Fourth Dimension is filled with captivating games and puzzles, a buffet of optional hands-on activities that entices us to take pleasure in math that is normally only available to those studying at a university level. Things to Make and Do in the Fourth Dimension invites us to re-learn much of what we missed in school and, this time, to be utterly enthralled by it.
The Fourth Dimension Simply Explained
Shadows of Reality
Author: Tony Robbin
Publisher: Yale University Press
Published: 2008-10-01
Total Pages: 151
ISBN-13: 0300129629
DOWNLOAD EBOOK →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
Dressage in the Fourth Dimension
Author: Sherry Ackerman
Publisher: New World Library
Published: 2010-09-07
Total Pages: 156
ISBN-13: 1577317289
DOWNLOAD EBOOK →Dressage is often seen as the most formal and controlled of the equine sports, following an ancient, standardized training progression. For philosopher and dressage instructor Dr. Sherry Ackerman, dressage is much more. It — along with riding in general — can be a transformational art and an avenue for reflection, exploration, and self-knowledge through which a rider can experience liberation from the individual, egoistic self. This second, revised edition of Dressage in the Fourth Dimension is a pioneer work in awakening “dressage consciousness.” Drawing on such diverse sources as sacred geometry, ancient Western and Eastern philosophies, and esoteric spirituality, Ackerman seeks to heal humanity’s alienation from nature through riding. She points us toward the liberation from societal conditioning and normative thinking, and, ultimately, from our own egos. Her concept of the fourth dimension requires us to leave the analytic, objective mind behind and enter into the mystery of inspiration. A short, unique, thought-provoking work that has enjoyed a word-of-mouth reputation among horse people for years, Dressage in the Fourth Dimension will challenge riders’ assumptions about their horses and themselves.
The Fourth Dimension
Author: Rudy von Bitter Rucker
Publisher: Houghton Mifflin Harcourt
Published: 1985
Total Pages: 244
ISBN-13: 9780395393888
DOWNLOAD EBOOK →A detailed description of what the fourth dimension would be like.
The Fourth Dimension: Toward a Geometry of Higher Reality
Author: Rudy Rucker
Publisher: Courier Corporation
Published: 2014-08-18
Total Pages: 240
ISBN-13: 0486798194
DOWNLOAD EBOOK →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 and the Bible
Author: William Anthony Granville
Publisher:
Published: 1922
Total Pages: 134
ISBN-13:
DOWNLOAD EBOOK →The Wild World of 4-Manifolds
Author: Alexandru Scorpan
Publisher: American Mathematical Society
Published: 2022-01-26
Total Pages: 614
ISBN-13: 1470468611
DOWNLOAD EBOOK →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.
