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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.
A detailed description of what the fourth dimension would be like.
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.
Originally published: Boston: Houghton Mifflin, 1987.
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.
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.
In this sequel to The Fourth Dimension, Volume 1, Dr. David Yonggi Cho shows how you can develop the dynamic faith and true communion with God which overcome spiritual obstacles and surpass barriers.
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.
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 book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."