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Author: Jeffrey R. Weeks
Publisher: CRC Press
ISBN: 9781135542634
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Author: Jeffrey R. Weeks
Publisher: CRC Press
ISBN: 9781135542634
Category : Mathematics
Languages : en
Pages : 408
Get Book
Book Description
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Author: Jeffrey R. Weeks
Publisher: CRC Press
ISBN: 0203912667
Category : Mathematics
Languages : en
Pages : 405
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Book Description
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Author: Shing-Tung Yau
Publisher: Il Saggiatore
ISBN: 0465020232
Category : Mathematics
Languages : en
Pages : 398
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Book Description
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Author: Giles Sparrow
Publisher: National Geographic Books
ISBN: 050029366X
Category : Science
Languages : en
Pages : 0
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Book Description
This fascinating entry in the “Big Idea” series is a well-informed, comprehensive and accessibly written look at the very nature of the universe. What Shape Is Space? is a question with far-reaching implications for our understanding of the very nature of reality and our place within it. The concepts involved may be sophisticated, but Giles Sparrow’s effortless prose style renders them understandable, allowing readers to come to grips with the overarching debates at the cutting edge of cosmology today. Illustrations, diagrams, and astronomical visualizations demonstrate and clarify the various astonishing implications of a universe of infinite space. This entry in the “Big Idea” series explores four key topics: “Mapping Space,” featuring the evidence that favors the expanding and infinite universe theory; “The Expanding Universe,” which examines the rate at which the cosmos is expanding; “The Omega Factor,” which explores the possibilities for different types of hypothetically infinite universes; and “The Shape of the Multiverse,” which analyzes the effect of each possible shape on the likely future of the universe. Well-informed and lucid, What Shape Is Space? is an in-depth and approachable exploration of the ideas and possibilities born from this seemingly simple question.
Author: L.Christine Kinsey
Publisher: Springer Science & Business Media
ISBN: 9781930190092
Category : Mathematics
Languages : en
Pages : 524
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Book Description
This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout.
Author: Lou Michel
Publisher: Van Nostrand Reinhold Company
ISBN:
Category : Architecture
Languages : en
Pages : 328
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Book Description
Author: Shing-Tung Yau
Publisher: Yale University Press
ISBN: 0300245521
Category : Science
Languages : en
Pages : 449
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Book Description
A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist
Author: Gregg Mitman
Publisher: Yale University Press
ISBN: 0300138326
Category : Science
Languages : en
Pages : 330
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Book Description
Allergy is the sixth leading cause of chronic illness in the United States. More than fifty million Americans suffer from allergies, and they spend an estimated $18 billion coping with them. Yet despite advances in biomedicine and enormous investment in research over the past fifty years, the burden of allergic disease continues to grow. Why have we failed to reverse this trend? Breathing Space offers an intimate portrait of how allergic disease has shaped American culture, landscape, and life. Drawing on environmental, medical, and cultural history and the life stories of people, plants, and insects, Mitman traces how America’s changing environment from the late 1800s to the present day has led to the epidemic growth of allergic disease. We have seen a never-ending stream of solutions to combat allergies, from hay fever resorts, herbicides, and air-conditioned homes to numerous potions and pills. But, as Mitman shows, despite the quest for a magic bullet, none of the attempted solutions has succeeded. Until we address how our changing environment—physical, biological, social, and economic—has helped to create America’s allergic landscape, that hoped-for success will continue to elude us.
Author: Cathryn Falwell
Publisher: Steck-Vaughn
ISBN: 9780618960255
Category :
Languages : en
Pages :
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Book Description
Author: D. G. Kendall
Publisher: John Wiley & Sons
ISBN: 0470317841
Category : Mathematics
Languages : en
Pages : 318
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Book Description
Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians, engineers and computer scientists. Mathematically, 'shape' is the geometrical information required to describe an object when location, scale and rotational effects are removed. The theory was pioneered by Professor David Kendall to solve practical problems concerning shape. This text presents an elegant account of the theory of shape that has evolved from Kendall's work. Features include: * A comprehensive account of Kendall's shape spaces * A variety of topological and geometric invariants of these spaces * Emphasis on the mathematical aspects of shape analysis * Coverage of the mathematical issues for a wide range of applications The early chapters provide all the necessary background information, including the history and applications of shape theory. The authors then go on to analyse the topic, in brilliant detail, in a variety of different shape spaces. Kendall's own procedures for visualising distributions of shapes and shape processes are covered at length. Implications from other branches of mathematics are explored, along with more advanced applications, incorporating statistics and stochastic analysis. Applied statisticians, applied mathematicians, engineers and computer scientists working and researching in the fields of archaeology, astronomy, biology, geography and physical chemistry will find this book of great benefit. The theories presented are used today in a wide range of subjects from archaeology through to physics, and will provide fascinating reading to anyone engaged in such research. Visit our web page! http://www.wiley.com/
