Download or read book The Shape of Space written by Jeffrey R. Weeks and published by CRC Press. This book was released on 2001-12-12 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

Download or read book The Shape of Space written by Jeffrey R. Weeks and published by CRC Press. This book was released on 2001-12-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book What Shape Is Space written by Giles Sparrow and published by National Geographic Books. This book was released on 2018-10-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Light written by Lou Michel and published by Van Nostrand Reinhold Company. This book was released on 1995 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Shape of a Life written by Shing-Tung Yau and published by Yale University Press. This book was released on 2019-02-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book The Shape of Space written by Graham Nerlich and published by Cambridge University Press. This book was released on 1994-08-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a revised and updated edition of Graham Nerlich's classic book (1976). It develops a metaphysical account of space that treats it as a real and concrete entity, showing that shape plays a key explanatory role in space and spacetime theories. Arguing that geometrical explanation is very like causal explanation, Professor Nerlich prepares the ground for philosophical argument and investigates how different spaces would affect perception differently. Along the way Professor Nerlich criticizes and rejects conventionalism as a non-realist metaphysics of space, concluding that there is, in fact, no problem of underdetermination for this aspect of spacetime theories, while offering an extensive discussion of the relativity of motion.

Download or read book Symmetry Shape and Space written by L.Christine Kinsey and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Shape of My Heart written by Mark Sperring and published by Bloomsbury Publishing. This book was released on 2013-01-17 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world is filled with shapes. A bird, a car, the stars in the sky - what shapes can you see? Children will love spotting familiar shapes on every page. With bright illustrations and a heartwarming message about the shape of something very special - love. Brilliantly read by Katy Ashworth. Please note that audio is not supported by all devices, please consult your user manual for confirmation.

Download or read book Breathing Space written by Gregg Mitman and published by Yale University Press. This book was released on 2008-10-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Shape of the Roman Order written by Daniel J. Gargola and published by UNC Press Books. This book was released on 2017-02-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, a long-established view of the Roman Empire during its great age of expansion has been called into question by scholars who contend that this model has made Rome appear too much like a modern state. This is especially true in terms of understanding how the Roman government ordered the city--and the world around it--geographically. In this innovative, systematic approach, Daniel J. Gargola demonstrates how important the concept of space was to the governance of Rome. He explains how Roman rulers, without the means for making detailed maps, conceptualized the territories under Rome's power as a set of concentric zones surrounding the city. In exploring these geographic zones and analyzing how their magistrates performed their duties, Gargola examines the idiosyncratic way the elite made sense of the world around them and how it fundamentally informed the way they ruled over their dominion. From what geometrical patterns Roman elites preferred to how they constructed their hierarchies in space, Gargola considers a wide body of disparate materials to demonstrate how spatial orientation dictated action, shedding new light on the complex peculiarities of Roman political organization.

Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

Download or read book Introduction to Cities written by Xiangming Chen and published by John Wiley & Sons. This book was released on 2012-06-25 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete introduction to the history, evolution, and future of the modern city, this book covers a wide range of theory, including the significance of space and place, to provide a balanced account of why cities are an essential part of the global human experience. Covers a wide range of theoretical approaches to the city, from the historical to the cutting edge Emphasizes the important themes of space and place Offers a balanced account of cities and offers extensive coverage including urban inequality, environment and sustainability, and methods for studying the city Takes a global approach, with examples from Berlin and Chicago to Shanghai and Mumbai Includes a range of pedagogical features such as a substantial glossary of key terms, critical thinking questions, suggestions for further reading and a range of innovative textboxes which follow the themes of Exploring Further, Studying the City and Making the City Better Extensively illustrated with maps, charts, tables, and over 80 photographs Accompanied by a comprehensive student companion site featuring a list of relevant journals, a guide to useful web resources, and an annotated documentary film guide, alongside a useful instructor companion site with further examples, case studies, and discussion and essay questions; instructors will find a link to the instructor website on the student website at www.wiley.com/go/cities

Download or read book Shape and Shape Theory written by D. G. Kendall and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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/

Download or read book Space Taste and Affect written by Emily Falconer and published by Routledge. This book was released on 2020-08-31 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exploration of how time, space and social atmospheres contribute to the experience of taste. It demonstrates complex combinations of material, sensual and symbolic atmospheres and social encounters that shape this experience. Space, Taste and Affect brings together case studies from the fields of sociology, geography, history, psycho-social studies and anthropology to examine debates around how urban designers, architects and market producers manipulate the experience of taste through creating certain atmospheres. The book also explores how the experience of taste varies throughout life, or even during fleeting social encounters, challenging the sense of taste as static. This book moves beyond common narratives that taste is ‘acquired’ or developed, to emphasize the role of psycho-social histories of nostalgia, memories of childhood, migration, trauma and displacement in the experience of we eat and drink. It focuses on entrenched social dimensions of class, value and distinction instead of psychological and neuroscientific conceptualizations of taste and sensuous practices of consumption to be intrinsically linked to the experience of taste in complex ways. This book will appeal to undergraduate and postgraduate students of sociology, human geography, tourism and leisure studies, anthropology, psychology, arts and literature, architecture and urban design.

Download or read book Geometry with an Introduction to Cosmic Topology written by Michael P. Hitchman and published by Jones & Bartlett Learning. This book was released on 2009 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.

Download or read book Just Six Numbers written by Martin Rees and published by Basic Books. This book was released on 2008-08-04 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: DivThe genesis of the universe elegantly explained in a simple theory based on just six numbers by one of the world's most renowned astrophysicists/div