Shape And Space

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The Shape of Space

Author : Jeffrey R. Weeks
Publisher : CRC Press
Page : 405 pages
File Size : 52,9 Mb
Release : 2001-12-12
Category : Mathematics
ISBN : 9780203912669

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The Shape of Space by Jeffrey R. Weeks Pdf

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.

The Shape of Inner Space

Author : Shing-Tung Yau,Steven J. Nadis
Publisher : Il Saggiatore
Page : 398 pages
File Size : 47,5 Mb
Release : 2010-09-07
Category : Mathematics
ISBN : 9780465020232

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The Shape of Inner Space by Shing-Tung Yau,Steven J. Nadis Pdf

The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

Shapes, Space, and Symmetry

Author : Alan Holden
Publisher : Courier Corporation
Page : 218 pages
File Size : 42,5 Mb
Release : 1991-01-01
Category : Mathematics
ISBN : 0486268519

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Shapes, Space, and Symmetry by Alan Holden Pdf

Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.

What Shape Is Space?

Author : Giles Sparrow
Publisher : National Geographic Books
Page : 0 pages
File Size : 49,9 Mb
Release : 2018-10-23
Category : Science
ISBN : 9780500293669

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What Shape Is Space? by Giles Sparrow Pdf

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.

Symmetry, Shape and Space

Author : L.Christine Kinsey,Teresa E. Moore
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 45,7 Mb
Release : 2006-05-09
Category : Mathematics
ISBN : 1930190093

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Symmetry, Shape and Space by L.Christine Kinsey,Teresa E. Moore Pdf

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.

The Shape of Space

Author : Jeffrey R. Weeks
Publisher : CRC Press
Page : 408 pages
File Size : 54,9 Mb
Release : 2001-12-12
Category : Mathematics
ISBN : 1135542635

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The Shape of Space by Jeffrey R. Weeks Pdf

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.

Light

Author : Lou Michel
Publisher : Van Nostrand Reinhold Company
Page : 328 pages
File Size : 40,9 Mb
Release : 1995
Category : Architecture
ISBN : UOM:39015037279554

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Light by Lou Michel Pdf

The Shape of a Life

Author : Shing-Tung Yau,Steve Nadis
Publisher : Yale University Press
Page : 449 pages
File Size : 49,8 Mb
Release : 2019-02-19
Category : Science
ISBN : 9780300245523

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The Shape of a Life by Shing-Tung Yau,Steve Nadis Pdf

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

Mathematics Learning in Early Childhood

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics
Publisher : National Academies Press
Page : 399 pages
File Size : 46,7 Mb
Release : 2009-11-13
Category : Education
ISBN : 9780309147439

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Mathematics Learning in Early Childhood by National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics Pdf

Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Shape and Shape Theory

Author : D. G. Kendall,D. Barden,T. K. Carne,H. Le
Publisher : John Wiley & Sons
Page : 318 pages
File Size : 43,8 Mb
Release : 2009-09-25
Category : Mathematics
ISBN : 9780470317846

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Shape and Shape Theory by D. G. Kendall,D. Barden,T. K. Carne,H. Le Pdf

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/

Light: The Shape of Space

Author : Lou Michel
Publisher : John Wiley & Sons
Page : 328 pages
File Size : 43,7 Mb
Release : 1995-10-27
Category : Architecture
ISBN : 0471286184

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Light: The Shape of Space by Lou Michel Pdf

Light: The Shape of Space Designing with Space and Light Lou Michel Every design professional who touches a space shapes the light and the feeling of that space. Architect, lighting engineer, interior designer, lighting or home furnishing manufacturer: each contributes an aesthetic layer, sometimes yielding unexpected results. All too often the best laid plans of one professional are unintentionally subverted by another. Removing surprises and guess work from design, Lou Michel, honored architectural lighting educator, has created Light: The Shape of Space, showing how to design with the effects of light rather than light itself. The book is a revolutionary resource for all design professionals and manufacturers of surfacing materials. Drawing on over fifteen years’ experience of research and teaching in the architectural Space and Light Laboratory at The University of Kansas, Michel masterfully examines the interrelationship of lighting and the design of architectural space as perceived not in architectural photos or paint chips and fabric swatches, but by human vision — the gateway to emotional response. The book was written for professionals who care about how people feel in the spaces they design, and focuses on the humanization of architecture. Taking a non-stylistic approach to design, Michel analyzes architecture from the perspective of how the users see their surroundings as they move through space. The reader will learn what pleases and what disturbs people based on how the human visual system responds to color, texture, pattern, and brightness. The book features principles of design for the student and professional, and is generously supported by illustrations and research. Michel also provides a method for evaluating the visual effectiveness of building materials and lighting systems, including those that will appear on the market long after this book is dog-eared. Michel unveils a groundbreaking luminance brightness rating system (LBR) and a nine-zone brightness scale to aid designers in previsualizing the appearance of surfacing materials at every stage of the design process, from schematics to development to refinement. Among the topics treated are: the interaction of lighting and spatial design color theory for space and light the luminance relationships between free-standing objects and the surrounding spatial boundaries against which they are seen the appearance of building materials in color and brightness when modified by light and spatial location lighting spatial connections, including the perception of rooms adjacent to the observer lighting and perception of spaces screened by architectural grilles creating lighted space Designing with the effects of light is both an art and a science. No other book on the market bridges that gap as successfully as Light: The Shape of Space.

The Shape of Space

Author : Graham Nerlich
Publisher : Cambridge University Press
Page : 312 pages
File Size : 47,6 Mb
Release : 1994-08-04
Category : Science
ISBN : 0521450144

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The Shape of Space by Graham Nerlich Pdf

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.

The Little Book of Shape and Space

Author : Carole Skinner,Judith Dancer
Publisher : Bloomsbury Publishing
Page : 72 pages
File Size : 55,9 Mb
Release : 2015-06-04
Category : Education
ISBN : 9781472923431

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The Little Book of Shape and Space by Carole Skinner,Judith Dancer Pdf

This Little Book builds on children's natural enthusiasm and curiosity about shape and space. The hands-on, easy-to-follow experiences cover both 2D and 3D shapes and will inspire children to explore the spaces all around them in both indoor and outdoor play, and as they become familiar with the shapes and patterns in their every day environment.

How to be Brilliant at Shape and Space

Author : Beryl Webber,Terry Barnes
Publisher : Brilliant Publications
Page : 50 pages
File Size : 48,5 Mb
Release : 1995
Category : Education
ISBN : 9781897675076

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How to be Brilliant at Shape and Space by Beryl Webber,Terry Barnes Pdf

How to be Brilliant at Shape and Space contains 40 photocopiable worksheets designed to improve pupils' understanding of shape, their understanding of position and movement and their understanding of measure. They will learn about: angles; nets; Euler's formula; the Platonic solids; squares, triangles and quadrilaterals; parallel lines; lines of symmetry, and reflective and rotational symmetry.

Breathing Space

Author : Gregg Mitman
Publisher : Yale University Press
Page : 330 pages
File Size : 42,7 Mb
Release : 2008-10-01
Category : Science
ISBN : 9780300138320

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Breathing Space by Gregg Mitman Pdf

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.