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Author: Jeffrey R. Weeks
Publisher: CRC Press
ISBN: 0824748379
Category : Mathematics
Languages : en
Pages : 279
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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: 0824748379
Category : Mathematics
Languages : en
Pages : 279
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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: 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: 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: Thames & Hudson
ISBN: 0500774404
Category : Science
Languages : en
Pages : 234
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Book Description
What Shape is Space? is a question with surprisingly 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 Sparrows effortless prose style easily renders them understandable, allowing readers to get to grips with the overarching debates at the cutting edge of cosmology today. Infographics, diagrams and astronomical visualizations illustrate and clarify the various astonishing implications of a universe of infinite space.
Author: Lou Michel
Publisher: Van Nostrand Reinhold Company
ISBN:
Category : Architecture
Languages : en
Pages : 328
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Book Description
Author: Xiangming Chen
Publisher: John Wiley & Sons
ISBN: 1118261283
Category : Social Science
Languages : en
Pages : 508
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Book Description
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
Author: Graham Nerlich
Publisher: Cambridge University Press
ISBN: 9780521450140
Category : Science
Languages : en
Pages : 312
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Book Description
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.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309147433
Category : Education
Languages : en
Pages : 399
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Book Description
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.
Author: Cathryn Falwell
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 32
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Book Description
A young dancer dances her way among geometric shapes.
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/
