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Home > Education > Mathematics > Shape and Shape Theory (Wiley Series in Probability and Statistics #500)
Shape and Shape Theory (Wiley Series in Probability and Statistics #500)
 
 
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Shape and Shape Theory (Wiley Series in Probability and Statistics #500)
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! ///


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Title of ebook: Shape and Shape Theory (Wiley Series in Probability and Statistics #500)
ISBN: 9780470317846
parent-ISBN: 9780471968238
Publisher: John Wiley & Sons, Ltd.
Internet download file size: 14317 kb
Published: 09-2009
Released online for download: 09-25-2009
Joint Author: Kendall, D. G.
Joint Author: Barden, D.
Joint Author: Carne, T. K.
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