Plane Networks and their Applications
Borre, Kai
ISBN 10: 0817641939 ISBN 13: 9780817641931
Published by Birkh?user, 2000
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2000. Hardcover. . . . . . Seller Inventory # V9780817641931
Synopsis:
Surely most geodesists have been occupied by seeking optimal shapes of a net work. I'm no exception. This book contains the more fruitful results on the topic. No matter how you choose to understand the adjective "optimal," it is no doubt useful as a beginning to understand error propagation in various types of net works. Basically, geodesists are familar with the actual, discrete network. So this book brings together some elementary means of analyzing networks with a few hundred points. The effectofchanging boundary conditions is especially studied. The variance propagation in the network is derived from covariance matrices. During a symposium in Oxford in 1973 geodesists were asking: Is it possible to create a special theory for geodetic networks? The key is that geodetic networks share a fundamental characteristic: The connections are local. Observations are taken between neighbors. The underlying graph has no edges connecting distant points. And we can obtain stable information about the global problem for the whole network by solving a simpler problem for a local neighborhood within the network. This bookalso deals with networktheory in acontinuousmode. When the num ber of points becomes very large, it is natural to look for a substitute for the dis crete method. The fruitful transition from discreteness to continuum is to let the distance between points tend to zero and at the same time boundcertain functions. A major step is to redefine the weights for all observationsas weightperunitarea.
Review:
"This concise book renders an advanced exposition of the theory of error propagation in geodetic networks that are comprised of up to a few hundred nodes... The reviewed book constitutes a timely and valuable contribution to the theory of plane geodetic network analysis and design. An outstanding feature of this book is the extensive use it makes of the nowadays easy availability of sophisticated automatic computing tools.”
― Mathematical Reviews
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Title: Plane Networks and their Applications
Publisher: Birkh?user
Publication Date: 2000
Binding: Hardcover
Condition: New
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This concise, fast-paced text introduces the concepts and applications behind plane networks. It presents fundamental material from linear algebra and differential equations, and offers several different applications of the continuous theory. Practical p. Seller Inventory # 5975699
Plane Networks and their Applications
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Buch. Condition: Neu. Plane Networks and their Applications | Kai Borre | Buch | xiii | Englisch | 2000 | Birkhäuser Boston | EAN 9780817641931 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 105414960
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Plane Networks and their Applications
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ISBN 10: 0817641939
ISBN 13: 9780817641931
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Surely most geodesists have been occupied by seeking optimal shapes of a net work. I'm no exception. This book contains the more fruitful results on the topic. No matter how you choose to understand the adjective 'optimal,' it is no doubt useful as a beginning to understand error propagation in various types of net works. Basically, geodesists are familar with the actual, discrete network. So this book brings together some elementary means of analyzing networks with a few hundred points. The effectofchanging boundary conditions is especially studied. The variance propagation in the network is derived from covariance matrices. During a symposium in Oxford in 1973 geodesists were asking: Is it possible to create a special theory for geodetic networks The key is that geodetic networks share a fundamental characteristic: The connections are local. Observations are taken between neighbors. The underlying graph has no edges connecting distant points. And we can obtain stable information about the global problem for the whole network by solving a simpler problem for a local neighborhood within the network. This bookalso deals with networktheory in acontinuousmode. When the num ber of points becomes very large, it is natural to look for a substitute for the dis crete method. The fruitful transition from discreteness to continuum is to let the distance between points tend to zero and at the same time boundcertain functions. A major step is to redefine the weights for all observationsas weightperunitarea.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 188 pp. Englisch. Seller Inventory # 9780817641931