Plane Networks and their Applications
Editorial Reviews
Book Description
This concise, fast-paced text introduces the concepts and applications behind plane networks. Currently, there is nothing in book form dealing with the topics covered in this work. The presentation unfolds in a systematic, user-friendly style and goes from the basics to cutting-edge research. Key features include: * presentation of the basics required: fundamental material from linear algebra and differential equations * examination of classical mathematical tools for analyzing discrete networks, followed by a well-developed theory, which is the continuous analogue of a discrete network * transition from the discrete to the continuous case, described via finite elements; Ch. 3 involves an analysis of linear operators, variational calculus, boundary value problems for PDEs, and Green's functions; Green's functions are the continuous analogue of the discrete error covariance functions, and form the basis for all types of error prediction * numerous examples and illustrations * techniques applied to leveling and other observation types of networks in one and two dimensions * several different applications of the continuous theory * practical problems, supported by MATLAB files, underscore the continuous theory; additional material can be downloaded from the author's website at www.kom.auc.dk/~borre/network * bibliography of recent results and index Plane Networks and their Applications is aimed at applied mathematicians, mechanical engineers, geodesists and graduate students, and should be an excellent text for self-study, classroom, or reference
Book Info
A concise textbook giving a fast-paced introduction to the concepts and applications behind plane networks. Topics covered include techniques applied to leveling and other observation types of one and two-dimensional networks, applications of the continuous theory, and an analysis of linear operators. DLC: Geodesy (Mathematics).
Plane Networks and their Applications,Kai Borre,Birkhauser,0817641939,Differential Geometry,Geodesics (Mathematics),Geometry - Differential,Mathematics,Science/Mathematics,Applied mathematics,Linear algebra,Mathematics / Applied,Mechanical Engineering & Materials,applied math/network theory,mechanical engineering,pdes
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