Piecewise Linear Topology PDF Download

Author: John F. P. Hudson
Publisher:
ISBN:
Category : Piecewise linear topology
Languages : en
Pages : 304

View

Book Description

Author: Richard E. Groff
Publisher:
ISBN:
Category :
Languages : en
Pages : 314

View

Book Description

Author: Frank Dehne
Publisher: Springer Science & Business Media
ISBN: 9783540633075
Category : Computers
Languages : en
Pages : 492

View

Book Description
The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications.

Author: Melanie Ida Stein
Publisher:
ISBN:
Category :
Languages : en
Pages : 210

View

Book Description

Author: Nigel Higson
Publisher: OUP Oxford
ISBN: 0191589209
Category : Mathematics
Languages : en
Pages : 426

View

Book Description
Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with specacular success to discover remarkable theorems across a wide span of mathematics. The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop some of its applications. It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly maps, including a detailed treatment of the Atiyah-Singer Index Theorem. Beginning with the rudiments of C* - algebra theory, the book will lead the reader to some central notions of contemporary research in geometric functional analysis. Much of the material included here has never previously appeared in book form.

Author: Dongliang Peng
Publisher: BoD – Books on Demand
ISBN: 3958261043
Category : Computers
Languages : en
Pages : 154

View

Book Description
Maps are the main tool to represent geographical information. Users often zoom in and out to access maps at different scales. Continuous map generalization tries to make the changes between different scales smooth, which is essential to provide users with comfortable zooming experience. In order to achieve continuous map generalization with high quality, we optimize some important aspects of maps. In this book, we have used optimization in the generalization of land-cover areas, administrative boundaries, buildings, and coastlines. According to our experiments, continuous map generalization indeed benefits from optimization.

Author: Kenneth C. Millett
Publisher: American Mathematical Soc.
ISBN: 0821818538
Category : Mathematics
Languages : en
Pages : 81

View

Book Description
The geometrical techniques in piecewise linear topology are extended to the situation where one has a projection which must be preserved. These include general position, sunny collapsing and engulfing. They are employed to study the relative homotopy groups of the simplicial spaces of concordances and isotopies and, consequently, five a proff of a parameterized version of Hudson's concordance implies isotopy theorem.

Author: Peter Duren
Publisher: Springer Science & Business Media
ISBN: 1461206057
Category : Mathematics
Languages : en
Pages : 379

View

Book Description
In honor of Frederick W. Gehring on the occasion of his 70th birthday, an international conference on ""Quasiconformal mappings and analysis"" was held in Ann Arbor in August 1995. The 9 main speakers of the conference (Astala, Earle, Jones, Kra, Lehto, Martin, Pommerenke, Sullivan, and Vaisala) provide broad expository articles on various aspects of quasiconformal mappings and their relations to other areas of analysis. 12 other distinguished mathematicians contribute articles to this volume.

Author: Domine Leenaerts
Publisher: Springer Science & Business Media
ISBN: 1475761902
Category : Technology & Engineering
Languages : en
Pages : 202

View

Book Description
Piecewise Linear (PL) approximation of non-linear behaviour is a well-known technique in synthesis and analysis of electrical networks. However, the PL description should be efficient in data storage and the description should allow simple retrieval of the stored information. Furthermore, it would be useful if the model description could handle a large class of piecewise linear mappings. Piecewise Linear Modeling and Analysis explains in detail all possible model descriptions for efficiently storing piecewise linear functions, starting with the Chua descriptions. Detailed explanation on how the model parameter can be obtained for a given mapping is provided and demonstrated by examples. The models are ranked to compare them and to show which model can handle the largest class of PL mappings. All model descriptions are implicitly related to the Linear Complementarity Problem and most solution techniques for this problem, like Katzenelson and Lemke, are discussed according to examples that are explained in detail. To analyse PL electrical networks a simulator is mandatory. Piecewise Linear Modeling and Analysis provides a detailed outline of a possible PL simulator, including pseudo-programming code. Several simulation domains like transient, AC and distortion are discussed. The book explains the attractive features of PL simulators with respect to mixed-level and mixed-signal simulation while paying due regard also to hierarchical simulation. Piecewise Linear Modeling and Analysis shows in detail how many existing components in electrical networks can be modeled. These range from digital logic and analog basic elements such as transistors to complex systems like Phase-Locked Loops and detection systems. Simulation results are also provided. The book concludes with a discussion on how to find multiple solutions for PL functions or networks. Again, the most common techniques are outlined using clear examples. Piecewise Linear Modeling and Analysis is an indispensable guide for researchers and designers interested in network theory, network synthesis and network analysis.

Author: A. V. Arkhangelʹskiĭ
Publisher: American Mathematical Soc.
ISBN: 9780821817780
Category : Mathematics
Languages : en
Pages : 262

View

Book Description