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Author:
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Languages : en
Pages : 174
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Author:
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Category :
Languages : en
Pages : 174
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Author: Mirek Hušek
Publisher:
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Category :
Languages : en
Pages : 173
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Category : Topology
Languages : en
Pages :
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Author: Mirek Hušek
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Category :
Languages : en
Pages :
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Category :
Languages : en
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Author: Mark Sioen
Publisher:
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Category :
Languages : en
Pages : 268
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Author: Christopher L. Douglas
Publisher: American Mathematical Soc.
ISBN: 1470418843
Category : Mathematics
Languages : en
Pages : 353
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Book Description
The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of this theory combines an algebro-geometric perspective on elliptic curves over finite fields with techniques from algebraic topology, particularly stable homotopy theory. It has applications to and connections with manifold topology, number theory, and string theory. This book provides a careful, accessible introduction to topological modular forms. After a brief history and an extended overview of the subject, the book proper commences with an exposition of classical aspects of elliptic cohomology, including background material on elliptic curves and modular forms, a description of the moduli stack of elliptic curves, an explanation of the exact functor theorem for constructing cohomology theories, and an exploration of sheaves in stable homotopy theory. There follows a treatment of more specialized topics, including localization of spectra, the deformation theory of formal groups, and Goerss-Hopkins obstruction theory for multiplicative structures on spectra. The book then proceeds to more advanced material, including discussions of the string orientation, the sheaf of spectra on the moduli stack of elliptic curves, the homotopy of topological modular forms, and an extensive account of the construction of the spectrum of topological modular forms. The book concludes with the three original, pioneering and enormously influential manuscripts on the subject, by Hopkins, Miller, and Mahowald.
Author: Eric D. Kolaczyk
Publisher: Springer Science & Business Media
ISBN: 0387881468
Category : Computers
Languages : en
Pages : 397
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Book Description
In recent years there has been an explosion of network data – that is, measu- ments that are either of or from a system conceptualized as a network – from se- ingly all corners of science. The combination of an increasingly pervasive interest in scienti c analysis at a systems level and the ever-growing capabilities for hi- throughput data collection in various elds has fueled this trend. Researchers from biology and bioinformatics to physics, from computer science to the information sciences, and from economics to sociology are more and more engaged in the c- lection and statistical analysis of data from a network-centric perspective. Accordingly, the contributions to statistical methods and modeling in this area have come from a similarly broad spectrum of areas, often independently of each other. Many books already have been written addressing network data and network problems in speci c individual disciplines. However, there is at present no single book that provides a modern treatment of a core body of knowledge for statistical analysis of network data that cuts across the various disciplines and is organized rather according to a statistical taxonomy of tasks and techniques. This book seeks to ll that gap and, as such, it aims to contribute to a growing trend in recent years to facilitate the exchange of knowledge across the pre-existing boundaries between those disciplines that play a role in what is coming to be called ‘network science.
Author: Annette W. Balkema
Publisher: Rodopi
ISBN: 9789042010970
Category : Art
Languages : en
Pages : 194
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Book Description
Advanced art education is in the process of developing research programs throughout Europe. What does the term research actually means in the practice of art? What is the relation to the scientific methods of alpha, beta or gamma sciences, directed toward knowledge production and the development of a certain scientific domaine? What will be the influence of scientific research on the art forms?
Author: Christopher Beorkrem
Publisher: Routledge
ISBN: 1136231749
Category : Architecture
Languages : en
Pages : 225
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Book Description
Author Christopher Beorkrem shows how material performance drives the digital fabrication process and determines technique. He has recreated and dissected thirty-six of the most progressive works of architecture of the last few years, with perspectives from the designers so that you can learn from the successes and failures of each project. Including step-by-step diagrams and using consistent language and the simplest construction techniques, he identifies the important characteristics of each material, including connection types, relative costs, deformation, color, texture, finish, dimensional properties, durability, and weathering and waterproofing to link the design outcomes to form. The book is divided into five parts by material – wood, metal, concrete, hybrids, and recycled – to help you reference construction techniques for the fabrication machines you have on-hand.
