Introduction to Arrangements PDF Download
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Author: Peter Orlik
Publisher: American Mathematical Soc.
ISBN: 0821807234
Category : Mathematics
Languages : en
Pages : 122
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Book Description
An arrangement of hyperplanes is a finite collection of codimension one subspaces in a finite-dimensional vector space. Arrangements occur in several branches of mathematics: combinatorics, braids, hypergeometric functions, reflection groups, singularities, and coding theory. This book, based on lectures presented by the author at the CBMS Regional Conference held at Northern Arizona University in June 1988, provides the first introduction to the study of the topology of the complement of an arrangement in a complex vector space. The author discusses basic combinatorial tools, as well as algebras associated to the arrangement, differential forms, the cohomology and the homotopy type of the complement, free arrangements, and reflection arrangements. With a particular emphasis on topological aspects, this book provides an excellent introduction to current activity in this area.
Author: Peter Orlik
Publisher: American Mathematical Soc.
ISBN: 0821807234
Category : Mathematics
Languages : en
Pages : 122
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Book Description
An arrangement of hyperplanes is a finite collection of codimension one subspaces in a finite-dimensional vector space. Arrangements occur in several branches of mathematics: combinatorics, braids, hypergeometric functions, reflection groups, singularities, and coding theory. This book, based on lectures presented by the author at the CBMS Regional Conference held at Northern Arizona University in June 1988, provides the first introduction to the study of the topology of the complement of an arrangement in a complex vector space. The author discusses basic combinatorial tools, as well as algebras associated to the arrangement, differential forms, the cohomology and the homotopy type of the complement, free arrangements, and reflection arrangements. With a particular emphasis on topological aspects, this book provides an excellent introduction to current activity in this area.
Author: Alexandru Dimca
Publisher: Springer
ISBN: 3319562215
Category : Mathematics
Languages : en
Pages : 208
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Book Description
This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties. The topics discussed in this book range from elementary combinatorics and discrete geometry to more advanced material on mixed Hodge structures, logarithmic connections and Milnor fibrations. The author covers a lot of ground in a relatively short amount of space, with a focus on defining concepts carefully and giving proofs of theorems in detail where needed. Including a number of surprising results and tantalizing open problems, this timely book also serves to acquaint the reader with the rapidly expanding literature on the subject. Hyperplane Arrangements will be particularly useful to graduate students and researchers who are interested in algebraic geometry or algebraic topology. The book contains numerous exercises at the end of each chapter, making it suitable for courses as well as self-study.
Author: Madeleine Wickham
Publisher: Macmillan
ISBN: 1429926864
Category : Fiction
Languages : en
Pages : 304
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Book Description
Chloe needs a holiday. She's sick of making wedding dresses, her partner Philip has troubles at work, and the whole family wants a break. Her wealthy friend Gerard has offered the loan of his luxury villa in Spain--perfect. Hugh is not a happy man. His immaculate wife Amanda seems more interested in her new kitchen than in him, and he works so hard to pay for it, he barely has time for his children. Maybe he'll have a chance to bond with them on holiday. His old friend Gerard has lent them a luxury villa in Spain--perfect. Both families arrive at the villa and realize the awful truth--Gerard has double-booked. What no one else realizes is that Chloe and Hugh have a history; and as tensions rise within the two families, old passions resurface. It seems that Gerard's 'accidental' double booking may not be an accident after all...
Author: Peter Orlik
Publisher: Springer Science & Business Media
ISBN: 3662027720
Category : Mathematics
Languages : en
Pages : 337
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Book Description
An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerged independently as important objects in various fields of mathematics such as combinatorics, braids, configuration spaces, representation theory, reflection groups, singularity theory, and in computer science and physics. This book is the first comprehensive study of the subject. It treats arrangements with methods from combinatorics, algebra, algebraic geometry, topology, and group actions. It emphasizes general techniques which illuminate the connections among the different aspects of the subject. Its main purpose is to lay the foundations of the theory. Consequently, it is essentially self-contained and proofs are provided. Nevertheless, there are several new results here. In particular, many theorems that were previously known only for central arrangements are proved here for the first time in completegenerality. The text provides the advanced graduate student entry into a vital and active area of research. The working mathematician will findthe book useful as a source of basic results of the theory, open problems, and a comprehensive bibliography of the subject.
Author: Branko Grnbaum
Publisher: American Mathematical Soc.
ISBN: 0821816594
Category : Mathematics
Languages : en
Pages : 122
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Book Description
Author: Cambridge Systematics
Publisher: Transportation Research Board
ISBN: 0309118069
Category : Transportation
Languages : en
Pages : 68
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Book Description
TRB's National Cooperative Freight Research Program (NCFRP) Report 2: Institutional Arrangements for Freight Transportation Systems explores successful and promising institutional arrangements designed to improve freight movement. The report examines 40 guidelines, reflecting lessons learned from existing arrangements, that are designed to help agencies and industry representatives work together to invest in and improve the freight transportation system. Appendices, consisting of a literature review, workshop material, detailed case studies, and interview guide, contained on a CD-ROM (CRP-CD-72), which accompanies the printed version of the report and is available for download as an ISO image online.
Author: Jennifer Payne
Publisher: Cambridge University Press
ISBN: 1108835325
Category : Law
Languages : en
Pages : 453
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Book Description
Examines schemes of arrangement, which are an invaluable tool for companies in restructuring their capital.
Author:
Publisher:
ISBN:
Category : Deferred compensation
Languages : en
Pages : 36
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Book Description
Author: Norma Klein
Publisher: Rowman & Littlefield
ISBN: 1590772814
Category : Fiction
Languages : en
Pages : 287
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Book Description
The paradoxes set up between love and sex in contemporary American life are explored with subtle insight and brilliantly incisive humor in this culturally prescient novel. Domestic Arrangements is about a recognizable family facing a recognizable dilemma—how to respond to their daughter’s first affair. The Englebergs are not altogether ordinary though: Mom is Amanda, an in-demand actress whose specialties are TV commercials and soap operas; Daddy is Lionel, the director of an Emmy-winning TV documentary; Tatiana, our fourteen-year-old narrator, is a budding actress who just filmed her first ‘tasteful’ nude scene; and finally Cordelia, Tatiana’s acerbic and sharp-witted sister who is facing her own crisis of self-image. Norma Klein’s novel speaks to a multitude of readers who will empathize with the foibles of our time in every scene of this perceptive and honest literary entertainment.
