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3 produkter
3 produkter
Del 300 - Grundlehren der mathematischen Wissenschaften
Arrangements of Hyperplanes
Inbunden, Engelska, 1992
1 378 kr
Skickas inom 10-15 vardagar
An arrangement of hyperplanes is a finite collection ofcodimension one affine subspaces in a finite dimensionalvector space. Arrangements have emerged independently asimportant objects in various fields of mathematics such ascombinatorics, braids, configuration spaces, representationtheory, reflection groups, singularity theory, and incomputer 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. Itemphasizes general techniques which illuminate theconnections among the different aspects of the subject. Itsmain purpose is to lay the foundations of the theory. Consequently, it is essentially self-contained and proofsare provided. Nevertheless, there are several new resultshere. In particular, many theorems that were previouslyknown only for central arrangements are proved here for thefirst time in completegenerality. The text provides the advanced graduate student entry into avital and active area of research.The working mathematicianwill findthe book useful as a source of basic results ofthe theory, open problems, and a comprehensive bibliographyof the subject.
Del 300 - Grundlehren der mathematischen Wissenschaften
Arrangements of Hyperplanes
Häftad, Engelska, 2010
1 378 kr
Skickas inom 10-15 vardagar
An arrangement of hyperplanes is a finite collection ofcodimension one affine subspaces in a finite dimensionalvector space. Arrangements have emerged independently asimportant objects in various fields of mathematics such ascombinatorics, braids, configuration spaces, representationtheory, reflection groups, singularity theory, and incomputer 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. Itemphasizes general techniques which illuminate theconnections among the different aspects of the subject. Itsmain purpose is to lay the foundations of the theory.Consequently, it is essentially self-contained and proofsare provided. Nevertheless, there are several new resultshere. In particular, many theorems that were previouslyknown only for central arrangements are proved here for thefirst time in completegenerality.The text provides the advanced graduate student entry into avital and active area of research. The working mathematicianwill findthe book useful as a source of basic results ofthe theory, open problems, and a comprehensive bibliographyof the subject.
1 589 kr
Skickas inom 5-8 vardagar
This book is the proceedings of the conference on Arrangements of Hyperplanes, held in August 2009 as the 2nd Mathematical Society of Japan Seasonal Institute. The modern study of arrangements of hyperplanes started in the early 1980s. Since the object of study is simple (just a finite set of hyperplanes), there are various mathematical approaches to arrangements including algebra, topology, combinatorics, singularities, integral systems, hypergeometric functions, and statistics. Since numerous world-renowned experts gave talks at the 2nd MSJ-SI, this book covers many pioneering approaches and new topics in the theory of arrangements as well as indispensable classical results. The book is recommended to any researcher or graduate student interested in arrangements of hyerplanes.