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| Author | : Paul-Hermann Zieschang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 314 |
| Release | : 2005-10-20 |
| Genre | : Mathematics |
| ISBN | : 9783540261360 |
Download Theory of Association Schemes Book in PDF, ePub and Kindle
This book is a concept-oriented treatment of the structure theory of association schemes. The generalization of Sylow’s group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits’ main theorem on buildings of spherical type.
| Author | : R. A. Bailey |
| Publisher | : Cambridge University Press |
| Total Pages | : 410 |
| Release | : 2004-02-26 |
| Genre | : Mathematics |
| ISBN | : 9781139449939 |
Download Association Schemes Book in PDF, ePub and Kindle
Association schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes.
| Author | : Alexander Barg |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 317 |
| Release | : 2001 |
| Genre | : Computers |
| ISBN | : 0821820745 |
Download Codes and Association Schemes Book in PDF, ePub and Kindle
This volume presents papers related to the DIMACS workshop, "Codes and Association Schemes". The articles are devoted to the following topics: applications of association schemes and of the polynomial method to properties of codes, structural results for codes, structural results for association schemes, and properties of orthogonal polynomials and their applications in combinatorics. Papers on coding theory are related to classical topics, such as perfect codes, bounds on codes, codes and combinatorial arrays, weight enumerators, and spherical designs. Papers on orthogonal polynomials provide new results on zeros and symptotic properties of standard families of polynomials encountered in coding theory. The theme of association schemes is represented by new classification results and new classes of schemes related to posets. This volume collects up-to-date applications of the theory of association schemes to coding and presents new properties of both polynomial and general association schemes. It offers a solid representation of results in problems in areas of current interest.
| Author | : Paul-Hermann Zieschang |
| Publisher | : Springer |
| Total Pages | : 201 |
| Release | : 2006-11-13 |
| Genre | : Mathematics |
| ISBN | : 3540685235 |
Download An Algebraic Approach to Association Schemes Book in PDF, ePub and Kindle
The primary object of the lecture notes is to develop a treatment of association schemes analogous to that which has been so successful in the theory of finite groups. The main chapters are decomposition theory, representation theory, and the theory of generators. Tits buildings come into play when the theory of generators is developed. Here, the buildings play the role which, in group theory, is played by the Coxeter groups. - The text is intended for students as well as for researchers in algebra, in particular in algebraic combinatorics.
| Author | : Eiichi Bannai |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 303 |
| Release | : 2021-02-22 |
| Genre | : Mathematics |
| ISBN | : 3110627736 |
Download Algebraic Combinatorics Book in PDF, ePub and Kindle
This series is devoted to the publication of high-level monographs which cover the whole spectrum of current discrete mathematics and its applications in various fields. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of discrete mathematics. Contributions which are on the borderline of discrete mathematics and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.
| Author | : James C. Scott |
| Publisher | : Yale University Press |
| Total Pages | : 462 |
| Release | : 2020-03-17 |
| Genre | : Political Science |
| ISBN | : 0300252986 |
Download Seeing Like a State Book in PDF, ePub and Kindle
“One of the most profound and illuminating studies of this century to have been published in recent decades.”—John Gray, New York Times Book Review Hailed as “a magisterial critique of top-down social planning” by the New York Times, this essential work analyzes disasters from Russia to Tanzania to uncover why states so often fail—sometimes catastrophically—in grand efforts to engineer their society or their environment, and uncovers the conditions common to all such planning disasters. “Beautifully written, this book calls into sharp relief the nature of the world we now inhabit.”—New Yorker “A tour de force.”— Charles Tilly, Columbia University
| Author | : Yaotsu Chang |
| Publisher | : |
| Total Pages | : 186 |
| Release | : 1994 |
| Genre | : |
| ISBN | : |
Download Imprimitive Symmetric Rank 4 Association Schemes Book in PDF, ePub and Kindle
| Author | : Rosemary Bailey |
| Publisher | : |
| Total Pages | : 387 |
| Release | : 2004 |
| Genre | : Association schemes (Combinatorial analysis) |
| ISBN | : 9780511185571 |
Download Association Schemes Book in PDF, ePub and Kindle
Based on the author's graduate course on association schemes and the optimal design of scientific experiments, this book is accessible to both pure mathematicians and statisticians alike. It will appeal to researchers as an accessible reference work from which to learn about the statistical/combinatorial aspect of their work.
| Author | : R.L. Graham |
| Publisher | : Elsevier |
| Total Pages | : 2404 |
| Release | : 1995-12-11 |
| Genre | : Computers |
| ISBN | : 008093384X |
Download Handbook of Combinatorics Book in PDF, ePub and Kindle
Handbook of Combinatorics
| Author | : David Eisenbud |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 265 |
| Release | : 2006-04-06 |
| Genre | : Mathematics |
| ISBN | : 0387226397 |
Download The Geometry of Schemes Book in PDF, ePub and Kindle
Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
