Finitely Supported Mathematics: An Introduction, Alexandru Andrei, Ciobanu Gabriel

Автор: Alexandru
Название: Finitely Supported Mathematics
ISBN: 3319422812 ISBN-13(EAN): 9783319422817
Издательство: Springer
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Цена: 71730.00 T
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Описание: In this book the authors present an alternative set theory dealing with a more relaxed notion of infiniteness, called finitely supported mathematics (FSM). It has strong connections to the Fraenkel-Mostowski (FM) permutative model of Zermelo-Fraenkel (ZF) set theory with atoms and to the theory of (generalized) nominal sets. More exactly, FSM is ZF mathematics rephrased in terms of finitely supported structures, where the set of atoms is infinite (not necessarily countable as for nominal sets). In FSM, 'sets' are replaced either by `invariant sets' (sets endowed with some group actions satisfying a finite support requirement) or by `finitely supported sets' (finitely supported elements in the powerset of an invariant set). It is a theory of `invariant algebraic structures' in which infinite algebraic structures are characterized by using their finite supports. After explaining the motivation for using invariant sets in the experimental sciences as well as the connections with the nominal approach, admissible sets and Gandy machines (Chapter 1), the authors present in Chapter 2 the basics of invariant sets and show that the principles of constructing FSM have historical roots both in the definition of Tarski `logical notions' and in the Erlangen Program of Klein for the classification of various geometries according to invariants under suitable groups of transformations. Furthermore, the consistency of various choice principles is analyzed in FSM. Chapter 3 examines whether it is possible to obtain valid results by replacing the notion of infinite sets with the notion of invariant sets in the classical ZF results. The authors present techniques for reformulating ZF properties of algebraic structures in FSM. In Chapter 4 they generalize FM set theory by providing a new set of axioms inspired by the theory of amorphous sets, and so defining the extended Fraenkel-Mostowski (EFM) set theory. In Chapter 5 they define FSM semantics for certain process calculi (e.g., fusion calculus), and emphasize the links to the nominal techniques used in computer science. They demonstrate a complete equivalence between the new FSM semantics (defined by using binding operators instead of side conditions for presenting the transition rules) and the known semantics of these process calculi.The book is useful for researchers and graduate students in computer science and mathematics, particularly those engaged with logic and set theory.

Автор: Li, Haitao (shandong Normal University) Zhao, Guod
Название: Analysis and control of finite-valued systems
ISBN: 1138556505 ISBN-13(EAN): 9781138556508
Издательство: Taylor&Francis
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Цена: 183750.00 T
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Описание: A comprehensive work in finite-value systems that covers the latest achievements using the semi-tensor product method, on various kinds of finite-value systems. The book contains examples to provide a better understanding of the practical applications of finite-value systems.

Автор: Ball
Название: Finite Geometry and Combinatorial Applications
ISBN: 1107107997 ISBN-13(EAN): 9781107107991
Издательство: Cambridge Academ
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Цена: 155230.00 T
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Описание: For students and researchers interested in algebraic combinatorics, this book not only provides an introduction to the geometries arising from vector spaces over finite fields but also shows how these geometries can be applied to various combinatorial objects. More than 100 exercises and solutions are provided.

Автор: Deza Michel Marie Et Al
Название: Generalizations Of Finite Metrics And Cuts
ISBN: 981474039X ISBN-13(EAN): 9789814740395
Издательство: World Scientific Publishing
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Цена: 111930.00 T
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Описание: This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics.

Автор: Pramote Dechaumphai, Sedthawat Sucharitpwatskul
Название: Finite Element Analysis with Solidworks Simulation
ISBN: 1783324805 ISBN-13(EAN): 9781783324804
Издательство: Mare Nostrum (Eurospan)
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Цена: 109950.00 T
Наличие на складе: Невозможна поставка.
Описание: The book comprehends the theory of finite element method and the use of SOLIDWORKS Simulation. Spread in twelve chapters it describes finite element method for solving structural mechanics, heat transfer and fluid flow problems.

Автор: Joseph Kirtland
Название: Complementation of Normal Subgroups: In Finite Groups
ISBN: 311047879X ISBN-13(EAN): 9783110478792
Издательство: Walter de Gruyter
Цена: 107790.00 T
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Описание:

Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations.

Автор: Alex Wilson
Название: Modular Representation Theory of Finite Groups
ISBN: 1681176467 ISBN-13(EAN): 9781681176468
Издательство: Gazelle Book Services
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Цена: 230210.00 T
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Описание: "In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space. For finite groups the theory comes in two distinct flavors. In the semisimple case (for example over the field of complex numbers) one can use character theory to completely understand the representations. This by far is not sufficient when the characteristic of the field divides the order of the group. Modular representation theory is a branch of mathematics, and that part of representation theory that studies linear representations of finite groups over a field K of positive characteristic. As well as having applications to group theory, modular representations arise naturally in other branches of mathematics, such as algebraic geometry, coding theory, combinatorics and number theory. This book aims to the modular representation theory of finite groups from an algebraic point of view, regarding representations as modules over the group algebra."

Автор: Kai-Uwe Schmidt, Arne Winterhof
Название: Combinatorics and Finite Fields: Difference Sets, Polynomials, Pseudorandomness and Applications
ISBN: 3110641798 ISBN-13(EAN): 9783110641790
Издательство: Walter de Gruyter
Цена: 149940.00 T
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Описание: The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics. The books of this series are addressed to both specialists and advanced students. Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board. Managing Editor Ulrich Langer , Johannes Kepler University Linz, Austria Editorial Board Hansjorg Albrecher , University of Lausanne, Switzerland Ronald H. W. Hoppe , University of Houston, USA Karl Kunisch , RICAM, Linz, Austria; University of Graz, Austria Harald Niederreiter , RICAM, Linz, Austria Christian Schmeiser , University of Vienna, Austria

Автор: Adalbert Kerber
Название: Applied Finite Group Actions
ISBN: 3642085229 ISBN-13(EAN): 9783642085222
Издательство: Springer
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Цена: 153720.00 T
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Описание: Written by one of the top experts in the fields of combinatorics and representation theory, this book distinguishes itself from the existing literature by its applications-oriented point of view. Recent progress in this field, in particular in design and coding theory, is described.

Автор: Qing Jun Hou
Название: Representing Finite Groups
ISBN: 1681175681 ISBN-13(EAN): 9781681175683
Издательство: Gazelle Book Services
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Цена: 217350.00 T
Наличие на складе: Невозможна поставка.
Описание: "Geometry is nothing but an expression of a symmetry group. Representation theory is the study of how such an abstract group appears in different avatars as symmetries of geometries over number fields or more general fields of scalars. It is a technique for analyzing abstract groups in terms of groups of linear transformations. In essence, a representation makes an abstract algebraic object more concrete by describing its elements by matrices and the algebraic operations in terms of matrix addition and matrix multiplication. The algebraic objects amenable to such a description include groups, associative algebras and Lie algebras. The most prominent of these is the representation theory of groups, in which elements of a group are represented by invertible matrices in such a way that the group operation is matrix multiplication. Representation theory is a useful method because it reduces problems in abstract algebra to problems in linear algebra, a subject that is well understood. Representing Finite Groups provides comprehensive overview on the basics of representation theory for finite groups from the point of view of semisimple algebras and modules over them. This book will be of valuable tool for professors, practitioners, and researchers in mathematics and mathematical physics."

Автор: Martin R. Weber
Название: Finite Elements in Vector Lattices
ISBN: 3110350777 ISBN-13(EAN): 9783110350777
Издательство: Walter de Gruyter
Цена: 173490.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is the first systematical treatment of the theory of finite elements in Archimedean vector lattices and contains the results known on this topic up to the year 2013. It joins all important contributions achieved by a series of mathematicians that can only be found in scattered in literature.