Format:
Online Ressource (xi, 331 pages)
,
diagrams.
Edition:
Online-Ausg. [S.l.] HathiTrust Digital Library Online-Ausg. [S.l.] : HathiTrust Digital Library
ISBN:
0124042503
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9780124042506
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9780080956251
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0080956254
Series Statement:
Mathematics in science and engineering v. 116
Content:
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;〈BR id="CRLF"〉methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and〈BR id="CRLF"〉methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.〈BR id="CRLF"〉〈BR id="CRLF"〉As a result, the book represents a blend of new methods in general computational analysis, 〈BR id="CRLF"〉and specific, but also generic, techniques for study of systems theory ant its particular〈BR id="CRLF"〉branches, such as optimal filtering and information compression
Note:
Includes bibliographical references (pages 319-320) and index. - Print version record
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Print version record
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Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002
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Front Cover; An Introduction to Group Representation Theory; Copyright Page; Contents; Preface; Chapter 1. Groups and Modules; 1. Fundamental Group Concepts; 2. Rings and Fields; 3. Abelian Groups, Modules, and Vector Spaces; 4. Linear Transformations on Vector Spaces; 5. Invariants of Linear Transformations; Problems; Chapter 2. The Representation Theory of Finite Groups; 1. Basic Concepts and Definitions in the Representation Theory of Finite Groups; 2. The Group Algebra KG of a Finite Group G; 3. The Structure of the Group Algebra KG; 4. The Simple Components of the Group Algebra KG
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5. Introduction to Group CharactersProblems; Chapter 3. The Computation of Representations and Characters of Finite Groups; 1. Basic Concepts of Tensor Products of Group Representations; 2. Representations and Characters of a Group Induced from Those of a Subgroup; 3. The Group of Euclidean Motions of Three-Dimensional Euclidean Space and Some of Its Subgroups; 4. The Irreducible Representations of Certain Point and Space Groups; Problems; Chapter 4. The Representation Theory of Several Special Groups; 1. The Representation Theory of the Symmetric Group; 2. Modules over Symmetric Algebras
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3. The Integral Representations of the General Linear Groups4. General Remarks about the Representation Theory of Certain Matrix Groups; Problems; References; Index;
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Online-Ausg. [S.l.] : HathiTrust Digital Library
,
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Additional Edition:
ISBN 0124042503
Additional Edition:
Erscheint auch als Druck-Ausgabe Introduction to group representation theory New York : Academic Press, 1975
Language:
English
Subjects:
Mathematics
Keywords:
Electronic books
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Electronic books
;
Electronic resource
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