Engineering mathematics II : algebraic, stochastic and analysis structures for networks, data classification and optimization / Sergei Silvestrov, Milica Rančić, editors.
This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. It addresses mathematical methods of algebr...
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| Online Access: |
Full Text (via Springer) |
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| Other Authors: | , |
| Other title: | Engineering mathematics 2. |
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
2016.
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| Series: | Springer proceedings in mathematics & statistics ;
179. |
| Subjects: |
MARC
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| 245 | 0 | 0 | |a Engineering mathematics II : |b algebraic, stochastic and analysis structures for networks, data classification and optimization / |c Sergei Silvestrov, Milica Rančić, editors. |
| 246 | 3 | |a Engineering mathematics 2. | |
| 264 | 1 | |a Cham, Switzerland : |b Springer, |c 2016. | |
| 300 | |a 1 online resource (xiv, 436 pages) : |b illustrations (some color) | ||
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| 490 | 1 | |a Springer proceedings in mathematics & statistics, |x 2194-1009 ; |v 179. | |
| 505 | 0 | |a Preface; Contents; Contributors; Classification of Low Dimensional 3-Lie Superalgebras; 1 Introduction; 2 Supertrace and Induced n-Lie Superalgebras; 3 Properties of Induced n-Lie Superalgebras; 4 Low Dimensional Ternary Lie Superalgebras; 5 Supermodule Over Clifford Algebra; References; Semi-commutative Galois Extension and Reduced Quantum Plane; 1 Introduction; 2 Graded q-Differential Algebra Structure of Noncommutative Galois Extension; 3 First Order Differential Calculus over Associative Unital Algebra; 4 First Order Differential Calculus of Semi-commutative Galois Extension. | |
| 505 | 8 | |a 5 Higher Order Differential Calculus of Semi-commutative Galois Extension6 Semi-commutative Galois Extension Approach to Reduced Quantum Plane; References; Valued Custom Skew Fields with Generalised PBW Property from Power Series Construction; 1 Introduction; 2 Normed Algebras; 3 Rewriting and the Diamond Lemma; 4 The Unreasonable Usefulness of Irrationality; References; Computing Burchnall -- Chaundy Polynomials with Determinants; 1 Introduction; 2 Definitions; 3 Algebraic Dependence; 4 The Determinant Construction; 5 Generalisation to Ore Extensions; References. | |
| 505 | 8 | |a Centralizers and Pseudo-Degree Functions1 Introduction; 1.1 Notation and Conventions; 2 Centralizers in Algebras with Degree Functions; 3 Examples; References; Crossed Product Algebras for Piece-Wise Constant Functions; 1 Introduction; 2 Definitions and a Preliminary Result; 3 Algebra of Piece-Wise Constant Functions; 3.1 Maximal Commutative Subalgebra; 4 Algebra of Piece-Wise Constant Functions on the Real Line with N Fixed Jump Points; 5 Some Examples; 5.1 Piece-Wise Constant Functions with One Jump Point; 5.2 Piece-Wise Constant Functions with Two Jump Points; References. | |
| 505 | 8 | |a Commutants in Crossed Product Algebras for Piece-Wise Constant Functions1 Introduction; 2 Definitions and a Preliminary Result; 3 Algebra of Piece-Wise Constant Functions on the Real Line with N Fixed Jump Points; 4 Comparison of Commutants; 4.1 An Example; 5 Description of the Center; 6 Jump Points Added into Different Intervals; 6.1 Description of SepmathcalASn(mathbbR) and the Commutant mathcalAS'; References; Asymptotic Expansions for Moment Functionals of Perturbed Discrete Time Semi-Markov Processes; 1 Introduction; 2 Perturbed Semi-Markov Processes; 3 Systems of Linear Equations. | |
| 505 | 8 | |a 4 Convergence of Moment Functionals5 Expansions of Moment Functionals; References; Asymptotics for Quasi-stationary Distributions of Perturbed Discrete Time Semi-Markov Processes; 1 Introduction; 2 Main Result; 3 Quasi-stationary Distributions; 4 Proof of the Main Result; 5 Perturbed Markov Chains; References; Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes; 1 Introduction; 2 Laurent Asymptotic Expansions; 2.1 Definition of Laurent Asymptotic Expansions; 2.2 Operational Rules for Laurent Asymptotic Expansions; 2.3 Proofs of Lemmas10.1 -- 10.6. | |
| 500 | |a Includes index. | ||
| 520 | |a This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. It addresses mathematical methods of algebra, applied matrix analysis, operator analysis, probability theory and stochastic processes, geometry and computational methods in network analysis, data classification, ranking and optimisation. The individual chapters cover both theory and applications, and include a wealth of figures, schemes, algorithms, tables and results of data analysis and simulation. Presenting new methods and results, reviews of cutting-edge research, and open problems for future research, they equip readers to develop new mathematical methods and concepts of their own, and to further compare and analyse the methods and results discussed. The book consists of contributed chapters covering research developed as a result of a focused international seminar series on mathematics and applied mathematics and a series of three focused international research workshops on engineering mathematics organised by the Research Environment in Mathematics and Applied Mathematics at Mälardalen University from autumn 2014 to autumn 2015: the International Workshop on Engineering Mathematics for Electromagnetics and Health Technology; the International Workshop on Engineering Mathematics, Algebra, Analysis and Electromagnetics; and the 1st Swedish-Estonian International Workshop on Engineering Mathematics, Algebra, Analysis and Applications. It serves as a source of inspiration for a broad spectrum of researchers and research students in applied mathematics, as well as in the areas of applications of mathematics considered in the book. | ||
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed February 20, 2017) | |
| 650 | 0 | |a Engineering mathematics. |0 http://id.loc.gov/authorities/subjects/sh85043235. | |
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| 700 | 1 | |a Silvestrov, Sergei D., |e editor. |0 http://id.loc.gov/authorities/names/no2001015711 |1 http://isni.org/isni/0000000045998258. | |
| 700 | 1 | |a Rančić, Milica, |e editor. | |
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