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Título : Advances on Fractional Inequalities Tipo de documento: documento electrónico Autores: George A. Anastassiou ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: SpringerBriefs in Mathematics, ISSN 2191-8198 Número de páginas: X, 122 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-0703-4 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Functions of real variables Calculus variations Ordinary Equations Variations and Optimal Control; Optimization Real Clasificación: 51 Matemáticas Resumen: Advances on Fractional Inequalities use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which involves the balanced fractional derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate and multivariate cases. Next the right and left, as well as mixed, Landau fractional differentiation inequalities in the univariate and multivariate cases are illustrated. Throughout the book many applications are given. Fractional differentiation inequalities are by themselves an important and great mathematical topic for research. Furthermore they have many applications, the most important ones are in establishing uniqueness of solution in fractional differential equations and systems and in fractional partial differential equations. Also they provide upper bounds to the solutions of the above equations. Fractional Calculus has emerged as very useful over the last forty years due to its many applications in almost all applied sciences. This is currently seen in applications in acoustic wave propagation in inhomogeneous porous material, diffusive transport, fluid flow, dynamical processes in self-similar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, bio-sciences, bioengineering, medicine, economics, probability and statistics, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear control, signal processing, control of power electronic, converters, chaotic dynamics, polymer science, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, etc. Almost all fields of research in science and engineering use fractional calculus in order to describe results. This book is a part of Fractional Calculus, therefore it is useful for researchers and graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering and all other applied sciences En línea: http://dx.doi.org/10.1007/978-1-4614-0703-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33231 Advances on Fractional Inequalities [documento electrónico] / George A. Anastassiou ; SpringerLink (Online service) . - New York, NY : Springer New York, 2011 . - X, 122 p : online resource. - (SpringerBriefs in Mathematics, ISSN 2191-8198) .
ISBN : 978-1-4614-0703-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Functions of real variables Calculus variations Ordinary Equations Variations and Optimal Control; Optimization Real Clasificación: 51 Matemáticas Resumen: Advances on Fractional Inequalities use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which involves the balanced fractional derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate and multivariate cases. Next the right and left, as well as mixed, Landau fractional differentiation inequalities in the univariate and multivariate cases are illustrated. Throughout the book many applications are given. Fractional differentiation inequalities are by themselves an important and great mathematical topic for research. Furthermore they have many applications, the most important ones are in establishing uniqueness of solution in fractional differential equations and systems and in fractional partial differential equations. Also they provide upper bounds to the solutions of the above equations. Fractional Calculus has emerged as very useful over the last forty years due to its many applications in almost all applied sciences. This is currently seen in applications in acoustic wave propagation in inhomogeneous porous material, diffusive transport, fluid flow, dynamical processes in self-similar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, bio-sciences, bioengineering, medicine, economics, probability and statistics, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear control, signal processing, control of power electronic, converters, chaotic dynamics, polymer science, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, etc. Almost all fields of research in science and engineering use fractional calculus in order to describe results. This book is a part of Fractional Calculus, therefore it is useful for researchers and graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering and all other applied sciences En línea: http://dx.doi.org/10.1007/978-1-4614-0703-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33231 Ejemplares
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Título : An Introduction to Inverse Limits with Set-valued Functions Tipo de documento: documento electrónico Autores: W. T. Ingram ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: SpringerBriefs in Mathematics, ISSN 2191-8198 Número de páginas: XII, 86 p. 51 illus., 41 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-4487-9 Idioma : Inglés (eng) Palabras clave: Mathematics Dynamics Ergodic theory Differential equations Game Topology Dynamical Systems and Theory Ordinary Equations Theory, Economics, Social Behav. Sciences Clasificación: 51 Matemáticas Resumen: Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introduction dedicated specifically to such inverse limits. The theory is presented along with detailed examples which form the distinguishing feature of this work. The major differences between the theory of inverse limits with mappings and the theory with set-valued functions are featured prominently in this book in a positive light. The reader is assumed to have taken a senior level course in analysis and a basic course in topology. Advanced undergraduate and graduate students, and researchers working in this area will find this brief useful. Nota de contenido: 1. Basics -- 2. Connectedness -- 3. Mapping verses Set-valued Functions -- 4. Mapping Theorems -- 5. Dimension -- 6. Problems.–Index En línea: http://dx.doi.org/10.1007/978-1-4614-4487-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32846 An Introduction to Inverse Limits with Set-valued Functions [documento electrónico] / W. T. Ingram ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XII, 86 p. 51 illus., 41 illus. in color : online resource. - (SpringerBriefs in Mathematics, ISSN 2191-8198) .
ISBN : 978-1-4614-4487-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Dynamics Ergodic theory Differential equations Game Topology Dynamical Systems and Theory Ordinary Equations Theory, Economics, Social Behav. Sciences Clasificación: 51 Matemáticas Resumen: Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introduction dedicated specifically to such inverse limits. The theory is presented along with detailed examples which form the distinguishing feature of this work. The major differences between the theory of inverse limits with mappings and the theory with set-valued functions are featured prominently in this book in a positive light. The reader is assumed to have taken a senior level course in analysis and a basic course in topology. Advanced undergraduate and graduate students, and researchers working in this area will find this brief useful. Nota de contenido: 1. Basics -- 2. Connectedness -- 3. Mapping verses Set-valued Functions -- 4. Mapping Theorems -- 5. Dimension -- 6. Problems.–Index En línea: http://dx.doi.org/10.1007/978-1-4614-4487-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32846 Ejemplares
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Título : An Introduction to Quasisymmetric Schur Functions : Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux Tipo de documento: documento electrónico Autores: Kurt Luoto ; SpringerLink (Online service) ; Stefan Mykytiuk ; Stephanie van Willigenburg Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: SpringerBriefs in Mathematics, ISSN 2191-8198 Número de páginas: XIV, 89 p. 75 illus Il.: online resource ISBN/ISSN/DL: 978-1-4614-7300-8 Idioma : Inglés (eng) Palabras clave: Mathematics Topological groups Lie Applied mathematics Engineering Algorithms Combinatorics Groups, Groups Applications of Clasificación: 51 Matemáticas Resumen: An Introduction to Quasisymmetric Schur Functions is aimed at researchers and graduate students in algebraic combinatorics. The goal of this monograph is twofold. The first goal is to provide a reference text for the basic theory of Hopf algebras, in particular the Hopf algebras of symmetric, quasisymmetric and noncommutative symmetric functions and connections between them. The second goal is to give a survey of results with respect to an exciting new basis of the Hopf algebra of quasisymmetric functions, whose combinatorics is analogous to that of the renowned Schur functions Nota de contenido: 1. Introduction -- 2. Classical combinatorial concepts -- 3. Hopf algebras -- 4. Compsition tableaux and further combinatorial concepts -- 5. Quasisymmetric Schur functions -- References -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-7300-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32348 An Introduction to Quasisymmetric Schur Functions : Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux [documento electrónico] / Kurt Luoto ; SpringerLink (Online service) ; Stefan Mykytiuk ; Stephanie van Willigenburg . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XIV, 89 p. 75 illus : online resource. - (SpringerBriefs in Mathematics, ISSN 2191-8198) .
ISBN : 978-1-4614-7300-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Topological groups Lie Applied mathematics Engineering Algorithms Combinatorics Groups, Groups Applications of Clasificación: 51 Matemáticas Resumen: An Introduction to Quasisymmetric Schur Functions is aimed at researchers and graduate students in algebraic combinatorics. The goal of this monograph is twofold. The first goal is to provide a reference text for the basic theory of Hopf algebras, in particular the Hopf algebras of symmetric, quasisymmetric and noncommutative symmetric functions and connections between them. The second goal is to give a survey of results with respect to an exciting new basis of the Hopf algebra of quasisymmetric functions, whose combinatorics is analogous to that of the renowned Schur functions Nota de contenido: 1. Introduction -- 2. Classical combinatorial concepts -- 3. Hopf algebras -- 4. Compsition tableaux and further combinatorial concepts -- 5. Quasisymmetric Schur functions -- References -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-7300-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32348 Ejemplares
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Título : Analyzing Markov Chains using Kronecker Products : Theory and Applications Tipo de documento: documento electrónico Autores: Tugrul Dayar ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: SpringerBriefs in Mathematics, ISSN 2191-8198 Número de páginas: IX, 86 p. 3 illus Il.: online resource ISBN/ISSN/DL: 978-1-4614-4190-8 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical statistics Numerical analysis Probabilities Probability Theory and Stochastic Processes Analysis Statistics in Computer Science Clasificación: 51 Matemáticas Resumen: Kronecker products are used to define the underlying Markov chain (MC) in various modeling formalisms, including compositional Markovian models, hierarchical Markovian models, and stochastic process algebras. The motivation behind using a Kronecker structured representation rather than a flat one is to alleviate the storage requirements associated with the MC. With this approach, systems that are an order of magnitude larger can be analyzed on the same platform. The developments in the solution of such MCs are reviewed from an algebraic point of view and possible areas for further research are indicated with an emphasis on preprocessing using reordering, grouping, and lumping and numerical analysis using block iterative, preconditioned projection, multilevel, decompositional, and matrix analytic methods. Case studies from closed queueing networks and stochastic chemical kinetics are provided to motivate decompositional and matrix analytic methods, respectively Nota de contenido: Introduction -- Background -- Kronecker representation -- Preprocessing -- Block iterative methods for Kronecker products -- Preconditioned projection methods -- Multilevel methods -- Decompositional methods -- Matrix analytic methods En línea: http://dx.doi.org/10.1007/978-1-4614-4190-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32837 Analyzing Markov Chains using Kronecker Products : Theory and Applications [documento electrónico] / Tugrul Dayar ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2012 . - IX, 86 p. 3 illus : online resource. - (SpringerBriefs in Mathematics, ISSN 2191-8198) .
ISBN : 978-1-4614-4190-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical statistics Numerical analysis Probabilities Probability Theory and Stochastic Processes Analysis Statistics in Computer Science Clasificación: 51 Matemáticas Resumen: Kronecker products are used to define the underlying Markov chain (MC) in various modeling formalisms, including compositional Markovian models, hierarchical Markovian models, and stochastic process algebras. The motivation behind using a Kronecker structured representation rather than a flat one is to alleviate the storage requirements associated with the MC. With this approach, systems that are an order of magnitude larger can be analyzed on the same platform. The developments in the solution of such MCs are reviewed from an algebraic point of view and possible areas for further research are indicated with an emphasis on preprocessing using reordering, grouping, and lumping and numerical analysis using block iterative, preconditioned projection, multilevel, decompositional, and matrix analytic methods. Case studies from closed queueing networks and stochastic chemical kinetics are provided to motivate decompositional and matrix analytic methods, respectively Nota de contenido: Introduction -- Background -- Kronecker representation -- Preprocessing -- Block iterative methods for Kronecker products -- Preconditioned projection methods -- Multilevel methods -- Decompositional methods -- Matrix analytic methods En línea: http://dx.doi.org/10.1007/978-1-4614-4190-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32837 Ejemplares
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Título : Applications of Discrete-time Markov Chains and Poisson Processes to Air Pollution Modeling and Studies Tipo de documento: documento electrónico Autores: Rodrigues, Eliane Regina ; SpringerLink (Online service) ; Jorge Alberto Achcar Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: SpringerBriefs in Mathematics, ISSN 2191-8198 Número de páginas: X, 107 p. 12 illus Il.: online resource ISBN/ISSN/DL: 978-1-4614-4645-3 Idioma : Inglés (eng) Palabras clave: Mathematics Probabilities Air pollution Probability Theory and Stochastic Processes Environmental Monitoring/Analysis Atmospheric Protection/Air Quality Control/Air Pollution Clasificación: 51 Matemáticas Resumen: In this brief we consider some stochastic models that may be used to study problems related to environmental matters, in particular, air pollution. The impact of exposure to air pollutants on people's health is a very clear and well documented subject. Therefore, it is very important to obtain ways to predict or explain the behaviour of pollutants in general. Depending on the type of question that one is interested in answering, there are several of ways studying that problem. Among them we may quote, analysis of the time series of the pollutants' measurements, analysis of the information obtained directly from the data, for instance, daily, weekly or monthly averages and standard deviations. Another way to study the behaviour of pollutants in general is through mathematical models. In the mathematical framework we may have for instance deterministic or stochastic models. The type of models that we are going to consider in this brief are the stochastic ones En línea: http://dx.doi.org/10.1007/978-1-4614-4645-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32226 Applications of Discrete-time Markov Chains and Poisson Processes to Air Pollution Modeling and Studies [documento electrónico] / Rodrigues, Eliane Regina ; SpringerLink (Online service) ; Jorge Alberto Achcar . - New York, NY : Springer New York : Imprint: Springer, 2013 . - X, 107 p. 12 illus : online resource. - (SpringerBriefs in Mathematics, ISSN 2191-8198) .
ISBN : 978-1-4614-4645-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Probabilities Air pollution Probability Theory and Stochastic Processes Environmental Monitoring/Analysis Atmospheric Protection/Air Quality Control/Air Pollution Clasificación: 51 Matemáticas Resumen: In this brief we consider some stochastic models that may be used to study problems related to environmental matters, in particular, air pollution. The impact of exposure to air pollutants on people's health is a very clear and well documented subject. Therefore, it is very important to obtain ways to predict or explain the behaviour of pollutants in general. Depending on the type of question that one is interested in answering, there are several of ways studying that problem. Among them we may quote, analysis of the time series of the pollutants' measurements, analysis of the information obtained directly from the data, for instance, daily, weekly or monthly averages and standard deviations. Another way to study the behaviour of pollutants in general is through mathematical models. In the mathematical framework we may have for instance deterministic or stochastic models. The type of models that we are going to consider in this brief are the stochastic ones En línea: http://dx.doi.org/10.1007/978-1-4614-4645-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32226 Ejemplares
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