Información de una colección
Modeling and Simulation in Science, Engineering and Technology
Editorial :
ISSN :
2164-3679
|
Documentos disponibles dentro de esta colección (13)
Refinar búsqueda
Título : An Introduction to Continuous-Time Stochastic Processes : Theory, Models, and Applications to Finance, Biology, and Medicine Tipo de documento: documento electrónico Autores: Vincenzo Capasso ; SpringerLink (Online service) ; David Bakstein Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2005 Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XIV, 344 p. 13 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4428-4 Idioma : Inglés (eng) Palabras clave: Mathematics Applied mathematics Engineering Economics, Mathematical models Probabilities Biomathematics Applications of Probability Theory and Stochastic Processes Modeling Industrial Computational Biology Quantitative Finance Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. A balance of theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics covered include: * Interacting particles and agent-based models: from polymers to ants * Population dynamics: from birth and death processes to epidemics * Financial market models: the non-arbitrage principle * Contingent claim valuation models: the risk-neutral valuation theory * Risk analysis in insurance An Introduction to Continuous-Time Stochastic Processes will be of interest to a broad audience of students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or advanced undergraduate courses, the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided Nota de contenido: The Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Itô Integral -- Stochastic Differential Equations -- The Applications of Stochastic Processes -- Applications to Finance and Insurance -- Applications to Biology and Medicine En línea: http://dx.doi.org/10.1007/b138900 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35184 An Introduction to Continuous-Time Stochastic Processes : Theory, Models, and Applications to Finance, Biology, and Medicine [documento electrónico] / Vincenzo Capasso ; SpringerLink (Online service) ; David Bakstein . - Boston, MA : Birkhäuser Boston, 2005 . - XIV, 344 p. 13 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-4428-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Applied mathematics Engineering Economics, Mathematical models Probabilities Biomathematics Applications of Probability Theory and Stochastic Processes Modeling Industrial Computational Biology Quantitative Finance Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. A balance of theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics covered include: * Interacting particles and agent-based models: from polymers to ants * Population dynamics: from birth and death processes to epidemics * Financial market models: the non-arbitrage principle * Contingent claim valuation models: the risk-neutral valuation theory * Risk analysis in insurance An Introduction to Continuous-Time Stochastic Processes will be of interest to a broad audience of students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or advanced undergraduate courses, the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided Nota de contenido: The Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Itô Integral -- Stochastic Differential Equations -- The Applications of Stochastic Processes -- Applications to Finance and Insurance -- Applications to Biology and Medicine En línea: http://dx.doi.org/10.1007/b138900 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35184 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : An Introduction to Continuous-Time Stochastic Processes : Theory, Models, and Applications to Finance, Biology, and Medicine Tipo de documento: documento electrónico Autores: Vincenzo Capasso ; SpringerLink (Online service) ; David Bakstein Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2012 Otro editor: Imprint: Birkhäuser Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XIII, 434 p. 14 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8346-7 Idioma : Inglés (eng) Palabras clave: Mathematics Applied mathematics Engineering Economics, Mathematical models Probabilities Biomathematics Probability Theory and Stochastic Processes Modeling Industrial Quantitative Finance Computational Biology Applications of Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: From reviews of First Edition: The book is ... an account of fundamental concepts as they appear in relevant modern applications and literature. ... The book addresses three main groups: first, mathematicians working in a different field; second, other scientists and professionals from a business or academic background; third, graduate or advanced undergraduate students of a quantitative subject related to stochastic theory and/or applications. —Zentralblatt MATH This is an introductory text on continuous time stochastic processes and their applications to finance and biology. ... The book will be useful for applied mathematicians who are not probabilists to get a quick flavour of the techniques of stochastic calculus, and for professional probabilists to get a quick flavour of the applications. —Mathematical Reviews Revised and enhanced, this concisely written second edition of An Introduction to Continuous-Time Stochastic Processes is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics include: * Markov processes * Stochastic differential equations * Arbitrage-free markets and financial derivatives * Insurance risk * Population dynamics * Agent-based models New to the Second Edition: * Improved presentation of original concepts * Expanded background on probability theory * Substantial material applicable to finance and biology, including stable laws, Lévy processes, and Itô-Lévy calculus * Supplemental appendix to provide basic facts on semigroups of linear operators An Introduction to Continuous-Time Stochastic Processes, Second Edition will be of interest to a broad audience of students, pure and applied mathematicians, and researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or undergraduate courses, as well as European Masters courses (according to the two-year-long second cycle of the “Bologna Scheme”), the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided Nota de contenido: Part I. The Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Itô Integral -- Stochastic Differential Equations -- Part II. The Applications of Stochastic Processes -- Applications to Finance and Insurance -- Applications to Biology and Medicine -- Part III. Appendices -- Measure and Integration -- Convergence of Probability Measures on Metric Spaces -- Elliptic and Parabolic Operators -- D Semigroups and Linear Operators.- E Stability of Ordinary Differential Equations -- References En línea: http://dx.doi.org/10.1007/978-0-8176-8346-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32703 An Introduction to Continuous-Time Stochastic Processes : Theory, Models, and Applications to Finance, Biology, and Medicine [documento electrónico] / Vincenzo Capasso ; SpringerLink (Online service) ; David Bakstein . - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012 . - XIII, 434 p. 14 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-8346-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Applied mathematics Engineering Economics, Mathematical models Probabilities Biomathematics Probability Theory and Stochastic Processes Modeling Industrial Quantitative Finance Computational Biology Applications of Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: From reviews of First Edition: The book is ... an account of fundamental concepts as they appear in relevant modern applications and literature. ... The book addresses three main groups: first, mathematicians working in a different field; second, other scientists and professionals from a business or academic background; third, graduate or advanced undergraduate students of a quantitative subject related to stochastic theory and/or applications. —Zentralblatt MATH This is an introductory text on continuous time stochastic processes and their applications to finance and biology. ... The book will be useful for applied mathematicians who are not probabilists to get a quick flavour of the techniques of stochastic calculus, and for professional probabilists to get a quick flavour of the applications. —Mathematical Reviews Revised and enhanced, this concisely written second edition of An Introduction to Continuous-Time Stochastic Processes is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics include: * Markov processes * Stochastic differential equations * Arbitrage-free markets and financial derivatives * Insurance risk * Population dynamics * Agent-based models New to the Second Edition: * Improved presentation of original concepts * Expanded background on probability theory * Substantial material applicable to finance and biology, including stable laws, Lévy processes, and Itô-Lévy calculus * Supplemental appendix to provide basic facts on semigroups of linear operators An Introduction to Continuous-Time Stochastic Processes, Second Edition will be of interest to a broad audience of students, pure and applied mathematicians, and researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or undergraduate courses, as well as European Masters courses (according to the two-year-long second cycle of the “Bologna Scheme”), the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided Nota de contenido: Part I. The Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Itô Integral -- Stochastic Differential Equations -- Part II. The Applications of Stochastic Processes -- Applications to Finance and Insurance -- Applications to Biology and Medicine -- Part III. Appendices -- Measure and Integration -- Convergence of Probability Measures on Metric Spaces -- Elliptic and Parabolic Operators -- D Semigroups and Linear Operators.- E Stability of Ordinary Differential Equations -- References En línea: http://dx.doi.org/10.1007/978-0-8176-8346-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32703 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : An Introduction to Optimal Control Problems in Life Sciences and Economics : From Mathematical Models to Numerical Simulation with MATLAB® Tipo de documento: documento electrónico Autores: Sebastian Anita ; SpringerLink (Online service) ; Viorel Arnautu ; Vincenzo Capasso Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2011 Otro editor: Imprint: Birkhäuser Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XII, 232 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-8098-5 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Game theory System Mathematical models Biomathematics Control engineering Modeling and Industrial Systems Theory, Economics, Social Behav. Sciences Computational Biology Ordinary Equations Clasificación: 51 Matemáticas Resumen: Combining two important and growing areas of applied mathematics—control theory and modeling—this textbook introduces and builds on methods for simulating and tackling problems in a variety of applied sciences. Control theory has moved from primarily being used in engineering to an important theoretical component for optimal strategies in other sciences, such as therapies in medicine or policy in economics. Applied to mathematical models, control theory has the power to change the way we view biological and financial systems, taking us a step closer to solving concrete problems that arise out of these systems. Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems, stressing concepts and minimizing technicalities. An elementary presentation of advanced concepts from the mathematical theory of optimal control is provided, giving readers the tools to solve significant and realistic problems. Proofs are also given whenever they may serve as a guide to the introduction of new concepts. This approach not only fosters an understanding of how control theory can open up modeling in areas such as the life sciences, medicine, and economics, but also guides readers from applications to new, independent research. Key features include: * An introduction to the main tools of MATLAB®, as well as programs that move from relatively simple ODE applications to more complex PDE models; * Numerous applications to a wide range of subjects, including HIV and insulin treatments, population dynamics, and stock management; * Exploration of cutting-edge topics in later chapters, such as optimal harvesting and optimal control of diffusive models, designed to stimulate further research and theses projects; * Exercises in each chapter, allowing students a chance to work with MATLAB and achieve a better grasp of the applications; * Minimal prerequisites: undergraduate-level calculus; * Appendices with basic concepts and results from functional analysis and ordinary differential equations, including Runge–Kutta methods; * Supplementary MATLAB files are available at the publisher’s website: http://www.birkhauser-science.com/978-0-8176-8097-8/. As a guided tour to methods in optimal control and related computational methods for ODE and PDE models, An Introduction to Optimal Control Problems in Life Sciences and Economics serves as an excellent textbook for graduate and advanced undergraduate courses in mathematics, physics, engineering, computer science, biology, biotechnology, and economics. The work is also a useful reference for researchers and practitioners working with optimal control theory in these areas Nota de contenido: An Introduction to MATLAB. Elementary Models with Applications -- Optimal Control of Ordinary Differential Systems. Optimality Conditions -- Optimal Control of Ordinary Differential Systems. Gradient Methods -- Optimal Harvesting for Age-Structured Population -- Optimal Control of Diffusive Models -- Appendices -- References -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8098-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33101 An Introduction to Optimal Control Problems in Life Sciences and Economics : From Mathematical Models to Numerical Simulation with MATLAB® [documento electrónico] / Sebastian Anita ; SpringerLink (Online service) ; Viorel Arnautu ; Vincenzo Capasso . - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011 . - XII, 232 p : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-8098-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Game theory System Mathematical models Biomathematics Control engineering Modeling and Industrial Systems Theory, Economics, Social Behav. Sciences Computational Biology Ordinary Equations Clasificación: 51 Matemáticas Resumen: Combining two important and growing areas of applied mathematics—control theory and modeling—this textbook introduces and builds on methods for simulating and tackling problems in a variety of applied sciences. Control theory has moved from primarily being used in engineering to an important theoretical component for optimal strategies in other sciences, such as therapies in medicine or policy in economics. Applied to mathematical models, control theory has the power to change the way we view biological and financial systems, taking us a step closer to solving concrete problems that arise out of these systems. Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems, stressing concepts and minimizing technicalities. An elementary presentation of advanced concepts from the mathematical theory of optimal control is provided, giving readers the tools to solve significant and realistic problems. Proofs are also given whenever they may serve as a guide to the introduction of new concepts. This approach not only fosters an understanding of how control theory can open up modeling in areas such as the life sciences, medicine, and economics, but also guides readers from applications to new, independent research. Key features include: * An introduction to the main tools of MATLAB®, as well as programs that move from relatively simple ODE applications to more complex PDE models; * Numerous applications to a wide range of subjects, including HIV and insulin treatments, population dynamics, and stock management; * Exploration of cutting-edge topics in later chapters, such as optimal harvesting and optimal control of diffusive models, designed to stimulate further research and theses projects; * Exercises in each chapter, allowing students a chance to work with MATLAB and achieve a better grasp of the applications; * Minimal prerequisites: undergraduate-level calculus; * Appendices with basic concepts and results from functional analysis and ordinary differential equations, including Runge–Kutta methods; * Supplementary MATLAB files are available at the publisher’s website: http://www.birkhauser-science.com/978-0-8176-8097-8/. As a guided tour to methods in optimal control and related computational methods for ODE and PDE models, An Introduction to Optimal Control Problems in Life Sciences and Economics serves as an excellent textbook for graduate and advanced undergraduate courses in mathematics, physics, engineering, computer science, biology, biotechnology, and economics. The work is also a useful reference for researchers and practitioners working with optimal control theory in these areas Nota de contenido: An Introduction to MATLAB. Elementary Models with Applications -- Optimal Control of Ordinary Differential Systems. Optimality Conditions -- Optimal Control of Ordinary Differential Systems. Gradient Methods -- Optimal Harvesting for Age-Structured Population -- Optimal Control of Diffusive Models -- Appendices -- References -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8098-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33101 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : Cellular Automaton Modeling of Biological Pattern Formation : Characterization, Applications, and Analysis Tipo de documento: documento electrónico Autores: Andreas Deutsch ; SpringerLink (Online service) ; Sabine Dormann Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2005 Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XXIII, 331 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4415-4 Idioma : Inglés (eng) Palabras clave: Life sciences Computer simulation Applied mathematics Engineering Mathematical models Biomathematics Sciences Sciences, general and Computational Biology Modeling Industrial Mathematics Physiological, Cellular Medical Topics Applications of Simulation Clasificación: 51 Matemáticas Resumen: This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is divided into three parts: Part I deals with general principles, theories, and models of pattern formation; Part II examines cellular automaton modeling; and Part III explains various applications. The models and analytic techniques described may be extended to other exciting applications in biology, medicine, and immunology. Key topics and features: * Provides an introduction and historical account of the principles of biological pattern formation (morphogenesis) * Gives an overview of mathematical modeling approaches to morphogenesis, and an introduction to cellular automata and analytic techniques * A supplementary web-based Java applet---Cellular Automaton Simulator---enables interactive simulation of various cellular automaton applications described in the book; available on the internet at www.biomodeling.info * Self-contained presentation is accessible to a broad audience; only basic calculus and linear algebra are required * Careful balance of theory, models, and applications useful to both experimentalists and theoreticians * Includes suggestions for further research topics The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling. The book's accessible presentation and interdisciplinary approach make it suitable for graduate and advanced undergraduate courses and seminars in mathematical biology, biomodeling, and biocomputing Nota de contenido: General Principles, Theories, and Models of Pattern Formation -- and Outline -- On the Origin of Patterns -- Mathematical Modeling of Biological Pattern Formation -- Cellular Automaton Modeling -- Cellular Automata -- Applications -- Random Movement -- Growth Processes -- Adhesive Cell Interaction -- Alignment and Cellular Swarming -- Pigment Cell Pattern Formation -- Tissue and Tumor Development -- Turing Patterns and Excitable Media -- Discussion and Outlook En línea: http://dx.doi.org/10.1007/b138451 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35173 Cellular Automaton Modeling of Biological Pattern Formation : Characterization, Applications, and Analysis [documento electrónico] / Andreas Deutsch ; SpringerLink (Online service) ; Sabine Dormann . - Boston, MA : Birkhäuser Boston, 2005 . - XXIII, 331 p : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-4415-4
Idioma : Inglés (eng)
Palabras clave: Life sciences Computer simulation Applied mathematics Engineering Mathematical models Biomathematics Sciences Sciences, general and Computational Biology Modeling Industrial Mathematics Physiological, Cellular Medical Topics Applications of Simulation Clasificación: 51 Matemáticas Resumen: This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is divided into three parts: Part I deals with general principles, theories, and models of pattern formation; Part II examines cellular automaton modeling; and Part III explains various applications. The models and analytic techniques described may be extended to other exciting applications in biology, medicine, and immunology. Key topics and features: * Provides an introduction and historical account of the principles of biological pattern formation (morphogenesis) * Gives an overview of mathematical modeling approaches to morphogenesis, and an introduction to cellular automata and analytic techniques * A supplementary web-based Java applet---Cellular Automaton Simulator---enables interactive simulation of various cellular automaton applications described in the book; available on the internet at www.biomodeling.info * Self-contained presentation is accessible to a broad audience; only basic calculus and linear algebra are required * Careful balance of theory, models, and applications useful to both experimentalists and theoreticians * Includes suggestions for further research topics The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling. The book's accessible presentation and interdisciplinary approach make it suitable for graduate and advanced undergraduate courses and seminars in mathematical biology, biomodeling, and biocomputing Nota de contenido: General Principles, Theories, and Models of Pattern Formation -- and Outline -- On the Origin of Patterns -- Mathematical Modeling of Biological Pattern Formation -- Cellular Automaton Modeling -- Cellular Automata -- Applications -- Random Movement -- Growth Processes -- Adhesive Cell Interaction -- Alignment and Cellular Swarming -- Pigment Cell Pattern Formation -- Tissue and Tumor Development -- Turing Patterns and Excitable Media -- Discussion and Outlook En línea: http://dx.doi.org/10.1007/b138451 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35173 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : Classical Mechanics with Mathematica® Tipo de documento: documento electrónico Autores: Antonio Romano ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2012 Otro editor: Imprint: Birkhäuser Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XIV, 506 p. 127 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8352-8 Idioma : Inglés (eng) Palabras clave: Mathematics Differential geometry Mathematical physics Physics Mechanics Fluids Continuum mechanics Geometry Fluid- and Aerodynamics of Materials Methods in Clasificación: 51 Matemáticas Resumen: This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also painting a clear picture of the most modern developments. Throughout, it makes heavy use of the powerful tools offered by Mathematica® . The volume is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. With a unique selection of topics and a large array of exercises to reinforce concepts, Classical Mechanics with Mathematica is an excellent resource for graduate students in physics. It can also serve as a reference for researchers wishing to gain a deeper understanding of both classical and modern mechanics Nota de contenido: I Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus -- 10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics -- A First-Order PDE.- B Fourier’s Series.- References.- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8352-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32705 Classical Mechanics with Mathematica® [documento electrónico] / Antonio Romano ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012 . - XIV, 506 p. 127 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-8352-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential geometry Mathematical physics Physics Mechanics Fluids Continuum mechanics Geometry Fluid- and Aerodynamics of Materials Methods in Clasificación: 51 Matemáticas Resumen: This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also painting a clear picture of the most modern developments. Throughout, it makes heavy use of the powerful tools offered by Mathematica® . The volume is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. With a unique selection of topics and a large array of exercises to reinforce concepts, Classical Mechanics with Mathematica is an excellent resource for graduate students in physics. It can also serve as a reference for researchers wishing to gain a deeper understanding of both classical and modern mechanics Nota de contenido: I Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus -- 10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics -- A First-Order PDE.- B Fourier’s Series.- References.- Index En línea: http://dx.doi.org/10.1007/978-0-8176-8352-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32705 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Generalized Collocation Methods / SpringerLink (Online service) ; Nicola Bellomo ; Bertrand Lods ; Roberto Revelli ; Luca Ridolfi (2008)
Permalink
Permalink
PermalinkPermalinkPermalinkPermalink
PermalinkPermalink
