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Título : Complex Analysis with Applications in Science and Engineering Tipo de documento: documento electrónico Autores: Harold Cohen ; SpringerLink (Online service) Editorial: Boston, MA : Springer US Fecha de publicación: 2007 Número de páginas: XXIII, 477 p Il.: online resource ISBN/ISSN/DL: 978-0-387-73058-5 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables Physics Applied mathematics Engineering a Complex Variable Theoretical, Mathematical and Computational Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applications in mathematics, physics and engineering. In this edition there are many new problems, revised sections, and an entirely new chapter on analytic continuation. This work will serve as a textbook for undergraduate and graduate students in the areas noted above. Key Features of this Second Edition: Excellent coverage of topics such as series, residues and the evaluation of integrals, multivalued functions, conformal mapping, dispersion relations and analytic continuation Systematic and clear presentation with many diagrams to clarify discussion of the material Numerous worked examples and a large number of assigned problems Excerpts from reviews of the 1st edition: "The textbook Fundamentals and Applications of Complex Analysis by Harold Cohen is an idiosyncratic treatment of the subject, written by a physicist, with lots of interesting insights and alternative ways of viewing the ideas and methods of complex analysis. The book includes several excursions into applications of interest to physicists and electrical engineers, as circuit analysis and a chapter on dispersion relations. The book would be of particular interest to physics and electrical engineering students. Mathematicians might find it a good hunting ground for offbeat approaches to familiar themes and for various other serendipities." —Theodore W. Gamelin, professor of mathematics, UCLA "This book might be useful for readers who are still familiar with complex analysis and who are searching for several examples, exercises or applications in physics and engineering…" — Zentralblatt Math Nota de contenido: Complex Numbers -- Complex Variables -- Series, Limits, and Residues -- Evaluation of Integrals -- Multivalued Functions, Branch Points, and Cuts -- Singularities of Functions Defined by Integrals -- Conformal Mapping -- Dispersion Relations -- Analytic Continuation En línea: http://dx.doi.org/10.1007/978-0-387-73058-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34536 Complex Analysis with Applications in Science and Engineering [documento electrónico] / Harold Cohen ; SpringerLink (Online service) . - Boston, MA : Springer US, 2007 . - XXIII, 477 p : online resource.
ISBN : 978-0-387-73058-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables Physics Applied mathematics Engineering a Complex Variable Theoretical, Mathematical and Computational Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applications in mathematics, physics and engineering. In this edition there are many new problems, revised sections, and an entirely new chapter on analytic continuation. This work will serve as a textbook for undergraduate and graduate students in the areas noted above. Key Features of this Second Edition: Excellent coverage of topics such as series, residues and the evaluation of integrals, multivalued functions, conformal mapping, dispersion relations and analytic continuation Systematic and clear presentation with many diagrams to clarify discussion of the material Numerous worked examples and a large number of assigned problems Excerpts from reviews of the 1st edition: "The textbook Fundamentals and Applications of Complex Analysis by Harold Cohen is an idiosyncratic treatment of the subject, written by a physicist, with lots of interesting insights and alternative ways of viewing the ideas and methods of complex analysis. The book includes several excursions into applications of interest to physicists and electrical engineers, as circuit analysis and a chapter on dispersion relations. The book would be of particular interest to physics and electrical engineering students. Mathematicians might find it a good hunting ground for offbeat approaches to familiar themes and for various other serendipities." —Theodore W. Gamelin, professor of mathematics, UCLA "This book might be useful for readers who are still familiar with complex analysis and who are searching for several examples, exercises or applications in physics and engineering…" — Zentralblatt Math Nota de contenido: Complex Numbers -- Complex Variables -- Series, Limits, and Residues -- Evaluation of Integrals -- Multivalued Functions, Branch Points, and Cuts -- Singularities of Functions Defined by Integrals -- Conformal Mapping -- Dispersion Relations -- Analytic Continuation En línea: http://dx.doi.org/10.1007/978-0-387-73058-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34536 Ejemplares
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Título : Complex Geometry : An Introduction Tipo de documento: documento electrónico Autores: Daniel Huybrechts ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2005 Colección: Universitext, ISSN 0172-5939 Número de páginas: XII, 309 p Il.: online resource ISBN/ISSN/DL: 978-3-540-26687-7 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry Functions of complex variables Geometry a Complex Variable Clasificación: 51 Matemáticas Resumen: Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it an highly attractive area, both for mathematicians and theoretical physicists. The author’s goal is to provide an easily accessible introduction to the subject. The book contains detailed accounts of the basic concepts and the many exercises illustrate the theory. Appendices to various chapters allow an outlook to recent research directions. Daniel Huybrechts is currently Professor of Mathematics at the University Denis Diderot in Paris Nota de contenido: Local Theory -- Complex Manifolds -- Kähler Manifolds -- Vector Bundles -- Applications of Cohomology -- Deformations of Complex Structures En línea: http://dx.doi.org/10.1007/b137952 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35248 Complex Geometry : An Introduction [documento electrónico] / Daniel Huybrechts ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2005 . - XII, 309 p : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-3-540-26687-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry Functions of complex variables Geometry a Complex Variable Clasificación: 51 Matemáticas Resumen: Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it an highly attractive area, both for mathematicians and theoretical physicists. The author’s goal is to provide an easily accessible introduction to the subject. The book contains detailed accounts of the basic concepts and the many exercises illustrate the theory. Appendices to various chapters allow an outlook to recent research directions. Daniel Huybrechts is currently Professor of Mathematics at the University Denis Diderot in Paris Nota de contenido: Local Theory -- Complex Manifolds -- Kähler Manifolds -- Vector Bundles -- Applications of Cohomology -- Deformations of Complex Structures En línea: http://dx.doi.org/10.1007/b137952 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35248 Ejemplares
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Título : Complex Variables with Applications Tipo de documento: documento electrónico Autores: S. Ponnusamy ; SpringerLink (Online service) ; Silverman, Herb Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Número de páginas: XIV, 514 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4513-7 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables Applied mathematics Engineering Geometry Number theory a Complex Variable Applications Several Variables and Analytic Spaces Theory Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination. The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables designed for scientists and engineers or for mathematics majors interested in further pursuing the general theory of complex analysis. The only prerequisite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study Nota de contenido: Algebraic and Geometric Preliminaries -- Topological and Analytic Preliminaries -- Bilinear Transformations and Mappings -- Elementary Functions -- Analytic Functions -- Power Series -- Complex Integration and Cauchy’s Theorem -- Applications of Cauchy’s Theorem -- Laurent Series and the Residue Theorem -- Harmonic Functions -- Conformal Mapping and the Riemann Mapping Theorem -- Entire and Meromorphic Functions -- Analytic Continuation En línea: http://dx.doi.org/10.1007/978-0-8176-4513-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34878 Complex Variables with Applications [documento electrónico] / S. Ponnusamy ; SpringerLink (Online service) ; Silverman, Herb . - Boston, MA : Birkhäuser Boston, 2006 . - XIV, 514 p : online resource.
ISBN : 978-0-8176-4513-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables Applied mathematics Engineering Geometry Number theory a Complex Variable Applications Several Variables and Analytic Spaces Theory Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination. The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables designed for scientists and engineers or for mathematics majors interested in further pursuing the general theory of complex analysis. The only prerequisite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study Nota de contenido: Algebraic and Geometric Preliminaries -- Topological and Analytic Preliminaries -- Bilinear Transformations and Mappings -- Elementary Functions -- Analytic Functions -- Power Series -- Complex Integration and Cauchy’s Theorem -- Applications of Cauchy’s Theorem -- Laurent Series and the Residue Theorem -- Harmonic Functions -- Conformal Mapping and the Riemann Mapping Theorem -- Entire and Meromorphic Functions -- Analytic Continuation En línea: http://dx.doi.org/10.1007/978-0-8176-4513-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34878 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Complex Networks and Dynamics / Pasquale Commendatore ; SpringerLink (Online service) ; Mariano Matilla García ; Luis M. Varela ; Jose S. Cánovas (2016)
Título : Complex Networks and Dynamics : Social and Economic Interactions Tipo de documento: documento electrónico Autores: Pasquale Commendatore ; SpringerLink (Online service) ; Mariano Matilla García ; Luis M. Varela ; Jose S. Cánovas Editorial: Cham : Springer International Publishing Fecha de publicación: 2016 Otro editor: Imprint: Springer Colección: Lecture Notes in Economics and Mathematical Systems, ISSN 0075-8442 num. 683 Número de páginas: XIII, 359 p. 77 illus., 35 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-319-40803-3 Idioma : Inglés (eng) Palabras clave: Game theory System Complexity, Computational Economic Economics Theory/Quantitative Economics/Mathematical Methods Complex Systems Complexity Theory, Economics, Social and Behav. Sciences Applications of Nonlinear Dynamics Chaos Theory Clasificación: 330 Economía en general Resumen: This volume sheds light on the current state of complex networks and nonlinear dynamics applied to the understanding of economic and social phenomena ranging from geographical economics to macroeconomics and finance, and its purpose is to give readers an overview of several interesting topics for research at an intermediate level. Three different and interdisciplinary, but complementary, aspects of networks are put together in a single piece, namely: (i) complex networks theory, (ii) applied network analysis to social and economic interrelations, and (iii) dynamical evolution of systems and networks. The volume includes contributions from excellent scholars in economics and social sciences as well as leading experts in the fields of complex networks and nonlinear dynamics Nota de contenido: Part I. Complex Networks -- Chapter 1.Luis Miguel Varela Cabo, Giulia Rotundo: Complex network analysis and nonlinear dynamics.-Chapter 2.Dunia López Pintado: An Overview of Diffusion in Complex Networks -- Chapter 3.Ugo Merlone, Davide Radi, Angelo Romano: Opinion Dynamics on Networks -- Chapter 4.Mariano Matilla-García and Jesus Mur: Econometric aspects of social networks -- Chapter 5.Antonio Rodriguez-Moral and Marc Vorsatz: An overview of the measurement of segregation: classical approaches and social networks -- Part II: Complex network analysis applied to economic theoretical and empirical issues -- Chapter 6.Roberto Basile, Pasquale Commendatore, Luca De Benedictis and Ingrid Kubin: An investigation of interregional trade network structures -- Chapter 7.Giorgio Fagiolo: The Empirics of Macroeconomic Networks: A Critical Review -- Chapter 8.Spiros Bougheas and Alan Kirman: Bank Insolvencies, Priority Claims and Systemic Risk -- Chapter 9.Anna Maria D'Arcangelis and Giulia Rotundo: Complex networks in finance -- Part III: Dynamical systems -- Chapter 10. Ian Stewart: A Formal Setting for Network Dynamics -- Chapter 11.Jose S. Cánovas and Maria Munoz Guillermo: Dynamics on large sets and its applications to oligopoly dynamics -- Chapter 12.Giovanny Guerrero, Jose A. Langa and Antonio Suarez: Attracting complex networks -- Chapter 13.Tönu Puu: Good Old Economic Geography En línea: http://dx.doi.org/10.1007/978-3-319-40803-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=41679 Complex Networks and Dynamics : Social and Economic Interactions [documento electrónico] / Pasquale Commendatore ; SpringerLink (Online service) ; Mariano Matilla García ; Luis M. Varela ; Jose S. Cánovas . - Cham : Springer International Publishing : Imprint: Springer, 2016 . - XIII, 359 p. 77 illus., 35 illus. in color : online resource. - (Lecture Notes in Economics and Mathematical Systems, ISSN 0075-8442; 683) .
ISBN : 978-3-319-40803-3
Idioma : Inglés (eng)
Palabras clave: Game theory System Complexity, Computational Economic Economics Theory/Quantitative Economics/Mathematical Methods Complex Systems Complexity Theory, Economics, Social and Behav. Sciences Applications of Nonlinear Dynamics Chaos Theory Clasificación: 330 Economía en general Resumen: This volume sheds light on the current state of complex networks and nonlinear dynamics applied to the understanding of economic and social phenomena ranging from geographical economics to macroeconomics and finance, and its purpose is to give readers an overview of several interesting topics for research at an intermediate level. Three different and interdisciplinary, but complementary, aspects of networks are put together in a single piece, namely: (i) complex networks theory, (ii) applied network analysis to social and economic interrelations, and (iii) dynamical evolution of systems and networks. The volume includes contributions from excellent scholars in economics and social sciences as well as leading experts in the fields of complex networks and nonlinear dynamics Nota de contenido: Part I. Complex Networks -- Chapter 1.Luis Miguel Varela Cabo, Giulia Rotundo: Complex network analysis and nonlinear dynamics.-Chapter 2.Dunia López Pintado: An Overview of Diffusion in Complex Networks -- Chapter 3.Ugo Merlone, Davide Radi, Angelo Romano: Opinion Dynamics on Networks -- Chapter 4.Mariano Matilla-García and Jesus Mur: Econometric aspects of social networks -- Chapter 5.Antonio Rodriguez-Moral and Marc Vorsatz: An overview of the measurement of segregation: classical approaches and social networks -- Part II: Complex network analysis applied to economic theoretical and empirical issues -- Chapter 6.Roberto Basile, Pasquale Commendatore, Luca De Benedictis and Ingrid Kubin: An investigation of interregional trade network structures -- Chapter 7.Giorgio Fagiolo: The Empirics of Macroeconomic Networks: A Critical Review -- Chapter 8.Spiros Bougheas and Alan Kirman: Bank Insolvencies, Priority Claims and Systemic Risk -- Chapter 9.Anna Maria D'Arcangelis and Giulia Rotundo: Complex networks in finance -- Part III: Dynamical systems -- Chapter 10. Ian Stewart: A Formal Setting for Network Dynamics -- Chapter 11.Jose S. Cánovas and Maria Munoz Guillermo: Dynamics on large sets and its applications to oligopoly dynamics -- Chapter 12.Giovanny Guerrero, Jose A. Langa and Antonio Suarez: Attracting complex networks -- Chapter 13.Tönu Puu: Good Old Economic Geography En línea: http://dx.doi.org/10.1007/978-3-319-40803-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=41679 Ejemplares
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Título : Complex Analysis Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; F. Gherardelli Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: C.I.M.E. Summer Schools num. 62 Número de páginas: 463 p. 3 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-10964-5 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables a Complex Variable Several Variables and Analytic Spaces Clasificación: 51 Matemáticas Resumen: A. Andreotti: Nine lectures on complex analysis.- J.J. Kohn: Propagations of singularities for the Cauchy-Riemann equations.- Yum-Tong Siu: The mixed case of the direct image theorem and its applications Nota de contenido: A. Andreotti: Nine lectures on complex analysis -- J.J. Kohn: Propagations of singularities for the Cauchy-Riemann equations -- Yum-Tong Siu: The mixed case of the direct image theorem and its applications En línea: http://dx.doi.org/10.1007/978-3-642-10964-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33305 Complex Analysis [documento electrónico] / SpringerLink (Online service) ; F. Gherardelli . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - 463 p. 3 illus : online resource. - (C.I.M.E. Summer Schools; 62) .
ISBN : 978-3-642-10964-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables a Complex Variable Several Variables and Analytic Spaces Clasificación: 51 Matemáticas Resumen: A. Andreotti: Nine lectures on complex analysis.- J.J. Kohn: Propagations of singularities for the Cauchy-Riemann equations.- Yum-Tong Siu: The mixed case of the direct image theorem and its applications Nota de contenido: A. Andreotti: Nine lectures on complex analysis -- J.J. Kohn: Propagations of singularities for the Cauchy-Riemann equations -- Yum-Tong Siu: The mixed case of the direct image theorem and its applications En línea: http://dx.doi.org/10.1007/978-3-642-10964-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33305 Ejemplares
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