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Link de la búsquedaAdvances in Applied Analysis / SpringerLink (Online service) ; Sergei V. Rogosin ; Anna A. Koroleva (2012)
Título : Advances in Applied Analysis Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Sergei V. Rogosin ; Anna A. Koroleva Editorial: Basel : Springer Basel Fecha de publicación: 2012 Otro editor: Imprint: Birkhäuser Colección: Trends in Mathematics Número de páginas: VIII, 256 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0417-2 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of complex variables Partial differential equations real Number theory a Complex Variable Differential Equations Theory Real Clasificación: 51 Matemáticas Resumen: This book contains survey papers based on the lectures presented at the 3rd International Winter School “Modern Problems of Mathematics and Mechanics” held in January 2010 at the Belarusian State University, Minsk. These lectures are devoted to different problems of modern analysis and its applications. An extended presentation of modern problems of applied analysis will enable the reader to get familiar with new approaches of mostly interdisciplinary character. The results discussed are application oriented and present new insight into applied problems of growing importance such as applications to composite materials, anomalous diffusion, and fluid dynamics Nota de contenido: Introduction -- Kisil, Vladimir V.: Erlangen Program at Large: Brief Outline -- Laurincikas, A.: The Riemann zeta-function: approximation of analytic functions -- Luchko, Yury: Anomalous diffusion: models, their analysis, and interpretation -- Mityushev, Vladimir, V.: R-linear and Riemann-Hilbert problems for multiply connected domains -- Plaksa, S. A.: Commutative algebras associated with classic equations of mathematical physics -- Rogosin, Sergei V.: 2D Free Boundary Value Problems En línea: http://dx.doi.org/10.1007/978-3-0348-0417-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32890 Advances in Applied Analysis [documento electrónico] / SpringerLink (Online service) ; Sergei V. Rogosin ; Anna A. Koroleva . - Basel : Springer Basel : Imprint: Birkhäuser, 2012 . - VIII, 256 p : online resource. - (Trends in Mathematics) .
ISBN : 978-3-0348-0417-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of complex variables Partial differential equations real Number theory a Complex Variable Differential Equations Theory Real Clasificación: 51 Matemáticas Resumen: This book contains survey papers based on the lectures presented at the 3rd International Winter School “Modern Problems of Mathematics and Mechanics” held in January 2010 at the Belarusian State University, Minsk. These lectures are devoted to different problems of modern analysis and its applications. An extended presentation of modern problems of applied analysis will enable the reader to get familiar with new approaches of mostly interdisciplinary character. The results discussed are application oriented and present new insight into applied problems of growing importance such as applications to composite materials, anomalous diffusion, and fluid dynamics Nota de contenido: Introduction -- Kisil, Vladimir V.: Erlangen Program at Large: Brief Outline -- Laurincikas, A.: The Riemann zeta-function: approximation of analytic functions -- Luchko, Yury: Anomalous diffusion: models, their analysis, and interpretation -- Mityushev, Vladimir, V.: R-linear and Riemann-Hilbert problems for multiply connected domains -- Plaksa, S. A.: Commutative algebras associated with classic equations of mathematical physics -- Rogosin, Sergei V.: 2D Free Boundary Value Problems En línea: http://dx.doi.org/10.1007/978-3-0348-0417-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32890 Ejemplares
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Título : An Introduction to Complex Analysis Tipo de documento: documento electrónico Autores: Ravi P. Agarwal ; SpringerLink (Online service) ; Kanishka Perera ; Sandra Pinelas Editorial: Boston, MA : Springer US Fecha de publicación: 2011 Número de páginas: XIV, 331 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-0195-7 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functions of complex variables a Complex Variable Clasificación: 51 Matemáticas Resumen: This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: -Effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures - Uses detailed examples to drive the presentation -Includes numerous exercise sets that encourage pursuing extensions of the material, each with an “Answers or Hints” section -covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics -Provides a concise history of complex numbers An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus Nota de contenido: Preface.-Complex Numbers.-Complex Numbers II -- Complex Numbers III.-Set Theory in the Complex Plane.-Complex Functions.-Analytic Functions I.-Analytic Functions II.-Elementary Functions I -- Elementary Functions II -- Mappings by Functions -- Mappings by Functions II -- Curves, Contours, and Simply Connected Domains -- Complex Integration -- Independence of Path -- Cauchy–Goursat Theorem -- Deformation Theorem -- Cauchy’s Integral Formula -- Cauchy’s Integral Formula for Derivatives -- Fundamental Theorem of Algebra -- Maximum Modulus Principle -- Sequences and Series of Numbers -- Sequences and Series of Functions -- Power Series -- Taylor’s Series -- Laurent’s Series -- Zeros of Analytic Functions -- Analytic Continuation -- Symmetry and Reflection -- Singularities and Poles I -- Singularities and Poles II -- Cauchy’s Residue Theorem -- Evaluation of Real Integrals by Contour Integration I -- Evaluation of Real Integrals by Contour Integration II -- Indented Contour Integrals -- Contour Integrals Involving Multi–valued Functions -- Summation of Series. Argument Principle and Rouch´e and Hurwitz Theorems -- Behavior of Analytic Mappings -- Conformal Mappings -- Harmonic Functions -- The Schwarz–Christoffel Transformation -- Infinite Products -- Weierstrass’s Factorization Theorem -- Mittag–Leffler’s Theorem -- Periodic Functions -- The Riemann Zeta Function -- Bieberbach’s Conjecture -- The Riemann Surface -- Julia and Mandelbrot Sets -- History of Complex Numbers -- References for Further Reading -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-0195-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33215 An Introduction to Complex Analysis [documento electrónico] / Ravi P. Agarwal ; SpringerLink (Online service) ; Kanishka Perera ; Sandra Pinelas . - Boston, MA : Springer US, 2011 . - XIV, 331 p : online resource.
ISBN : 978-1-4614-0195-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functions of complex variables a Complex Variable Clasificación: 51 Matemáticas Resumen: This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: -Effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures - Uses detailed examples to drive the presentation -Includes numerous exercise sets that encourage pursuing extensions of the material, each with an “Answers or Hints” section -covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics -Provides a concise history of complex numbers An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus Nota de contenido: Preface.-Complex Numbers.-Complex Numbers II -- Complex Numbers III.-Set Theory in the Complex Plane.-Complex Functions.-Analytic Functions I.-Analytic Functions II.-Elementary Functions I -- Elementary Functions II -- Mappings by Functions -- Mappings by Functions II -- Curves, Contours, and Simply Connected Domains -- Complex Integration -- Independence of Path -- Cauchy–Goursat Theorem -- Deformation Theorem -- Cauchy’s Integral Formula -- Cauchy’s Integral Formula for Derivatives -- Fundamental Theorem of Algebra -- Maximum Modulus Principle -- Sequences and Series of Numbers -- Sequences and Series of Functions -- Power Series -- Taylor’s Series -- Laurent’s Series -- Zeros of Analytic Functions -- Analytic Continuation -- Symmetry and Reflection -- Singularities and Poles I -- Singularities and Poles II -- Cauchy’s Residue Theorem -- Evaluation of Real Integrals by Contour Integration I -- Evaluation of Real Integrals by Contour Integration II -- Indented Contour Integrals -- Contour Integrals Involving Multi–valued Functions -- Summation of Series. Argument Principle and Rouch´e and Hurwitz Theorems -- Behavior of Analytic Mappings -- Conformal Mappings -- Harmonic Functions -- The Schwarz–Christoffel Transformation -- Infinite Products -- Weierstrass’s Factorization Theorem -- Mittag–Leffler’s Theorem -- Periodic Functions -- The Riemann Zeta Function -- Bieberbach’s Conjecture -- The Riemann Surface -- Julia and Mandelbrot Sets -- History of Complex Numbers -- References for Further Reading -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-0195-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33215 Ejemplares
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Título : An Introduction to Operators on the Hardy-Hilbert Space Tipo de documento: documento electrónico Autores: Rubén A. Martínez-Avendaño ; SpringerLink (Online service) ; Peter Rosenthal Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Colección: Graduate Texts in Mathematics, ISSN 0072-5285 num. 237 Número de páginas: XII, 220 p Il.: online resource ISBN/ISSN/DL: 978-0-387-48578-2 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Functions of complex variables Operator theory Theory Analysis a Complex Variable Clasificación: 51 Matemáticas Resumen: The subject of this book is operator theory on the Hardy space H2, also called the Hardy-Hilbert space. This is a popular area, partially because the Hardy-Hilbert space is the most natural setting for operator theory. A reader who masters the material covered in this book will have acquired a firm foundation for the study of all spaces of analytic functions and of operators on them. The goal is to provide an elementary and engaging introduction to this subject that will be readable by everyone who has understood introductory courses in complex analysis and in functional analysis. The exposition, blending techniques from "soft" and "hard" analysis, is intended to be as clear and instructive as possible. Many of the proofs are very elegant. This book evolved from a graduate course that was taught at the University of Toronto. It should prove suitable as a textbook for beginning graduate students, or even for well-prepared advanced undergraduates, as well as for independent study. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering Nota de contenido: The Unilateral Shift and Factorization of Functions -- Toeplitz Operators -- Hankel Operators -- Composition Operators -- Further Reading En línea: http://dx.doi.org/10.1007/978-0-387-48578-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34477 An Introduction to Operators on the Hardy-Hilbert Space [documento electrónico] / Rubén A. Martínez-Avendaño ; SpringerLink (Online service) ; Peter Rosenthal . - New York, NY : Springer New York, 2007 . - XII, 220 p : online resource. - (Graduate Texts in Mathematics, ISSN 0072-5285; 237) .
ISBN : 978-0-387-48578-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Functions of complex variables Operator theory Theory Analysis a Complex Variable Clasificación: 51 Matemáticas Resumen: The subject of this book is operator theory on the Hardy space H2, also called the Hardy-Hilbert space. This is a popular area, partially because the Hardy-Hilbert space is the most natural setting for operator theory. A reader who masters the material covered in this book will have acquired a firm foundation for the study of all spaces of analytic functions and of operators on them. The goal is to provide an elementary and engaging introduction to this subject that will be readable by everyone who has understood introductory courses in complex analysis and in functional analysis. The exposition, blending techniques from "soft" and "hard" analysis, is intended to be as clear and instructive as possible. Many of the proofs are very elegant. This book evolved from a graduate course that was taught at the University of Toronto. It should prove suitable as a textbook for beginning graduate students, or even for well-prepared advanced undergraduates, as well as for independent study. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering Nota de contenido: The Unilateral Shift and Factorization of Functions -- Toeplitz Operators -- Hankel Operators -- Composition Operators -- Further Reading En línea: http://dx.doi.org/10.1007/978-0-387-48578-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34477 Ejemplares
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Título : Analysis and Mathematical Physics Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Björn Gustafsson ; Alexander Vasil’ev Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2009 Colección: Trends in Mathematics Número de páginas: VIII, 514 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-9906-1 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functions of complex variables Applied mathematics Engineering Physics Methods in a Complex Variable Applications Clasificación: 51 Matemáticas Resumen: Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007 Nota de contenido: From Diff (S 1) to Univalent Functions. Cases of Degeneracy -- Poincaré—Steklov Integral Equations and Moduli of Pants -- Generalized Hamilton—Jacobi Equation and Heat Kernel on Step Two Nilpotent Lie Groups -- Bergen Lecture on -Neumann Problem -- Numerical Scheme for Laplacian Growth Models Based on the Helmholtz—Kirchhoff Method -- Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function -- Nevanlinna Domains in Problems of Polyanalytic Polynomial Approximation -- Potential Theory in Denjoy Domains -- Carathéodory Convergence of Immediate Basins of Attraction to a Siegel Disk -- Rings and Lipschitz Continuity of Quasiconformal Mappings -- A Theoretical Algorithm to get a Schottky Uniformization from a Fuchsian one -- Scattering from Sparse Potentials: a Deterministic Approach -- Application of ATS in a Quantum-optical Model -- Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas -- Fourier Transforms of UD Integrals -- Fredholm Eigenvalues of Jordan Curves: Geometric, Variational and Computational Aspects -- A Note on Life-span of Classical Solutions to the Hele—Shaw Problem -- The Fourier Transforms of General Monotone Functions -- Traces of Hörmander Algebras on Discrete Sequences -- Resonance Dynamics and Decoherence -- Ramified Integrals, Casselman Phenomenon, and Holomorphic Continuations of Group Representations -- The Stability of Solitary Waves of Depression -- Singular and Tangent Slit Solutions to the Löwner Equation -- A Remark on Amoebas in Higher Codimensions -- Quadratic Differentials and Weighted Graphs on Compact Surfaces -- Riesz Transforms and Rectifiability En línea: http://dx.doi.org/10.1007/978-3-7643-9906-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34107 Analysis and Mathematical Physics [documento electrónico] / SpringerLink (Online service) ; Björn Gustafsson ; Alexander Vasil’ev . - Basel : Birkhäuser Basel, 2009 . - VIII, 514 p : online resource. - (Trends in Mathematics) .
ISBN : 978-3-7643-9906-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functions of complex variables Applied mathematics Engineering Physics Methods in a Complex Variable Applications Clasificación: 51 Matemáticas Resumen: Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007 Nota de contenido: From Diff (S 1) to Univalent Functions. Cases of Degeneracy -- Poincaré—Steklov Integral Equations and Moduli of Pants -- Generalized Hamilton—Jacobi Equation and Heat Kernel on Step Two Nilpotent Lie Groups -- Bergen Lecture on -Neumann Problem -- Numerical Scheme for Laplacian Growth Models Based on the Helmholtz—Kirchhoff Method -- Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function -- Nevanlinna Domains in Problems of Polyanalytic Polynomial Approximation -- Potential Theory in Denjoy Domains -- Carathéodory Convergence of Immediate Basins of Attraction to a Siegel Disk -- Rings and Lipschitz Continuity of Quasiconformal Mappings -- A Theoretical Algorithm to get a Schottky Uniformization from a Fuchsian one -- Scattering from Sparse Potentials: a Deterministic Approach -- Application of ATS in a Quantum-optical Model -- Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas -- Fourier Transforms of UD Integrals -- Fredholm Eigenvalues of Jordan Curves: Geometric, Variational and Computational Aspects -- A Note on Life-span of Classical Solutions to the Hele—Shaw Problem -- The Fourier Transforms of General Monotone Functions -- Traces of Hörmander Algebras on Discrete Sequences -- Resonance Dynamics and Decoherence -- Ramified Integrals, Casselman Phenomenon, and Holomorphic Continuations of Group Representations -- The Stability of Solitary Waves of Depression -- Singular and Tangent Slit Solutions to the Löwner Equation -- A Remark on Amoebas in Higher Codimensions -- Quadratic Differentials and Weighted Graphs on Compact Surfaces -- Riesz Transforms and Rectifiability En línea: http://dx.doi.org/10.1007/978-3-7643-9906-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34107 Ejemplares
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Título : Analysis II Tipo de documento: documento electrónico Autores: Herbert Amann ; SpringerLink (Online service) ; Joachim Escher Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Número de páginas: XII, 400 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7478-5 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functional Functions of complex variables Special functions a Complex Variable Mathematics, general Clasificación: 51 Matemáticas Resumen: As with the ?rst, the secondvolume containssubstantially morematerialthancan be covered in a one-semester course. Such courses may omit many beautiful and well-grounded applications which connect broadly to many areas of mathematics. We of course hope that students will pursue this material independently; teachers may ?nd it useful for undergraduate seminars. For an overview of the material presented, consult the table of contents and the chapter introductions. As before, we stress that doing the numerous exercises is indispensable for understanding the subject matter, and they also round out and amplify the main text. In writing this volume, we are indebted to the help of many. We especially thank our friends and colleages Pavol Quittner and Gieri Simonett. They have not only meticulously reviewed the entire manuscript and assisted in weeding out errors but also, through their valuable suggestions for improvement, contributed essentially to the ?nal version. We also extend great thanks to our sta? for their careful perusal of the entire manuscript and for tracking errata and inaccuracies. Our most heartfelt thank extends again to our “typesetting perfectionist”, 1 without whose tireless e?ort this book would not look nearly so nice. We also thank Andreas for helping resolve hardware and software problems. Finally, we extend thanks to Thomas Hintermann and to Birkh¨ auser for the good working relationship and their understanding of our desired deadlines Nota de contenido: Preface -- VI. Integral Calculus in One Variable - 1. Step Continuous Functions - 2. Continuous Extensions - 3. The Cauchy-Riemann Integral - 4. Properties of the Integral - 5. The Technology of Integration - 6. Sums and Integrals - 7. Fourier Series - 8. Improper Integrals - 9. The Gamma Function -- VII. Differential Calculus in Several Variables - 1. Continuous Linear Mappings - 2. Differentiability - 3. Calculation Rules - 4. Multilinear Mappings - 5. Higher Derivatives - 6. Nemytski Operators and Calculus of Variations - 7. Inverse Mappings - 8. Implicit Functions - 9. Manifolds - 10. Tangents and Normals -- VIII. Line Integrals - 1. Curves and Their Length - 2. Curves in Rn - 3. Pfaff Forms - 4. Line Integrals - 5. Holomorphic Functions - 6. Meromorphic Functions -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-7643-7478-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34383 Analysis II [documento electrónico] / Herbert Amann ; SpringerLink (Online service) ; Joachim Escher . - Basel : Birkhäuser Basel, 2008 . - XII, 400 p : online resource.
ISBN : 978-3-7643-7478-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functional Functions of complex variables Special functions a Complex Variable Mathematics, general Clasificación: 51 Matemáticas Resumen: As with the ?rst, the secondvolume containssubstantially morematerialthancan be covered in a one-semester course. Such courses may omit many beautiful and well-grounded applications which connect broadly to many areas of mathematics. We of course hope that students will pursue this material independently; teachers may ?nd it useful for undergraduate seminars. For an overview of the material presented, consult the table of contents and the chapter introductions. As before, we stress that doing the numerous exercises is indispensable for understanding the subject matter, and they also round out and amplify the main text. In writing this volume, we are indebted to the help of many. We especially thank our friends and colleages Pavol Quittner and Gieri Simonett. They have not only meticulously reviewed the entire manuscript and assisted in weeding out errors but also, through their valuable suggestions for improvement, contributed essentially to the ?nal version. We also extend great thanks to our sta? for their careful perusal of the entire manuscript and for tracking errata and inaccuracies. Our most heartfelt thank extends again to our “typesetting perfectionist”, 1 without whose tireless e?ort this book would not look nearly so nice. We also thank Andreas for helping resolve hardware and software problems. Finally, we extend thanks to Thomas Hintermann and to Birkh¨ auser for the good working relationship and their understanding of our desired deadlines Nota de contenido: Preface -- VI. Integral Calculus in One Variable - 1. Step Continuous Functions - 2. Continuous Extensions - 3. The Cauchy-Riemann Integral - 4. Properties of the Integral - 5. The Technology of Integration - 6. Sums and Integrals - 7. Fourier Series - 8. Improper Integrals - 9. The Gamma Function -- VII. Differential Calculus in Several Variables - 1. Continuous Linear Mappings - 2. Differentiability - 3. Calculation Rules - 4. Multilinear Mappings - 5. Higher Derivatives - 6. Nemytski Operators and Calculus of Variations - 7. Inverse Mappings - 8. Implicit Functions - 9. Manifolds - 10. Tangents and Normals -- VIII. Line Integrals - 1. Curves and Their Length - 2. Curves in Rn - 3. Pfaff Forms - 4. Line Integrals - 5. Holomorphic Functions - 6. Meromorphic Functions -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-7643-7478-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34383 Ejemplares
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