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Título : Analysis I Tipo de documento: documento electrónico Autores: Herbert Amann ; SpringerLink (Online service) ; Escher, Joachim Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2005 Número de páginas: XV, 426 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7323-8 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Clasificación: 51 Matemáticas Resumen: Logical thinking, the analysis of complex relationships, the recognition of und- lying simple structures which are common to a multitude of problems — these are the skills which are needed to do mathematics, and their development is the main goal of mathematics education. Of course, these skills cannot be learned ‘in a vacuum’. Only a continuous struggle with concrete problems and a striving for deep understanding leads to success. A good measure of abstraction is needed to allow one to concentrate on the essential, without being distracted by appearances and irrelevancies. The present book strives for clarity and transparency. Right from the beg- ning, it requires from the reader a willingness to deal with abstract concepts, as well as a considerable measure of self-initiative. For these e?orts, the reader will be richly rewarded in his or her mathematical thinking abilities, and will possess the foundation needed for a deeper penetration into mathematics and its applications. Thisbookisthe?rstvolumeofathreevolumeintroductiontoanalysis.It- veloped from courses that the authors have taught over the last twenty six years at theUniversitiesofBochum,Kiel,Zurich,BaselandKassel.Sincewehopethatthis book will be used also for self-study and supplementary reading, we have included far more material than can be covered in a three semester sequence. This allows us to provide a wide overview of the subject and to present the many beautiful and important applications of the theory. We also demonstrate that mathematics possesses, not only elegance and inner beauty, but also provides e?cient methods for the solution of concrete problems Nota de contenido: Foundations -- Convergence -- Continuous Functions -- Differentiation in One Variable -- Sequences of Functions En línea: http://dx.doi.org/10.1007/b137107 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35326 Analysis I [documento electrónico] / Herbert Amann ; SpringerLink (Online service) ; Escher, Joachim . - Basel : Birkhäuser Basel, 2005 . - XV, 426 p : online resource.
ISBN : 978-3-7643-7323-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Clasificación: 51 Matemáticas Resumen: Logical thinking, the analysis of complex relationships, the recognition of und- lying simple structures which are common to a multitude of problems — these are the skills which are needed to do mathematics, and their development is the main goal of mathematics education. Of course, these skills cannot be learned ‘in a vacuum’. Only a continuous struggle with concrete problems and a striving for deep understanding leads to success. A good measure of abstraction is needed to allow one to concentrate on the essential, without being distracted by appearances and irrelevancies. The present book strives for clarity and transparency. Right from the beg- ning, it requires from the reader a willingness to deal with abstract concepts, as well as a considerable measure of self-initiative. For these e?orts, the reader will be richly rewarded in his or her mathematical thinking abilities, and will possess the foundation needed for a deeper penetration into mathematics and its applications. Thisbookisthe?rstvolumeofathreevolumeintroductiontoanalysis.It- veloped from courses that the authors have taught over the last twenty six years at theUniversitiesofBochum,Kiel,Zurich,BaselandKassel.Sincewehopethatthis book will be used also for self-study and supplementary reading, we have included far more material than can be covered in a three semester sequence. This allows us to provide a wide overview of the subject and to present the many beautiful and important applications of the theory. We also demonstrate that mathematics possesses, not only elegance and inner beauty, but also provides e?cient methods for the solution of concrete problems Nota de contenido: Foundations -- Convergence -- Continuous Functions -- Differentiation in One Variable -- Sequences of Functions En línea: http://dx.doi.org/10.1007/b137107 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35326 Ejemplares
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Título : Analysis II Tipo de documento: documento electrónico Autores: Herbert Amann ; SpringerLink (Online service) ; Escher, Joachim 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) ; Escher, Joachim . - 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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Título : Analysis III Tipo de documento: documento electrónico Autores: Herbert Amann ; SpringerLink (Online service) ; Escher, Joachim Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2009 Número de páginas: XII, 468 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7480-8 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds Measure theory and Integration on Clasificación: 51 Matemáticas Resumen: This third volume concludes our introduction to analysis, wherein we ?nish laying the groundwork needed for further study of the subject. As with the ?rst two, this volume contains more material than can treated in a single course. It is therefore important in preparing lectures to choose a suitable subset of its content; the remainder can be treated in seminars or left to independent study. For a quick overview of this content, consult the table of contents and the chapter introductions. Thisbookisalsosuitableasbackgroundforothercoursesorforselfstudy. We hope that its numerous glimpses into more advanced analysis will arouse curiosity and so invite students to further explore the beauty and scope of this branch of mathematics. In writing this volume, we counted on the invaluable help of friends, c- leagues, sta?, and students. Special thanks go to Georg Prokert, Pavol Quittner, Olivier Steiger, and Christoph Walker, who worked through the entire text cr- ically and so helped us remove errors and make substantial improvements. Our thanks also goes out to Carlheinz Kneisel and Bea Wollenmann, who likewise read the majority of the manuscript and pointed out various inconsistencies. Without the inestimable e?ortofour “typesetting perfectionist”, this volume could not have reached its present form: her tirelessness and patience with T X E and other software brought not only the end product, but also numerous previous versions,to a high degree of perfection. For this contribution, she has our greatest thanks Nota de contenido: Elements of measure theory -- Integration theory -- Manifolds and differential forms -- Integration on manifolds En línea: http://dx.doi.org/10.1007/978-3-7643-7480-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34080 Analysis III [documento electrónico] / Herbert Amann ; SpringerLink (Online service) ; Escher, Joachim . - Basel : Birkhäuser Basel, 2009 . - XII, 468 p : online resource.
ISBN : 978-3-7643-7480-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds Measure theory and Integration on Clasificación: 51 Matemáticas Resumen: This third volume concludes our introduction to analysis, wherein we ?nish laying the groundwork needed for further study of the subject. As with the ?rst two, this volume contains more material than can treated in a single course. It is therefore important in preparing lectures to choose a suitable subset of its content; the remainder can be treated in seminars or left to independent study. For a quick overview of this content, consult the table of contents and the chapter introductions. Thisbookisalsosuitableasbackgroundforothercoursesorforselfstudy. We hope that its numerous glimpses into more advanced analysis will arouse curiosity and so invite students to further explore the beauty and scope of this branch of mathematics. In writing this volume, we counted on the invaluable help of friends, c- leagues, sta?, and students. Special thanks go to Georg Prokert, Pavol Quittner, Olivier Steiger, and Christoph Walker, who worked through the entire text cr- ically and so helped us remove errors and make substantial improvements. Our thanks also goes out to Carlheinz Kneisel and Bea Wollenmann, who likewise read the majority of the manuscript and pointed out various inconsistencies. Without the inestimable e?ortofour “typesetting perfectionist”, this volume could not have reached its present form: her tirelessness and patience with T X E and other software brought not only the end product, but also numerous previous versions,to a high degree of perfection. For this contribution, she has our greatest thanks Nota de contenido: Elements of measure theory -- Integration theory -- Manifolds and differential forms -- Integration on manifolds En línea: http://dx.doi.org/10.1007/978-3-7643-7480-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34080 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Functional Analysis and Evolution Equations / SpringerLink (Online service) ; Herbert Amann ; Wolfgang Arendt ; Hieber, Matthias ; Neubrander, Frank M ; Nicaise, Serge ; Joachim von Below (2008)
Título : Functional Analysis and Evolution Equations : The Günter Lumer Volume Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Herbert Amann ; Wolfgang Arendt ; Hieber, Matthias ; Neubrander, Frank M ; Nicaise, Serge ; Joachim von Below Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Número de páginas: XVII, 637 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7794-6 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Differential Equations Clasificación: 51 Matemáticas Resumen: Günter Lumer was an outstanding mathematician whose work has great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips of 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Günter Lumer. Nota de contenido: Expansions in Generalized Eigenfunctions of the Weighted Laplacian on Star-shaped Networks -- Diffusion Equations with Finite Speed of Propagation -- Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle -- An Integral Equation in AeroElasticity -- Eigenvalue Asymptotics Under a Non-dissipative Eigenvalue Dependent Boundary Condition for Second-order Elliptic Operators -- Feynman-Kac Formulas, Backward Stochastic Differential Equations and Markov Processes -- Generation of Cosine Families on L p (0,1) by Elliptic Operators with Robin Boundary Conditions -- Global Smooth Solutions to a Fourth-order Quasilinear Fractional Evolution Equation -- Positivity Property of Solutions of Some Quasilinear Elliptic Inequalities -- On a Stochastic Parabolic Integral Equation -- Resolvent Estimates for a Perturbed Oseen Problem -- Abstract Delay Equations Inspired by Population Dynamics -- Weak Stability for Orbits of C 0-semigroups on Banach Spaces -- Contraction Semigroups on L ?(R) -- On the Curve Shortening Flow with Triple Junction -- The Dual Mixed Finite Element Method for the Heat Diffusion Equation in a Polygonal Domain, I -- Maximal Regularity of the Stokes Operator in General Unbounded Domains of ? n -- Linear Control Systems in Sequence Spaces -- On the Motion of Several Rigid Bodies in a Viscous Multipolar Fluid -- On the Stokes Resolvent Equations in Locally Uniform L p Spaces in Exterior Domains -- Generation of Analytic Semigroups and Domain Characterization for Degenerate Elliptic Operators with Unbounded Coefficients Arising in Financial Mathematics. Part II -- Numerical Approximation of Generalized Functions: Aliasing, the Gibbs Phenomenon and a Numerical Uncertainty Principle -- No Radial Symmetries in the Arrhenius-Semenov Thermal Explosion Equation -- Mild Well-posedness of Abstract Differential Equations -- Backward Uniqueness in Linear Thermoelasticity with Time and Space Variable Coefficients -- Measure and Integral: New Foundations after One Hundred Years -- Post-Widder Inversion for Laplace Transforms of Hyperfunctions -- On a Class of Elliptic Operators with Unbounded Time- and Space-dependent Coefficients in ? N -- Time-dependent Nonlinear Perturbations of Analytic Semigroups -- A Variational Approach to Strongly Damped Wave Equations -- Exponential and Polynomial Stability Estimates for the Wave Equation and Maxwell’s System with Memory Boundary Conditions -- Maximal Regularity for Degenerate Evolution Equations with an Exponential Weight Function -- An Analysis of Asian options -- Linearized Stability and Regularity for Nonlinear Age-dependent Population Models -- Space Almost Periodic Solutions of Reaction Diffusion Equations -- On the Oseen Semigroup with Rotating Effect -- Exact Controllability in L 2(?) of the Schrödinger Equation in a Riemannian Manifold with L 2(?1)-Neumann Boundary Control En línea: http://dx.doi.org/10.1007/978-3-7643-7794-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34384 Functional Analysis and Evolution Equations : The Günter Lumer Volume [documento electrónico] / SpringerLink (Online service) ; Herbert Amann ; Wolfgang Arendt ; Hieber, Matthias ; Neubrander, Frank M ; Nicaise, Serge ; Joachim von Below . - Basel : Birkhäuser Basel, 2008 . - XVII, 637 p : online resource.
ISBN : 978-3-7643-7794-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Differential Equations Clasificación: 51 Matemáticas Resumen: Günter Lumer was an outstanding mathematician whose work has great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips of 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Günter Lumer. Nota de contenido: Expansions in Generalized Eigenfunctions of the Weighted Laplacian on Star-shaped Networks -- Diffusion Equations with Finite Speed of Propagation -- Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle -- An Integral Equation in AeroElasticity -- Eigenvalue Asymptotics Under a Non-dissipative Eigenvalue Dependent Boundary Condition for Second-order Elliptic Operators -- Feynman-Kac Formulas, Backward Stochastic Differential Equations and Markov Processes -- Generation of Cosine Families on L p (0,1) by Elliptic Operators with Robin Boundary Conditions -- Global Smooth Solutions to a Fourth-order Quasilinear Fractional Evolution Equation -- Positivity Property of Solutions of Some Quasilinear Elliptic Inequalities -- On a Stochastic Parabolic Integral Equation -- Resolvent Estimates for a Perturbed Oseen Problem -- Abstract Delay Equations Inspired by Population Dynamics -- Weak Stability for Orbits of C 0-semigroups on Banach Spaces -- Contraction Semigroups on L ?(R) -- On the Curve Shortening Flow with Triple Junction -- The Dual Mixed Finite Element Method for the Heat Diffusion Equation in a Polygonal Domain, I -- Maximal Regularity of the Stokes Operator in General Unbounded Domains of ? n -- Linear Control Systems in Sequence Spaces -- On the Motion of Several Rigid Bodies in a Viscous Multipolar Fluid -- On the Stokes Resolvent Equations in Locally Uniform L p Spaces in Exterior Domains -- Generation of Analytic Semigroups and Domain Characterization for Degenerate Elliptic Operators with Unbounded Coefficients Arising in Financial Mathematics. Part II -- Numerical Approximation of Generalized Functions: Aliasing, the Gibbs Phenomenon and a Numerical Uncertainty Principle -- No Radial Symmetries in the Arrhenius-Semenov Thermal Explosion Equation -- Mild Well-posedness of Abstract Differential Equations -- Backward Uniqueness in Linear Thermoelasticity with Time and Space Variable Coefficients -- Measure and Integral: New Foundations after One Hundred Years -- Post-Widder Inversion for Laplace Transforms of Hyperfunctions -- On a Class of Elliptic Operators with Unbounded Time- and Space-dependent Coefficients in ? N -- Time-dependent Nonlinear Perturbations of Analytic Semigroups -- A Variational Approach to Strongly Damped Wave Equations -- Exponential and Polynomial Stability Estimates for the Wave Equation and Maxwell’s System with Memory Boundary Conditions -- Maximal Regularity for Degenerate Evolution Equations with an Exponential Weight Function -- An Analysis of Asian options -- Linearized Stability and Regularity for Nonlinear Age-dependent Population Models -- Space Almost Periodic Solutions of Reaction Diffusion Equations -- On the Oseen Semigroup with Rotating Effect -- Exact Controllability in L 2(?) of the Schrödinger Equation in a Riemannian Manifold with L 2(?1)-Neumann Boundary Control En línea: http://dx.doi.org/10.1007/978-3-7643-7794-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34384 Ejemplares
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