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Título : Analysis I Tipo de documento: documento electrónico Autores: Herbert Amann ; SpringerLink (Online service) ; Joachim Escher 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) ; Joachim Escher . - 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) ; 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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Título : Analysis III Tipo de documento: documento electrónico Autores: Herbert Amann ; SpringerLink (Online service) ; Joachim Escher 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) ; Joachim Escher . - 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 Nonlinear Elliptic and Parabolic Problems / SpringerLink (Online service) ; Haim Brezis ; Michel Chipot ; Joachim Escher (2005)
Título : Nonlinear Elliptic and Parabolic Problems : A Special Tribute to the Work of Herbert Amann Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Haim Brezis ; Michel Chipot ; Joachim Escher Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2005 Colección: Progress in Nonlinear Differential Equations and Their Applications num. 64 Número de páginas: IX, 536 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7385-6 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Partial differential equations Potential theory Numerical Calculus of variations Fluids Differential Equations Theory Variations and Optimal Control; Optimization Fluid- Aerodynamics Clasificación: 51 Matemáticas Resumen: The present volume is dedicated to celebrate the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann. The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering. Special topics are fluid dynamics, reaction-diffusion systems, bifurcation theory, maximal regularity, evolution equations, and the theory of function spaces Nota de contenido: Bounded Imaginary Powers and H?-Calculus of the Stokes Operator in Unbounded Domains -- Exact Estimates of Solutions to the Robin Boundary Value Problem for Elliptic Non-divergent Second-order Equations in a Neighborhood of the Boundary Conical Point -- Well-posedness of a Two-phase Flow with Soluble Surfactant -- Resolvent Differences for General Obstacles -- Special Finite Time Extinction in Nonlinear Evolution Systems: Dynamic Boundary Conditions and Coulomb Friction Type Problems -- Spectral Projections, Riesz Transforms and H?-calculus for Bisectorial Operators -- Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data -- Grow-up on the Boundary for a Semilinear Parabolic Problem -- Existence and Uniqueness Results for Reaction-diffusion Processes of Electrically Charged Species -- An Inverse Problem for a Phase-field Model in Sobolev Spaces -- Numerical Analysis of Microstructures: The Influence of Incompatibility -- Nonlinear Singular Elliptic Problems: Recent Results and Open Problems -- The Navier-Stokes Flow in the Exterior of Rotating Obstacles -- A Global Bifurcation Result for Variational Inequalities -- On Elliptic Non-divergence Operators with Measurable Coefficients -- A Chemotaxis Model with Threshold Density and Degenerate Diffusion -- In the blink of an Eye -- Generalized Minimal Cardinal of the ?-slices of the Semi-bounded Components Arising in Global Bifurcation Theory -- Blow-up of Solutions of a Semilinear Heat Equation with a Visco-elastic Term -- Finite Element Methods for Investigating the Moving Boundary Problem in Biological Development -- Existence of Weak Solutions to the Equations of Stationary Motion of Heat-conducting Incompressible Viscous Fluids -- Liouville Type Theorems and Complete Blow-up for Indefinite Superlinear Parabolic Equations -- On Reducing the 2d Navier-Stokes Equations to a System of Delayed ODEs -- Quasilinear Parabolic Equations in Lp -- Parabolic Equations in Locally Uniform Spaces -- Bifurcation of Traveling Waves Related to the Bénard Equations with an Exterior Force -- Vector-valued Sobolev Spaces and Gagliardo-Nirenberg Inequalities -- The Influence of Gradient Perturbations on Blow-up Asymptotics in Semilinear Parabolic Problems: A Survey -- Non-existence of Positive Solutions for Diffusive Logistic Equations with Nonlinear Boundary Conditions -- Extremal Equilibria and Asymptotic Behavior of Parabolic Nonlinear Reaction-diffusion Equations -- A Remark on Continuous Coagulation-Fragmentation Equations with Unbounded Diffusion Coefficients -- On Lp-Estimates of Optimal Type for the Parabolic Oblique Derivative Problem with VMO-Coefficients — A Refined Version En línea: http://dx.doi.org/10.1007/3-7643-7385-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35343 Nonlinear Elliptic and Parabolic Problems : A Special Tribute to the Work of Herbert Amann [documento electrónico] / SpringerLink (Online service) ; Haim Brezis ; Michel Chipot ; Joachim Escher . - Basel : Birkhäuser Basel, 2005 . - IX, 536 p : online resource. - (Progress in Nonlinear Differential Equations and Their Applications; 64) .
ISBN : 978-3-7643-7385-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Partial differential equations Potential theory Numerical Calculus of variations Fluids Differential Equations Theory Variations and Optimal Control; Optimization Fluid- Aerodynamics Clasificación: 51 Matemáticas Resumen: The present volume is dedicated to celebrate the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann. The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering. Special topics are fluid dynamics, reaction-diffusion systems, bifurcation theory, maximal regularity, evolution equations, and the theory of function spaces Nota de contenido: Bounded Imaginary Powers and H?-Calculus of the Stokes Operator in Unbounded Domains -- Exact Estimates of Solutions to the Robin Boundary Value Problem for Elliptic Non-divergent Second-order Equations in a Neighborhood of the Boundary Conical Point -- Well-posedness of a Two-phase Flow with Soluble Surfactant -- Resolvent Differences for General Obstacles -- Special Finite Time Extinction in Nonlinear Evolution Systems: Dynamic Boundary Conditions and Coulomb Friction Type Problems -- Spectral Projections, Riesz Transforms and H?-calculus for Bisectorial Operators -- Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data -- Grow-up on the Boundary for a Semilinear Parabolic Problem -- Existence and Uniqueness Results for Reaction-diffusion Processes of Electrically Charged Species -- An Inverse Problem for a Phase-field Model in Sobolev Spaces -- Numerical Analysis of Microstructures: The Influence of Incompatibility -- Nonlinear Singular Elliptic Problems: Recent Results and Open Problems -- The Navier-Stokes Flow in the Exterior of Rotating Obstacles -- A Global Bifurcation Result for Variational Inequalities -- On Elliptic Non-divergence Operators with Measurable Coefficients -- A Chemotaxis Model with Threshold Density and Degenerate Diffusion -- In the blink of an Eye -- Generalized Minimal Cardinal of the ?-slices of the Semi-bounded Components Arising in Global Bifurcation Theory -- Blow-up of Solutions of a Semilinear Heat Equation with a Visco-elastic Term -- Finite Element Methods for Investigating the Moving Boundary Problem in Biological Development -- Existence of Weak Solutions to the Equations of Stationary Motion of Heat-conducting Incompressible Viscous Fluids -- Liouville Type Theorems and Complete Blow-up for Indefinite Superlinear Parabolic Equations -- On Reducing the 2d Navier-Stokes Equations to a System of Delayed ODEs -- Quasilinear Parabolic Equations in Lp -- Parabolic Equations in Locally Uniform Spaces -- Bifurcation of Traveling Waves Related to the Bénard Equations with an Exterior Force -- Vector-valued Sobolev Spaces and Gagliardo-Nirenberg Inequalities -- The Influence of Gradient Perturbations on Blow-up Asymptotics in Semilinear Parabolic Problems: A Survey -- Non-existence of Positive Solutions for Diffusive Logistic Equations with Nonlinear Boundary Conditions -- Extremal Equilibria and Asymptotic Behavior of Parabolic Nonlinear Reaction-diffusion Equations -- A Remark on Continuous Coagulation-Fragmentation Equations with Unbounded Diffusion Coefficients -- On Lp-Estimates of Optimal Type for the Parabolic Oblique Derivative Problem with VMO-Coefficients — A Refined Version En línea: http://dx.doi.org/10.1007/3-7643-7385-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35343 Ejemplares
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Título : Parabolic Problems : The Herbert Amann Festschrift Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Joachim Escher ; Patrick Guidotti ; Matthias Hieber ; Piotr Mucha ; Jan W. Prüss ; Shibata, Yoshihiro ; Gieri Simonett ; Christoph Walker ; Wojciech Zajaczkowski Editorial: Basel : Springer Basel Fecha de publicación: 2011 Colección: Progress in Nonlinear Differential Equations and Their Applications num. 80 Número de páginas: XII, 717 p. 15 illus., 7 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-0348-0075-4 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Differential Equations Clasificación: 51 Matemáticas Resumen: The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more En línea: http://dx.doi.org/10.1007/978-3-0348-0075-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33256 Parabolic Problems : The Herbert Amann Festschrift [documento electrónico] / SpringerLink (Online service) ; Joachim Escher ; Patrick Guidotti ; Matthias Hieber ; Piotr Mucha ; Jan W. Prüss ; Shibata, Yoshihiro ; Gieri Simonett ; Christoph Walker ; Wojciech Zajaczkowski . - Basel : Springer Basel, 2011 . - XII, 717 p. 15 illus., 7 illus. in color : online resource. - (Progress in Nonlinear Differential Equations and Their Applications; 80) .
ISBN : 978-3-0348-0075-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Differential Equations Clasificación: 51 Matemáticas Resumen: The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more En línea: http://dx.doi.org/10.1007/978-3-0348-0075-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33256 Ejemplares
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