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Título : Calculus of Variations, Classical and Modern Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; R. Conti Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: C.I.M.E. Summer Schools num. 39 Número de páginas: 369 p. 30 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-11042-9 Idioma : Inglés (eng) Palabras clave: Mathematics Calculus of variations Variations and Optimal Control; Optimization Clasificación: 51 Matemáticas Resumen: A. Blaquière: Quelques aspects géométriques des processus optimaux.- C. Castaing: Quelques problèmes de mesurabilité liés à la théorie des commandes.- L. Cesari: Existence theorems for Lagrange and Pontryagin problems of the calculus of variations and optimal control of more-dimensional extensions in Sobolev space.- H. Halkin: Optimal control as programming in infinite dimensional spaces.- C. Olech: The range of integrals of a certain class vector-valued functions.- E. Rothe: Weak topology and calculus of variations.- E.O. Roxin: Problems about the set of attainability Nota de contenido: A. Blaquière: Quelques aspects géométriques des processus optimaux -- C. Castaing: Quelques problèmes de mesurabilité liés à la théorie des commandes -- L. Cesari: Existence theorems for Lagrange and Pontryagin problems of the calculus of variations and optimal control of more-dimensional extensions in Sobolev space -- H. Halkin: Optimal control as programming in infinite dimensional spaces -- C. Olech: The range of integrals of a certain class vector-valued functions -- E. Rothe: Weak topology and calculus of variations -- E.O. Roxin: Problems about the set of attainability En línea: http://dx.doi.org/10.1007/978-3-642-11042-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33331 Calculus of Variations, Classical and Modern [documento electrónico] / SpringerLink (Online service) ; R. Conti . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - 369 p. 30 illus : online resource. - (C.I.M.E. Summer Schools; 39) .
ISBN : 978-3-642-11042-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Calculus of variations Variations and Optimal Control; Optimization Clasificación: 51 Matemáticas Resumen: A. Blaquière: Quelques aspects géométriques des processus optimaux.- C. Castaing: Quelques problèmes de mesurabilité liés à la théorie des commandes.- L. Cesari: Existence theorems for Lagrange and Pontryagin problems of the calculus of variations and optimal control of more-dimensional extensions in Sobolev space.- H. Halkin: Optimal control as programming in infinite dimensional spaces.- C. Olech: The range of integrals of a certain class vector-valued functions.- E. Rothe: Weak topology and calculus of variations.- E.O. Roxin: Problems about the set of attainability Nota de contenido: A. Blaquière: Quelques aspects géométriques des processus optimaux -- C. Castaing: Quelques problèmes de mesurabilité liés à la théorie des commandes -- L. Cesari: Existence theorems for Lagrange and Pontryagin problems of the calculus of variations and optimal control of more-dimensional extensions in Sobolev space -- H. Halkin: Optimal control as programming in infinite dimensional spaces -- C. Olech: The range of integrals of a certain class vector-valued functions -- E. Rothe: Weak topology and calculus of variations -- E.O. Roxin: Problems about the set of attainability En línea: http://dx.doi.org/10.1007/978-3-642-11042-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33331 Ejemplares
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Título : Geometric Integration Theory Tipo de documento: documento electrónico Autores: Steven G. Krantz ; SpringerLink (Online service) ; Harold R. Parks Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2008 Colección: Cornerstones Número de páginas: XVI, 340 p. 33 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4679-0 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations transforms Operational calculus Measure theory Geometry Convex geometry Discrete Differential and Integration Equations Transforms, Calculus Clasificación: 51 Matemáticas Resumen: This textbook introduces geometric measure theory through the notion of currents. Currents—continuous linear functionals on spaces of differential forms—are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics * Provides considerable background material for the student Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom and for self-study. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for graduate students and researchers Nota de contenido: Basics -- Carathéodory’s Construction and Lower-Dimensional Measures -- Invariant Measures and the Construction of Haar Measure. -- Covering Theorems and the Differentiation of Integrals -- Analytical Tools: The Area Formula, the Coarea Formula, and Poincaré Inequalities. -- The Calculus of Differential Forms and Stokes’s Theorem -- to Currents -- Currents and the Calculus of Variations -- Regularity of Mass-Minimizing Currents En línea: http://dx.doi.org/10.1007/978-0-8176-4679-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34276 Geometric Integration Theory [documento electrónico] / Steven G. Krantz ; SpringerLink (Online service) ; Harold R. Parks . - Boston : Birkhäuser Boston, 2008 . - XVI, 340 p. 33 illus : online resource. - (Cornerstones) .
ISBN : 978-0-8176-4679-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations transforms Operational calculus Measure theory Geometry Convex geometry Discrete Differential and Integration Equations Transforms, Calculus Clasificación: 51 Matemáticas Resumen: This textbook introduces geometric measure theory through the notion of currents. Currents—continuous linear functionals on spaces of differential forms—are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics * Provides considerable background material for the student Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom and for self-study. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for graduate students and researchers Nota de contenido: Basics -- Carathéodory’s Construction and Lower-Dimensional Measures -- Invariant Measures and the Construction of Haar Measure. -- Covering Theorems and the Differentiation of Integrals -- Analytical Tools: The Area Formula, the Coarea Formula, and Poincaré Inequalities. -- The Calculus of Differential Forms and Stokes’s Theorem -- to Currents -- Currents and the Calculus of Variations -- Regularity of Mass-Minimizing Currents En línea: http://dx.doi.org/10.1007/978-0-8176-4679-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34276 Ejemplares
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Título : Mathematical Analysis I Tipo de documento: documento electrónico Autores: Claudio Canuto ; SpringerLink (Online service) ; Anita Tabacco Editorial: Milano : Springer Milan Fecha de publicación: 2008 Colección: Universitext Número de páginas: XII, 433 p Il.: online resource ISBN/ISSN/DL: 978-88-470-0876-2 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functional Integral equations transforms Operational calculus Differential Partial differential Equations Transforms, Calculus Ordinary Clasificación: 51 Matemáticas Resumen: The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level consists of links to online material, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution Nota de contenido: Basic notions -- Functions -- Limits and continuity I -- Limits and continuity II -- Local comparison of functions. Numerical sequences and series -- Differential calculus -- Taylor expansions and applications -- Geometry in the plane and in space -- Integral calculus I -- Integral calculus II -- Ordinary differential equations En línea: http://dx.doi.org/10.1007/978-88-470-0876-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34445 Mathematical Analysis I [documento electrónico] / Claudio Canuto ; SpringerLink (Online service) ; Anita Tabacco . - Milano : Springer Milan, 2008 . - XII, 433 p : online resource. - (Universitext) .
ISBN : 978-88-470-0876-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Functional Integral equations transforms Operational calculus Differential Partial differential Equations Transforms, Calculus Ordinary Clasificación: 51 Matemáticas Resumen: The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level consists of links to online material, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution Nota de contenido: Basic notions -- Functions -- Limits and continuity I -- Limits and continuity II -- Local comparison of functions. Numerical sequences and series -- Differential calculus -- Taylor expansions and applications -- Geometry in the plane and in space -- Integral calculus I -- Integral calculus II -- Ordinary differential equations En línea: http://dx.doi.org/10.1007/978-88-470-0876-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34445 Ejemplares
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Título : Symplectic Geometry and Quantum Mechanics Tipo de documento: documento electrónico Autores: Maurice A. de Gosson ; SpringerLink (Online service) Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2006 Colección: Operator Theory: Advances and Applications num. 166 Número de páginas: XX, 368 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7575-1 Idioma : Inglés (eng) Palabras clave: Mathematics Topological groups Lie Integral transforms Operational calculus Operator theory Partial differential equations Physics Quantum physics Groups, Groups Mathematical Methods in Differential Equations Transforms, Calculus Theory Clasificación: 51 Matemáticas Resumen: This book is devoted to a rather complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a rigorous presentation of the basics of symplectic geometry and of its multiply-oriented extension. Further chapters concentrate on Lagrangian manifolds, Weyl operators and the Wigner-Moyal transform as well as on metaplectic groups and Maslov indices. Thus the keys for the mathematical description of quantum mechanics in phase space are discussed. They are followed by a rigorous geometrical treatment of the uncertainty principle. Then Hilbert-Schmidt and trace-class operators are exposed in order to treat density matrices. In the last chapter the Weyl pseudo-differential calculus is extended to phase space in order to derive a Schrödinger equation in phase space whose solutions are related to those of the usual Schrödinger equation by a wave-packet transform. The text is essentially self-contained and can be used as basis for graduate courses. Many topics are of genuine interest for pure mathematicians working in geometry and topology Nota de contenido: Symplectic Geometry -- Symplectic Spaces and Lagrangian Planes -- The Symplectic Group -- Multi-Oriented Symplectic Geometry -- Intersection Indices in Lag(n) and Sp(n) -- Heisenberg Group, Weyl Calculus, and Metaplectic Representation -- Lagrangian Manifolds and Quantization -- Heisenberg Group and Weyl Operators -- The Metaplectic Group -- Quantum Mechanics in Phase Space -- The Uncertainty Principle -- The Density Operator -- A Phase Space Weyl Calculus En línea: http://dx.doi.org/10.1007/3-7643-7575-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35024 Symplectic Geometry and Quantum Mechanics [documento electrónico] / Maurice A. de Gosson ; SpringerLink (Online service) . - Basel : Birkhäuser Basel, 2006 . - XX, 368 p : online resource. - (Operator Theory: Advances and Applications; 166) .
ISBN : 978-3-7643-7575-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Topological groups Lie Integral transforms Operational calculus Operator theory Partial differential equations Physics Quantum physics Groups, Groups Mathematical Methods in Differential Equations Transforms, Calculus Theory Clasificación: 51 Matemáticas Resumen: This book is devoted to a rather complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a rigorous presentation of the basics of symplectic geometry and of its multiply-oriented extension. Further chapters concentrate on Lagrangian manifolds, Weyl operators and the Wigner-Moyal transform as well as on metaplectic groups and Maslov indices. Thus the keys for the mathematical description of quantum mechanics in phase space are discussed. They are followed by a rigorous geometrical treatment of the uncertainty principle. Then Hilbert-Schmidt and trace-class operators are exposed in order to treat density matrices. In the last chapter the Weyl pseudo-differential calculus is extended to phase space in order to derive a Schrödinger equation in phase space whose solutions are related to those of the usual Schrödinger equation by a wave-packet transform. The text is essentially self-contained and can be used as basis for graduate courses. Many topics are of genuine interest for pure mathematicians working in geometry and topology Nota de contenido: Symplectic Geometry -- Symplectic Spaces and Lagrangian Planes -- The Symplectic Group -- Multi-Oriented Symplectic Geometry -- Intersection Indices in Lag(n) and Sp(n) -- Heisenberg Group, Weyl Calculus, and Metaplectic Representation -- Lagrangian Manifolds and Quantization -- Heisenberg Group and Weyl Operators -- The Metaplectic Group -- Quantum Mechanics in Phase Space -- The Uncertainty Principle -- The Density Operator -- A Phase Space Weyl Calculus En línea: http://dx.doi.org/10.1007/3-7643-7575-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35024 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Theory and Applications of Special Functions / SpringerLink (Online service) ; Mourad E. H. Ismail ; Erik Koelink (2005)
Título : Theory and Applications of Special Functions : A Volume Dedicated to Mizan Rahman Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Mourad E. H. Ismail ; Erik Koelink Editorial: Boston, MA : Springer US Fecha de publicación: 2005 Colección: Developments in Mathematics, ISSN 1389-2177 num. 13 Número de páginas: XII, 491 p Il.: online resource ISBN/ISSN/DL: 978-0-387-24233-0 Idioma : Inglés (eng) Palabras clave: Mathematics Approximation theory Integral transforms Operational calculus Special functions Functions Approximations and Expansions Transforms, Calculus Clasificación: 51 Matemáticas Resumen: This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. Also, it includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems Nota de contenido: Mizan Rahman, His Mathematics and Literary Writings -- On the Completeness of Sets of q-Bessel Functions J?(3)(x; q) -- a-Gaussian Polynomials and Finite Rogers-Ramanujan Identities -- On a Generalized Gamma Convolution Related to the q-Calculus -- Ramanujan and Cranks -- The Saalschütz Chain Reactions and Multiple q-Series Transformations -- Painlevé Equations and Associated Polynomials -- Zeta Functions of Heisenberg Graphs over Finite Rings -- q-Analogues of Some Multivariable Biorthogonal Polynomials -- Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials -- Continuous Hahn Functions as Clebsch-Gordan Coefficients -- New Proofs of Some q-Series Results -- The Little q-Jacobi Functions of Complex Order -- A Second Addition Formula for Continuous q-Ultraspherical Polynomials -- A Bilateral Series Involving Basic Hypergeometric Functions -- The Hilbert Space Asymptotics of a Class of Orthonormal Polynomials on a Bounded Interval -- Abel-Rothe Type Generalizations of Jacobi's Triple Product Identity -- Summable Sums of Hypergeometric Series -- Askey-Wilson Functions and Quantum Groups -- An Analog of the Cauchy-Hadamard Formula for Expansions in q-Polynomials -- Strong Nonnegative Linearization of Orthogonal Polynomials -- Remarks on Some Basic Hypergeometric Series En línea: http://dx.doi.org/10.1007/b104910 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35080 Theory and Applications of Special Functions : A Volume Dedicated to Mizan Rahman [documento electrónico] / SpringerLink (Online service) ; Mourad E. H. Ismail ; Erik Koelink . - Boston, MA : Springer US, 2005 . - XII, 491 p : online resource. - (Developments in Mathematics, ISSN 1389-2177; 13) .
ISBN : 978-0-387-24233-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Approximation theory Integral transforms Operational calculus Special functions Functions Approximations and Expansions Transforms, Calculus Clasificación: 51 Matemáticas Resumen: This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. Also, it includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems Nota de contenido: Mizan Rahman, His Mathematics and Literary Writings -- On the Completeness of Sets of q-Bessel Functions J?(3)(x; q) -- a-Gaussian Polynomials and Finite Rogers-Ramanujan Identities -- On a Generalized Gamma Convolution Related to the q-Calculus -- Ramanujan and Cranks -- The Saalschütz Chain Reactions and Multiple q-Series Transformations -- Painlevé Equations and Associated Polynomials -- Zeta Functions of Heisenberg Graphs over Finite Rings -- q-Analogues of Some Multivariable Biorthogonal Polynomials -- Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials -- Continuous Hahn Functions as Clebsch-Gordan Coefficients -- New Proofs of Some q-Series Results -- The Little q-Jacobi Functions of Complex Order -- A Second Addition Formula for Continuous q-Ultraspherical Polynomials -- A Bilateral Series Involving Basic Hypergeometric Functions -- The Hilbert Space Asymptotics of a Class of Orthonormal Polynomials on a Bounded Interval -- Abel-Rothe Type Generalizations of Jacobi's Triple Product Identity -- Summable Sums of Hypergeometric Series -- Askey-Wilson Functions and Quantum Groups -- An Analog of the Cauchy-Hadamard Formula for Expansions in q-Polynomials -- Strong Nonnegative Linearization of Orthogonal Polynomials -- Remarks on Some Basic Hypergeometric Series En línea: http://dx.doi.org/10.1007/b104910 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35080 Ejemplares
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