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Título : Advanced Calculus : A Geometric View Tipo de documento: documento electrónico Autores: James J. Callahan ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2010 Colección: Undergraduate Texts in Mathematics, ISSN 0172-6056 Número de páginas: XVI, 526 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-7332-0 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Approximation theory Functions of real variables Applied mathematics Engineering Real Applications Approximations and Expansions Clasificación: 51 Matemáticas Resumen: With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. This invites geometric visualization; the book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps, such as the role of the derivative as the local linear approximation to a map and its role in the change of variables formula for multiple integrals. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. Advanced Calculus: A Geometric View is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. It avoids duplicating the material of real analysis. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study Nota de contenido: Starting Points -- Geometry of Linear Maps -- Approximations -- The Derivative -- Inverses -- Implicit Functions -- Critical Points -- Double Integrals -- Evaluating Double Integrals -- Surface Integrals -- Stokes’ Theorem En línea: http://dx.doi.org/10.1007/978-1-4419-7332-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33645 Advanced Calculus : A Geometric View [documento electrónico] / James J. Callahan ; SpringerLink (Online service) . - New York, NY : Springer New York, 2010 . - XVI, 526 p : online resource. - (Undergraduate Texts in Mathematics, ISSN 0172-6056) .
ISBN : 978-1-4419-7332-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Approximation theory Functions of real variables Applied mathematics Engineering Real Applications Approximations and Expansions Clasificación: 51 Matemáticas Resumen: With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. This invites geometric visualization; the book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps, such as the role of the derivative as the local linear approximation to a map and its role in the change of variables formula for multiple integrals. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. Advanced Calculus: A Geometric View is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. It avoids duplicating the material of real analysis. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study Nota de contenido: Starting Points -- Geometry of Linear Maps -- Approximations -- The Derivative -- Inverses -- Implicit Functions -- Critical Points -- Double Integrals -- Evaluating Double Integrals -- Surface Integrals -- Stokes’ Theorem En línea: http://dx.doi.org/10.1007/978-1-4419-7332-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33645 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Advances in Applied Mathematics and Approximation Theory / SpringerLink (Online service) ; George A. Anastassiou ; Oktay Duman (2013)
Título : Advances in Applied Mathematics and Approximation Theory : Contributions from AMAT 2012 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; George A. Anastassiou ; Oktay Duman Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 num. 41 Número de páginas: XIX, 486 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-6393-1 Idioma : Inglés (eng) Palabras clave: Mathematics Approximation theory Differential equations Partial differential Applied mathematics Engineering Approximations and Expansions Ordinary Equations Applications of Clasificación: 51 Matemáticas Resumen: Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics Nota de contenido: Approximation by Neural Networks Iterates. George A. Anastassiou -- Univariate Hardy Type Fractional Inequalities. George A. Anastassiou -- Statistical Convergence on Time Scales and its Characterizations. Ceylan Turan and Oktay Duman -- On the g-Jacobi Matrix Functions Bayram Cz ekim and Esra Erkusz-Duman -- Linear Combinations of Genuine Sz´asz-Mirakjan-Durrmeyer Operators. Margareta Heilmann and Gancho Tachev -- Extensions of Schur’s Inequality for the Leading Coefficient of Bounded Polynomials with Two Prescribed Zeros. Heinz-Joachim Rack -- An Example of Optimal Nodes for Interpolation Revisited. Heinz-Joachim Rack -- Theory of Differential Approximations of Radiative Transfer Equation. Weimin Han, Joseph A. Eichholz and Qiwei Sheng -- Inverse Spectral Problems for Complex Jacobi Matrices. Gusein Sh. Guseinov -- To Approximate Solution of Ordinary Differential Equations, I. Tamaz S. Vashakmadze -- A Hybrid Method for Inverse Scattering Problem for a Dielectric. Ahmet Altundag -- Solving Second Order Discrete Sturm-Liouville BVP Using Matrix Pencils. Michael K. Wilson and Aihua Li -- Approximation Formulas for the Ergodic Moments of Gaussian Random Walk with a Reflecting Barrier. Tahir Khaniyev, Basak Gever and Zulfiyya Mammadova -- A Generalization of Some Orthogonal Polynomials. Boussayoud Ali, Kerada Mohamed and Abdelhamid Abderrezzak -- Numerical Study of the High-Contrast Stokes Equation and its Robust Preconditioning. Burak Aksoylu and Zuhal Unlu -- Extension of Karmarkar’s Algorithm for Solving an Optimization Problem. El Amir Djeffal, Lakhdar Djeffal and Djamel Benterki -- State Dependent Sweeping Process with Perturbation. Tahar Haddad and Touma Haddad -- Boundary Value Problems for Impulsive Fractional Differential Equations with Non-Local Conditions. Hilmi Ergoren and M. Giyas Sakar -- The Construction of Particular Solutions of the Nonlinear Equation of Schodinger Type. K.R. Yesmakhanova and Zh.R. Myrzakulova -- A Method of Solution for Integro-Differential Parabolic Equation with Purely Integral Conditions. Ahcene Merad and Abdelfatah Bouziani -- A Better Error Estimation On Sz´asz Baskakov Durrmeyer Operators. Neha Bhardwaj and Naokant Deo -- About New Class of Volterra Type Integral Equations with Boundary Singularity in Kernels. Nusrat Rajabov -- Fractional Integration of the Product of Two Multivariables H-Function and a General Class of Polynomials. Praveen Agarwal -- Non-Asymptotic Norm Estimates for the q-Bernstein Operators. Sofiya Ostrovska and Ahmet Yaszar O¨ zban -- Approximation Techniques in Impulsive Control Problems for the Tubes of Solutions of Uncertain Differential Systems. Tatiana Filippova -- A New Viewpoint to Fourier Analysis in Fractal Space. Mengke Liao, Xiaojun Yang and Qin Yan -- Non-Solvability of Balakrishnan-Taylor Equation With Memory Term in RN , Abderrahmane Zarai and Nasser-eddine Tatar -- Study of Third-Order Three-Point Boundary Value Problem With Dependence on the First Order Derivative. A. Guezane-Lakoud and L. Zenkoufi -- Reverse and Forward Fractional Integral Inequalities. George A. Anastassiou and Razvan A. Mezei En línea: http://dx.doi.org/10.1007/978-1-4614-6393-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32303 Advances in Applied Mathematics and Approximation Theory : Contributions from AMAT 2012 [documento electrónico] / SpringerLink (Online service) ; George A. Anastassiou ; Oktay Duman . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XIX, 486 p : online resource. - (Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009; 41) .
ISBN : 978-1-4614-6393-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Approximation theory Differential equations Partial differential Applied mathematics Engineering Approximations and Expansions Ordinary Equations Applications of Clasificación: 51 Matemáticas Resumen: Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics Nota de contenido: Approximation by Neural Networks Iterates. George A. Anastassiou -- Univariate Hardy Type Fractional Inequalities. George A. Anastassiou -- Statistical Convergence on Time Scales and its Characterizations. Ceylan Turan and Oktay Duman -- On the g-Jacobi Matrix Functions Bayram Cz ekim and Esra Erkusz-Duman -- Linear Combinations of Genuine Sz´asz-Mirakjan-Durrmeyer Operators. Margareta Heilmann and Gancho Tachev -- Extensions of Schur’s Inequality for the Leading Coefficient of Bounded Polynomials with Two Prescribed Zeros. Heinz-Joachim Rack -- An Example of Optimal Nodes for Interpolation Revisited. Heinz-Joachim Rack -- Theory of Differential Approximations of Radiative Transfer Equation. Weimin Han, Joseph A. Eichholz and Qiwei Sheng -- Inverse Spectral Problems for Complex Jacobi Matrices. Gusein Sh. Guseinov -- To Approximate Solution of Ordinary Differential Equations, I. Tamaz S. Vashakmadze -- A Hybrid Method for Inverse Scattering Problem for a Dielectric. Ahmet Altundag -- Solving Second Order Discrete Sturm-Liouville BVP Using Matrix Pencils. Michael K. Wilson and Aihua Li -- Approximation Formulas for the Ergodic Moments of Gaussian Random Walk with a Reflecting Barrier. Tahir Khaniyev, Basak Gever and Zulfiyya Mammadova -- A Generalization of Some Orthogonal Polynomials. Boussayoud Ali, Kerada Mohamed and Abdelhamid Abderrezzak -- Numerical Study of the High-Contrast Stokes Equation and its Robust Preconditioning. Burak Aksoylu and Zuhal Unlu -- Extension of Karmarkar’s Algorithm for Solving an Optimization Problem. El Amir Djeffal, Lakhdar Djeffal and Djamel Benterki -- State Dependent Sweeping Process with Perturbation. Tahar Haddad and Touma Haddad -- Boundary Value Problems for Impulsive Fractional Differential Equations with Non-Local Conditions. Hilmi Ergoren and M. Giyas Sakar -- The Construction of Particular Solutions of the Nonlinear Equation of Schodinger Type. K.R. Yesmakhanova and Zh.R. Myrzakulova -- A Method of Solution for Integro-Differential Parabolic Equation with Purely Integral Conditions. Ahcene Merad and Abdelfatah Bouziani -- A Better Error Estimation On Sz´asz Baskakov Durrmeyer Operators. Neha Bhardwaj and Naokant Deo -- About New Class of Volterra Type Integral Equations with Boundary Singularity in Kernels. Nusrat Rajabov -- Fractional Integration of the Product of Two Multivariables H-Function and a General Class of Polynomials. Praveen Agarwal -- Non-Asymptotic Norm Estimates for the q-Bernstein Operators. Sofiya Ostrovska and Ahmet Yaszar O¨ zban -- Approximation Techniques in Impulsive Control Problems for the Tubes of Solutions of Uncertain Differential Systems. Tatiana Filippova -- A New Viewpoint to Fourier Analysis in Fractal Space. Mengke Liao, Xiaojun Yang and Qin Yan -- Non-Solvability of Balakrishnan-Taylor Equation With Memory Term in RN , Abderrahmane Zarai and Nasser-eddine Tatar -- Study of Third-Order Three-Point Boundary Value Problem With Dependence on the First Order Derivative. A. Guezane-Lakoud and L. Zenkoufi -- Reverse and Forward Fractional Integral Inequalities. George A. Anastassiou and Razvan A. Mezei En línea: http://dx.doi.org/10.1007/978-1-4614-6393-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32303 Ejemplares
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Título : Algorithms for Approximation : Proceedings of the 5th International Conference, Chester, July 2005 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Armin Iske ; Jeremy Levesley Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2007 Número de páginas: XIII, 389 p Il.: online resource ISBN/ISSN/DL: 978-3-540-46551-5 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science Approximation theory Special functions Applied mathematics Engineering Applications of Computational and Numerical Analysis Approximations Expansions Functions Computing Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing. It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems. An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales. Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications Nota de contenido: Imaging and Data Mining -- Ranking as Function Approximation -- Two Algorithms for Approximation in Highly Complicated Planar Domains -- Computational Intelligence in Clustering Algorithms, With Applications -- Energy-Based Image Simplification with Nonlocal Data and Smoothness Terms -- Multiscale Voice Morphing Using Radial Basis Function Analysis -- Associating Families of Curves Using Feature Extraction and Cluster Analysis -- Numerical Simulation -- Particle Flow Simulation by Using Polyharmonic Splines -- Enhancing SPH using Moving Least-Squares and Radial Basis Functions -- Stepwise Calculation of the Basin of Attractionin Dynamical Systems Using Radial Basis Functions -- Integro-Differential Equation Models and Numerical Methods for Cell Motility and Alignment -- Spectral Galerkin Method Applied to Some Problems in Elasticity -- Statistical Approximation Methods -- Bayesian Field Theory Applied to Scattered Data Interpolation and Inverse Problems -- Algorithms for Structured Gauss-Markov Regression -- Uncertainty Evaluation in Reservoir Forecasting by Bayes Linear Methodology -- Data Fitting and Modelling -- Integral Interpolation -- Shape Control in Powell-Sabin Quasi-Interpolation -- Approximation with Asymptotic Polynomials -- Spline Approximation Using Knot Density Functions -- Neutral Data Fitting by Lines and Planes -- Approximation on an Infinite Range to Ordinary Differential Equations Solutions by a Function of a Radial Basis function -- Weighted Integrals of Polynomial Splines -- Differential and Integral Equations -- On Sequential Estimators for Affine Stochastic Delay Differential Equations -- Scalar Periodic Complex Delay Differential Equations: Small Solutions and their Detection -- Using Approximations to Lyapunov Exponents to Predict Changes in Dynamical Behaviour in Numerical Solutions to Stochastic Delay Differential Equations -- Superconvergence of Quadratic Spline Collocation for Volterra Integral Equations -- Special Functions and Approximation on Manifolds -- Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions -- Strictly Positive Definite Functions on Generalized Motion Groups -- Energy Estimates and the Weyl Criterion on Compact Homogeneous Manifolds -- Minimal Discrete Energy Problems and Numerical Integration on Compact Sets in Euclidean Spaces -- Numerical Quadrature of Highly Oscillatory Integrals Using Derivatives En línea: http://dx.doi.org/10.1007/978-3-540-46551-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34639 Algorithms for Approximation : Proceedings of the 5th International Conference, Chester, July 2005 [documento electrónico] / SpringerLink (Online service) ; Armin Iske ; Jeremy Levesley . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2007 . - XIII, 389 p : online resource.
ISBN : 978-3-540-46551-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science Approximation theory Special functions Applied mathematics Engineering Applications of Computational and Numerical Analysis Approximations Expansions Functions Computing Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing. It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems. An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales. Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications Nota de contenido: Imaging and Data Mining -- Ranking as Function Approximation -- Two Algorithms for Approximation in Highly Complicated Planar Domains -- Computational Intelligence in Clustering Algorithms, With Applications -- Energy-Based Image Simplification with Nonlocal Data and Smoothness Terms -- Multiscale Voice Morphing Using Radial Basis Function Analysis -- Associating Families of Curves Using Feature Extraction and Cluster Analysis -- Numerical Simulation -- Particle Flow Simulation by Using Polyharmonic Splines -- Enhancing SPH using Moving Least-Squares and Radial Basis Functions -- Stepwise Calculation of the Basin of Attractionin Dynamical Systems Using Radial Basis Functions -- Integro-Differential Equation Models and Numerical Methods for Cell Motility and Alignment -- Spectral Galerkin Method Applied to Some Problems in Elasticity -- Statistical Approximation Methods -- Bayesian Field Theory Applied to Scattered Data Interpolation and Inverse Problems -- Algorithms for Structured Gauss-Markov Regression -- Uncertainty Evaluation in Reservoir Forecasting by Bayes Linear Methodology -- Data Fitting and Modelling -- Integral Interpolation -- Shape Control in Powell-Sabin Quasi-Interpolation -- Approximation with Asymptotic Polynomials -- Spline Approximation Using Knot Density Functions -- Neutral Data Fitting by Lines and Planes -- Approximation on an Infinite Range to Ordinary Differential Equations Solutions by a Function of a Radial Basis function -- Weighted Integrals of Polynomial Splines -- Differential and Integral Equations -- On Sequential Estimators for Affine Stochastic Delay Differential Equations -- Scalar Periodic Complex Delay Differential Equations: Small Solutions and their Detection -- Using Approximations to Lyapunov Exponents to Predict Changes in Dynamical Behaviour in Numerical Solutions to Stochastic Delay Differential Equations -- Superconvergence of Quadratic Spline Collocation for Volterra Integral Equations -- Special Functions and Approximation on Manifolds -- Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions -- Strictly Positive Definite Functions on Generalized Motion Groups -- Energy Estimates and the Weyl Criterion on Compact Homogeneous Manifolds -- Minimal Discrete Energy Problems and Numerical Integration on Compact Sets in Euclidean Spaces -- Numerical Quadrature of Highly Oscillatory Integrals Using Derivatives En línea: http://dx.doi.org/10.1007/978-3-540-46551-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34639 Ejemplares
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Título : Analyse asymptotique et couche limite Tipo de documento: documento electrónico Autores: Jean Cousteix ; SpringerLink (Online service) ; Jacques Mauss Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Colección: Mathématiques & Applications, ISSN 1154-483X num. 56 Número de páginas: XII, 396 p. 59 ill Il.: online resource ISBN/ISSN/DL: 978-3-540-34016-4 Idioma : Francés (fre) Palabras clave: Mathematics Approximation theory Operator Differential equations Partial differential Approximations and Expansions Theory Ordinary Equations Clasificación: 51 Matemáticas Resumen: Le but du livre est de donner aux enseignants et aux étudiants (à partir de Bac+4) en mathématiques appliquées et en mécanique des fluides un outil d'enseignement et d'apprentissage illustré par cinquante problèmes accompagnés de leur correction détaillée. Ce livre présente une nouvelle méthode d'analyse asymptotique pour des problèmes de "couche limite". Celle-ci est appelée MASC "Méthode des Approximations Successives Complémentaires". La première moitié du livre est consacrée, outre la présentation de la MASC, à ordonner les connaissances nécessaires à l'analyse asymptotique et à donner les clés permettant la compréhension de ce qu'est un problème dit de "couche limite" et des méthodes permettant de construire une approximation. La seconde partie est consacrée à l'application de la MASC en mécanique des fluides et à la comparaison avec les méthodes plus traditionnelles issues de la célèbre MDAR, "Méthode des Développements Asymptotiques Raccordés" Nota de contenido: aux problèmes de perturbation singulière -- Structure de couche limite -- Développements asymptotiques -- Méthode des approximations successives complémentaires -- Équations différentielles ordinaires -- Écoulements à grand nombre de Reynolds -- Couche limite interactive -- Applications des modèles de couche limite interactive -- Formes régulières de la couche limite interactive -- Couche limite turbulente -- Conclusion En línea: http://dx.doi.org/10.1007/3-540-34016-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34969 Analyse asymptotique et couche limite [documento electrónico] / Jean Cousteix ; SpringerLink (Online service) ; Jacques Mauss . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - XII, 396 p. 59 ill : online resource. - (Mathématiques & Applications, ISSN 1154-483X; 56) .
ISBN : 978-3-540-34016-4
Idioma : Francés (fre)
Palabras clave: Mathematics Approximation theory Operator Differential equations Partial differential Approximations and Expansions Theory Ordinary Equations Clasificación: 51 Matemáticas Resumen: Le but du livre est de donner aux enseignants et aux étudiants (à partir de Bac+4) en mathématiques appliquées et en mécanique des fluides un outil d'enseignement et d'apprentissage illustré par cinquante problèmes accompagnés de leur correction détaillée. Ce livre présente une nouvelle méthode d'analyse asymptotique pour des problèmes de "couche limite". Celle-ci est appelée MASC "Méthode des Approximations Successives Complémentaires". La première moitié du livre est consacrée, outre la présentation de la MASC, à ordonner les connaissances nécessaires à l'analyse asymptotique et à donner les clés permettant la compréhension de ce qu'est un problème dit de "couche limite" et des méthodes permettant de construire une approximation. La seconde partie est consacrée à l'application de la MASC en mécanique des fluides et à la comparaison avec les méthodes plus traditionnelles issues de la célèbre MDAR, "Méthode des Développements Asymptotiques Raccordés" Nota de contenido: aux problèmes de perturbation singulière -- Structure de couche limite -- Développements asymptotiques -- Méthode des approximations successives complémentaires -- Équations différentielles ordinaires -- Écoulements à grand nombre de Reynolds -- Couche limite interactive -- Applications des modèles de couche limite interactive -- Formes régulières de la couche limite interactive -- Couche limite turbulente -- Conclusion En línea: http://dx.doi.org/10.1007/3-540-34016-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34969 Ejemplares
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Título : Nonlinear Analysis : Stability, Approximation, and Inequalities Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Panos M. Pardalos ; Pando G. Georgiev ; Hari M. Srivastava Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Springer Optimization and Its Applications, ISSN 1931-6828 num. 68 Número de páginas: XXIX, 893 p. 26 illus., 12 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-3498-6 Idioma : Inglés (eng) Palabras clave: Mathematics Approximation theory System Mathematical optimization Optimization Approximations and Expansions Systems Theory, Control Clasificación: 51 Matemáticas Resumen: Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings. This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work Nota de contenido: Preface -- 1. Bounds of Jensen’s Type Inequality and Eigenvalues of Sturm-Liouville System (S. Abramovich) -- 2. Quadratic Operators and Quadratic Functional Equation (M. Adam, S. Czerwik) -- 3. On the Regions Containing All the Zeros of a Polynomial (C. Affane-Aji, N.K. Govil) -- 4. Some Remarks on the Group of Isometries of a Metric Space (D. Andrica, V. Bulgarean) -- 5. Rationality of the Moduli Space of Stable Pairs over a Complex Curve (I. Biswas, M. Logares, V. Muñoz) -- 6. Generalized p-valent Janowski Close-to-Convex Functions and Their Applications to the Harmonic Mappings (D. Breaz, Y. Polatoglu, N. Breaz) -- 7. Remarks on Stability of the Linear Functional Equation in Single Variable (J. Brzdek, D. Popa, B. Xu) -- 8. On a Curious q-hypergeometric Identity (M. J. Cantero, A. Iserles) -- 9. Jensen and Quadratic Functional Equations on Semigroups (E.A. Chávez, P.K. Sahoo) -- 10. On Bohr’s Inequalities (W.-S. Cheung, G. Leng, J. Pecaric, D. Zhao) -- 11. Orlicz Norm Inequalities for Conjugate Harmonic Forms (S. Ding, Y. Xing) -- 12. A Survey on Jessen’s Type Inequalities for Positive Functionals (S.S. Dragomir) -- 13. On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in C*-ternary algebras and quasi-Banach algebras (A. Ebadian, N. Ghobadipour) -- 14. Fixed points approach to the stability of the quadratic functional equation (E. Elhoucien, M. Youssef) -- 15. Bohr’s Inequality Revisited (M. Fujii, M. S. Moslehian, J. Micic) -- 16. Hyers-Ulam-Rassias Stability of Orthogonal Additive Mappings (P. Gavruta and L. Gavruta) -- 17. Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras (M.E. Gordji, N. Ghobadipour, A. Ebadian, M. B. Savadkouhi, C. Park) -- 18. Approximately Cubic n-derivations on Non–archimedean Banach Algebras (F. Habibian, R. Bolghanabadi, M.E. Gordji) -- 19. Fuzzy Stability of a Quadratic-additive Type Functional Equation (S. S. Jin, Y.-H. Lee) -- 20. Generalized Hyers-Ulam Stability of Cauchy–Jensen Functional Equations (K.-W. Jun, H.-M. Kim, E. Y. Son) -- 21. A Fixed Point Approach to the Stability of the Gamma Functional Equation (S.-M. Jung) -- 22. Random Stability of An AQCQ Functional Equation: A Fixed Point Approach (H.A. Kenary) -- 23. Basis Sets in Banach Spaces (S.V. Konyagin, Y.V. Malykhin) -- 24. Inequalities for Trigonometric Sums (S. Koumandos) -- 25. On Vandiver’s Best Result on FLT1 (P. Mihailescu) -- 26. Multiple Orthogonality and Applications in Numerical Integration (G. V. Milovanovic, M.P. Stanic) -- 27. Approximate C*-Algebra Homomorphisms Associated to an Apollonius - Jensen type Additive Mapping; A Fixed Point Approach (F. Moradlou, G. Z. Eskandani) -- 28. The Fucík Spectrum for the Negative p-Laplacian with Different Boundary Conditions (D. Motreanu, P. Winkert) -- 29. Korovkin Type Approximation Theorem for Almost and Statistical Convergence (M. Mursaleen, S. A. Mohiuddine) -- 30. On the Stability of an Additive (A. Najati) -- 31. Existence Results for Extended General Nonconvex Quasivariational Inequalities (M.A. Noor, K.I. Noor, E. Al-Said) -- 32. Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities (M.A. Noor, K.I. Noor, E. Al-Said) -- 33. On the Asymptotic Behavior of Solutions to General Linear Functional Equations (B. Paneah) -- 34. On the Stability of an Additive and Quadratic Functional Equation (C. Park) -- 35. Classification and Stability of Functional Equations (C. Park, M. E. Gordji, R. Saadati) -- 36. Exotic n-d’Alembert PDE’s and Stability (A. Prástaro) -- 37. Stability of Affine Approximations on Bounded Domains (V.Y. Protasov) -- 38. Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions (H. M. Srivastava) -- 39. The Hyers–Ulam and the Hahn–Banach Theorems and Some Elementary Operations on Relations Motivated by Their Set-valued Generalizations (Á. Száz) -- 40. Spectral Analysis and Spectral Synthesis (L. Székelyhidi) -- 41. Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky (A. A. Ungar) -- 42. Hilbert-Type Integral Operators: Norms and Inequalities (B. Yang) -- 43. On the Stability of the Pexiderized Sine Functional Equation (X. Zhao, X. Yang) -- 44. Stability of Additive-quadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces (W. Zhihua, Z. Wanxiong) En línea: http://dx.doi.org/10.1007/978-1-4614-3498-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32800 Nonlinear Analysis : Stability, Approximation, and Inequalities [documento electrónico] / SpringerLink (Online service) ; Panos M. Pardalos ; Pando G. Georgiev ; Hari M. Srivastava . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XXIX, 893 p. 26 illus., 12 illus. in color : online resource. - (Springer Optimization and Its Applications, ISSN 1931-6828; 68) .
ISBN : 978-1-4614-3498-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Approximation theory System Mathematical optimization Optimization Approximations and Expansions Systems Theory, Control Clasificación: 51 Matemáticas Resumen: Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings. This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work Nota de contenido: Preface -- 1. Bounds of Jensen’s Type Inequality and Eigenvalues of Sturm-Liouville System (S. Abramovich) -- 2. Quadratic Operators and Quadratic Functional Equation (M. Adam, S. Czerwik) -- 3. On the Regions Containing All the Zeros of a Polynomial (C. Affane-Aji, N.K. Govil) -- 4. Some Remarks on the Group of Isometries of a Metric Space (D. Andrica, V. Bulgarean) -- 5. Rationality of the Moduli Space of Stable Pairs over a Complex Curve (I. Biswas, M. Logares, V. Muñoz) -- 6. Generalized p-valent Janowski Close-to-Convex Functions and Their Applications to the Harmonic Mappings (D. Breaz, Y. Polatoglu, N. Breaz) -- 7. Remarks on Stability of the Linear Functional Equation in Single Variable (J. Brzdek, D. Popa, B. Xu) -- 8. On a Curious q-hypergeometric Identity (M. J. Cantero, A. Iserles) -- 9. Jensen and Quadratic Functional Equations on Semigroups (E.A. Chávez, P.K. Sahoo) -- 10. On Bohr’s Inequalities (W.-S. Cheung, G. Leng, J. Pecaric, D. Zhao) -- 11. Orlicz Norm Inequalities for Conjugate Harmonic Forms (S. Ding, Y. Xing) -- 12. A Survey on Jessen’s Type Inequalities for Positive Functionals (S.S. Dragomir) -- 13. On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in C*-ternary algebras and quasi-Banach algebras (A. Ebadian, N. Ghobadipour) -- 14. Fixed points approach to the stability of the quadratic functional equation (E. Elhoucien, M. Youssef) -- 15. Bohr’s Inequality Revisited (M. Fujii, M. S. Moslehian, J. Micic) -- 16. Hyers-Ulam-Rassias Stability of Orthogonal Additive Mappings (P. Gavruta and L. Gavruta) -- 17. Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras (M.E. Gordji, N. Ghobadipour, A. Ebadian, M. B. Savadkouhi, C. Park) -- 18. Approximately Cubic n-derivations on Non–archimedean Banach Algebras (F. Habibian, R. Bolghanabadi, M.E. Gordji) -- 19. Fuzzy Stability of a Quadratic-additive Type Functional Equation (S. S. Jin, Y.-H. Lee) -- 20. Generalized Hyers-Ulam Stability of Cauchy–Jensen Functional Equations (K.-W. Jun, H.-M. Kim, E. Y. Son) -- 21. A Fixed Point Approach to the Stability of the Gamma Functional Equation (S.-M. Jung) -- 22. Random Stability of An AQCQ Functional Equation: A Fixed Point Approach (H.A. Kenary) -- 23. Basis Sets in Banach Spaces (S.V. Konyagin, Y.V. Malykhin) -- 24. Inequalities for Trigonometric Sums (S. Koumandos) -- 25. On Vandiver’s Best Result on FLT1 (P. Mihailescu) -- 26. Multiple Orthogonality and Applications in Numerical Integration (G. V. Milovanovic, M.P. Stanic) -- 27. Approximate C*-Algebra Homomorphisms Associated to an Apollonius - Jensen type Additive Mapping; A Fixed Point Approach (F. Moradlou, G. Z. Eskandani) -- 28. The Fucík Spectrum for the Negative p-Laplacian with Different Boundary Conditions (D. Motreanu, P. Winkert) -- 29. Korovkin Type Approximation Theorem for Almost and Statistical Convergence (M. Mursaleen, S. A. Mohiuddine) -- 30. On the Stability of an Additive (A. Najati) -- 31. Existence Results for Extended General Nonconvex Quasivariational Inequalities (M.A. Noor, K.I. Noor, E. Al-Said) -- 32. Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities (M.A. Noor, K.I. Noor, E. Al-Said) -- 33. On the Asymptotic Behavior of Solutions to General Linear Functional Equations (B. Paneah) -- 34. On the Stability of an Additive and Quadratic Functional Equation (C. Park) -- 35. Classification and Stability of Functional Equations (C. Park, M. E. Gordji, R. Saadati) -- 36. Exotic n-d’Alembert PDE’s and Stability (A. Prástaro) -- 37. Stability of Affine Approximations on Bounded Domains (V.Y. Protasov) -- 38. Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions (H. M. Srivastava) -- 39. The Hyers–Ulam and the Hahn–Banach Theorems and Some Elementary Operations on Relations Motivated by Their Set-valued Generalizations (Á. Száz) -- 40. Spectral Analysis and Spectral Synthesis (L. Székelyhidi) -- 41. Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky (A. A. Ungar) -- 42. Hilbert-Type Integral Operators: Norms and Inequalities (B. Yang) -- 43. On the Stability of the Pexiderized Sine Functional Equation (X. Zhao, X. Yang) -- 44. Stability of Additive-quadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces (W. Zhihua, Z. Wanxiong) En línea: http://dx.doi.org/10.1007/978-1-4614-3498-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32800 Ejemplares
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