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Introdução à Teoria de Galois

de Simone Malacrida ...

Os seguintes tópicos são apresentados neste livro:polinômios simétricos, funções simétricas, relações simétricas e módulos de CauchyGrupo de Galois e teoria das equações de Galoisequações binomiais e teorema fundamentalproblema inverso de Galois e teorema de Ruffini-Abelresoluções de equações de segundo, terceiro e quarto grau e monodromia ... Leer más

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Os seguintes tópicos são apresentados neste livro:polinômios simétricos, funções simétricas, relações simétricas e módulos de CauchyGrupo de Galois e teoria das equações de Galoisequações binomiais e teorema fundamentalproblema inverso de Galois e teorema de Ruffini-Abelresoluções de equações de segundo, terceiro e quarto grau e monodromia
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Introduction à l'analyse fonctionnelle

de Simone Malacrida ...

Dans ce livre, les aspects de l'analyse fonctionnelle sont présentés en ce qui concerne:Espaces de Banach, Hilbert et Lebesguemesure selon Lebesgue et intégrale de Lebesguevue opérateurtransformées discrètes et continuesdistributions et espaces de Sobolev ... Leer más

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Dans ce livre, les aspects de l'analyse fonctionnelle sont présentés en ce qui concerne:Espaces de Banach, Hilbert et Lebesguemesure selon Lebesgue et intégrale de Lebesguevue opérateurtransformées discrètes et continuesdistributions et espaces de Sobolev
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Spectral Theory & Computational Methods of Sturm-Liouville Problems

de Don Hinton ...

Series series Lecture Notes in Pure and Applied Mathematics
Presenting the proceedings of the conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this text covers both qualitative and computational theory of Sturm-Liouville problems. It surveys questions in the field as well as describing applications and concepts. ... Leer más

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Presenting the proceedings of the conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this text covers both qualitative and computational theory of Sturm-Liouville problems. It surveys questions in the field as well as describing applications and concepts.
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Nonlinear Functional Analysis

de Klaus Deimling ...

Hailed as "eminently suitable as a text for a graduate course" by the Bulletin of the American Mathematical Society, this volume offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It offers extensive commentary and many examples in addition to an abundance of interesting, challenging exercises.Starting with coverage of the development of the ... Leer más

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Hailed as "eminently suitable as a text for a graduate course" by the Bulletin of the American Mathematical Society, this volume offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It offers extensive commentary and many examples in addition to an abundance of interesting, challenging exercises.Starting with coverage of the development of the
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Nonlocal Diffusion and Applications

de Enrico Valdinoci, Claudia Bucur ...

Series series Mathematics and Statistics (R0)
Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension ... Leer más

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Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension
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Singularly Perturbed Boundary Value Problems

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de Matteo Dalla Riva, Massimo Lanza de Cristoforis, Paolo Musolino ...

Series series Mathematics and Statistics (R0)
This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation ... Leer más

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This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation
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Asymptotic Geometric Analysis

Proceedings of the Fall 2010 Fields Institute Thematic Program

Edición de Monika Ludwig, Vitali D. Milman, Vladimir Pestov, Nicole Tomczak-Jaegermann ...

Series series Springer Nature Proceedings excluding Computer Science
Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and ... Leer más

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Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and
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Series series Mathematics and Statistics (R0)
The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle ... Leer más

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The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle
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Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2017-2019 Volume II

Edición de Bo'az Klartag, Emanuel Milman ...

Series series Mathematics and Statistics (R0)
Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest ... Leer más

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Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest
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Mild Differentiability Conditions for Newton's Method in Banach Spaces

de José Antonio Ezquerro Fernandez, Miguel Ángel Hernández Verón ...

Series series Mathematics and Statistics (R0)
In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved. The authors’ technique relies on the construction of a scalar sequence, not majorizing, that satisfies a system of recurrence relations, and guarantees the convergence of the method. The ... Leer más

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In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved. The authors’ technique relies on the construction of a scalar sequence, not majorizing, that satisfies a system of recurrence relations, and guarantees the convergence of the method. The
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Perturbation Theory for Linear Operators

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de Aref Jeribi ...

Series series Mathematics and Statistics (R0)
This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on ... Leer más

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This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on
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Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids

de Ruy Exel, David R. Pitts ...

Series series Mathematics and Statistics (R0)
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This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids. A fundamental result of Gelfand describes commutative C*-algebras as continuous functions on locally compact Hausdorff spaces.Kumjian, and later Renault, showed that Gelfand's result can be extended to include non-commutative C*-algebras
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Counterexamples in Operator Theory

de Mohammed Hichem Mortad ...

Series series Mathematics and Statistics (R0)
This text is the first of its kind exclusively devoted to counterexamples in operator theory and includes over 500 problems on bounded and unbounded linear operators in Hilbert spaces. This volume is geared towards graduate students studying operator theory, and the author has designated the difficulty level for each counterexample, indicating which ones are also suitable for advanced ... Leer más

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The Fuglede-Putnam Theory

de Mohammed Hichem Mortad ...

Series series Mathematics and Statistics (R0)
This book is essentially a survey of results on the Fuglede-Putnam theorem and its generalizations in a wide variety of directions. Presenting a broad overview of the results obtained in the field since the early 1950s, this is the first monograph to be dedicated to this powerful tool and its variants.Starting from historical notes and classical versions with their different proofs, the book then ... Leer más

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This book is essentially a survey of results on the Fuglede-Putnam theorem and its generalizations in a wide variety of directions. Presenting a broad overview of the results obtained in the field since the early 1950s, this is the first monograph to be dedicated to this powerful tool and its variants.Starting from historical notes and classical versions with their different proofs, the book then
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Excursions in Harmonic Analysis, Volume 4

The February Fourier Talks at the Norbert Wiener Center

Edición de Radu Balan, Matthew Begué, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou ...

Series series Mathematics and Statistics (R0)
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers and professionals in ... Leer más

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This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers and professionals in
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Fundamentals of Convex Analysis and Optimization

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de Rafael Correa, Abderrahim Hantoute, Marco A. López ...

Series series Mathematics and Statistics (R0)
This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a ... Leer más

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This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a
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Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle

de Massimiliano Berti, Jean-Marc Delort ...

Series series Mathematics and Statistics (R0)
The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure.In contrast to the many ... Leer más

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The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure.In contrast to the many
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Transfer Operators, Endomorphisms, and Measurable Partitions

de Sergey Bezuglyi, Palle E. T. Jorgensen ...

Series series Mathematics and Statistics (R0)
The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of ... Leer más

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The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of
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Representations of Infinite-Dimensional and Braid Groups

Ergodicity, Irreducibility, and Linearity

de Alexander Kosyak ...

This book offers a systematic study of one particular representation of infinite-dimensional and braid groups, with a focus on the intricate relationships between ergodicity, irreducibility, and linearity. It develops a unified analytical framework for understanding how von Neumann algebras, quasi-invariant measures, and probabilistic methods interact in the representation theory of non-locally ... Leer más

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This book offers a systematic study of one particular representation of infinite-dimensional and braid groups, with a focus on the intricate relationships between ergodicity, irreducibility, and linearity. It develops a unified analytical framework for understanding how von Neumann algebras, quasi-invariant measures, and probabilistic methods interact in the representation theory of non-locally
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100 Exercices Résolus : Inéquations du Premier Degré

100 Exercices Résolus – Série de Pratique Mathématique, #6

de BELAID OUHARROU ALRAIS ...

Series Libro 6 - 100 Exercices Résolus – Série de Pratique Mathématique
100 exercices résolus : inéquations du premier degré – Par la pratique, pas par la théorie !Ce livre s'adresse aux élèves qui souhaitent améliorer leurs compétences en résolution d'inéquations à une inconnue – sans explications longues ni distractions inutiles. Il propose 100 exercices ciblés avec des solutions claires, étape par étape, pour t'aider à progresser en confiance et en précision grâce ... Leer más

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100 exercices résolus : inéquations du premier degré – Par la pratique, pas par la théorie !Ce livre s'adresse aux élèves qui souhaitent améliorer leurs compétences en résolution d'inéquations à une inconnue – sans explications longues ni distractions inutiles. Il propose 100 exercices ciblés avec des solutions claires, étape par étape, pour t'aider à progresser en confiance et en précision grâce
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Spectral Analysis of Infinite-Dimensional Hamiltonian Operators

de Alatancang Chen, Deyu Wu, Junjie Huang, Guolin Hou ...

Series series Mathematics and Statistics (R0)
This book provides a systematic summary and condensation of research on infinite-dimensional Hamiltonian operator spectrum theory over the past thirty years, and offers simple and concise proofs for some new achievements.The book first introduces Hamiltonian systems, both finite-dimensional and infinite-dimensional, laying the foundation for the subsequent introduction of infinite-dimensional ... Leer más

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This book provides a systematic summary and condensation of research on infinite-dimensional Hamiltonian operator spectrum theory over the past thirty years, and offers simple and concise proofs for some new achievements.The book first introduces Hamiltonian systems, both finite-dimensional and infinite-dimensional, laying the foundation for the subsequent introduction of infinite-dimensional
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Constructive Real Analysis

de Allen A. Goldstein ...

Series series Dover Books on Mathematics
This text introduces the methods of applied functional analysis and applied convexity. Suitable for advanced undergraduates and graduate students of mathematics, science, and technology, it focuses on the solutions to two closely related problems. The first concerns finding roots of systems of equations and operative equations in a given region. The second involves extremal problems of minimizing ... Leer más

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This text introduces the methods of applied functional analysis and applied convexity. Suitable for advanced undergraduates and graduate students of mathematics, science, and technology, it focuses on the solutions to two closely related problems. The first concerns finding roots of systems of equations and operative equations in a given region. The second involves extremal problems of minimizing
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Singular Perturbations and Boundary Layers

de Gung-Min Gie, Makram Hamouda, Chang-Yeol Jung, Roger M. Temam ...

Series series Mathematics and Statistics (R0)
Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the ... Leer más

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Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the
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Manuale di matematica avanzata

de Simone Malacrida ...

Questo libro esplora gran parte della matematica avanzata, partendo dalla pietra miliare data dall’analisi matematica fino ad arrivare alla geometria differenziale e frattale, alla logica matematica, alla topologia algebrica, alla statistica avanzata e all’analisi numerica. Nel contempo saranno forniti approfondimenti completi circa le equazioni differenziali e integrali, l’analisi funzionale, lo ... Leer más

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Questo libro esplora gran parte della matematica avanzata, partendo dalla pietra miliare data dall’analisi matematica fino ad arrivare alla geometria differenziale e frattale, alla logica matematica, alla topologia algebrica, alla statistica avanzata e all’analisi numerica. Nel contempo saranno forniti approfondimenti completi circa le equazioni differenziali e integrali, l’analisi funzionale, lo
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eBooks de Análisis funcional

Introdução à Teoria de Galois

Introduction à l'analyse fonctionnelle

Spectral Theory & Computational Methods of Sturm-Liouville Problems

Nonlinear Functional Analysis

Nonlocal Diffusion and Applications

Singularly Perturbed Boundary Value Problems

Asymptotic Geometric Analysis

Multi-scale Analysis for Random Quantum Systems with Interaction

Geometric Aspects of Functional Analysis

Mild Differentiability Conditions for Newton's Method in Banach Spaces

Perturbation Theory for Linear Operators

Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids

Counterexamples in Operator Theory

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Manuale di matematica avanzata