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Nonlinear Evolution Equations

de Songmu Zheng ...

Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator ... Leer más

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Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator
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Topological Quantum Field Theories from Subfactors

de Vijay Kodiyalam ...

Series series Chapman & Hall/CRC Research Notes in Mathematics Series
Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is both detailed and accessible. Topological Quant ... Leer más

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Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is both detailed and accessible. Topological Quant
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Complex Analysis

A Modern First Course in Function Theory

de Jerry R. Muir Jr. ...

A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subjectWritten with a reader-friendly approach, Complex Analysis: A Modern First Course in Function Theory features a self-contained, concise development of the fundamental principles of complex analysis. After laying groundwork on complex numbers and the calculus and ... Leer más

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A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subjectWritten with a reader-friendly approach, Complex Analysis: A Modern First Course in Function Theory features a self-contained, concise development of the fundamental principles of complex analysis. After laying groundwork on complex numbers and the calculus and
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Leavitt Path Algebras

de Gene Abrams, Mercedes Siles Molina, Pere Ara ...

Series series Mathematics and Statistics (R0)
This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume.Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. ... Leer más

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This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume.Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic.
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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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Many-Body Schrödinger Equation

Scattering Theory and Eigenfunction Expansions

de Hiroshi Isozaki ...

Series series Physics and Astronomy (R0)
Spectral properties for Schrödinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle systems, we now have sufficient knowledge for two-body systems, although much less is known about N-body systems. The asymptotic completeness of time-dependent wave operators was proved in the 1980s and was a landmark in the study of the N-body problem. ... Leer más

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Spectral properties for Schrödinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle systems, we now have sufficient knowledge for two-body systems, although much less is known about N-body systems. The asymptotic completeness of time-dependent wave operators was proved in the 1980s and was a landmark in the study of the N-body problem.
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Potential Theory on Sierpiński Carpets

With Applications to Uniformization

de Dimitrios Ntalampekos ...

Series series Mathematics and Statistics (R0)
This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs ... Leer más

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This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs
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Descriptive Topology and Functional Analysis

In Honour of Jerzy Kakol’s 60th Birthday

Edición de Manuel López-Pellicer, Juan Carlos Ferrando ...

Series series Springer Nature Proceedings excluding Computer Science
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Jump SDEs and the Study of Their Densities

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de Arturo Kohatsu-Higa, Atsushi Takeuchi ...

Series series Mathematics and Statistics (R0)
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The present book deals with a streamlined presentation of Lévy processes and their densities. It is directed at advanced undergraduates who have already completed a basic probability course. Poisson random variables, exponential random variables, and the introduction of Poisson processes are presented first, followed by the introduction of Poisson random measures in a simple case. With these tools
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Intermediate Algebra

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Intermediate Algebra provides precollege algebra students with the essentials for understanding what algebra is, how it works, and why it so useful. It is written with plain language and includes annotated examples and practice exercises so that even students with an aversion to math will understand these ideas and learn how to apply them. This textbook expands on algebraic concepts that students
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New Trends in Complex Analysis, Fourier Analysis, and Operator Theory

Edición de Nicola Arcozzi, Marco Peloso, Anita Tabacco ...

Series series Springer Nature Proceedings excluding Computer Science
This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022. This workshop was funded by the Istituto Nazionale di Alta Matematica (INdAM) and took place at the institute's Rome headquarters. The research topics addressed during the workshop encompass areas such as ... Leer más

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This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022. This workshop was funded by the Istituto Nazionale di Alta Matematica (INdAM) and took place at the institute's Rome headquarters. The research topics addressed during the workshop encompass areas such as
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Functional Analysis

de George Bachman, Lawrence Narici ...

Series series Dover Books on Mathematics
Excellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed and metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach theorem and its consequences, spectral notions, square roots, a spectral decomposition theorem, and many other related ... Leer más

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Excellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed and metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach theorem and its consequences, spectral notions, square roots, a spectral decomposition theorem, and many other related
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Series series Mathematics and Statistics (R0)
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Numerical Methods for Fractal-Fractional Differential Equations and Engineering

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de Muhammad Altaf Khan, Abdon Atangana ...

Series series Mathematics and its Applications
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The Complete Idiot's Guide to Trigonometry

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de Dmitriy Fotiyev, Izolda Fotiyeva Ph.D. ...

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- Follows a standard course curriculum.- Includes both polar coordinates and complex numbers, unlike the competition.
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A Compact Course on Linear PDEs

de Alberto Valli ...

Series series Mathematics and Statistics (R0)
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This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory, saddle point problems,
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Modern Real Analysis

de Monica Torres, William P. Ziemer ...

Series series Mathematics and Statistics (R0)
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This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration. Presented in a definitive and self-contained manner, it features a natural progression of concepts from simple to difficult. Several innovative topics are featured, including differentiation of measures, elements of Functional Analysis, the Riesz Representation Theorem
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Finite Elements III

First-Order and Time-Dependent PDEs

de Alexandre Ern, Jean-Luc Guermond ...

Series series Mathematics and Statistics (R0)
This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed ... Leer más

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This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed
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Measure and Integration

de Satish Shirali, Harkrishan Lal Vasudeva ...

Series series Mathematics and Statistics (R0)
This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis.Proceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgue integration. Further chapters cover Fourier series, differentiation, modes of convergence, and ... Leer más

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This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis.Proceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgue integration. Further chapters cover Fourier series, differentiation, modes of convergence, and
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A Primer on Hilbert Space Theory

Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups

de Carlo Alabiso, Ittay Weiss ...

Series series Physics and Astronomy (R0)
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This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in
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Exercises and Problems in Mathematical Methods of Physics

de Giampaolo Cicogna ...

Series series Physics and Astronomy (R0)
This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts ... Leer más

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This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts
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Generalized Locally Toeplitz Sequences: Theory and Applications

Volume II

de Carlo Garoni, Stefano Serra-Capizzano ...

Series series Mathematics and Statistics (R0)
Based on the authors’ research experience, this two-volume reference textbook focuses on the theory of generalized locally Toeplitz sequences and its applications. The first volume discusses the univariate version of the theory and the related applications in the unidimensional setting, while this second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications ... Leer más

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Based on the authors’ research experience, this two-volume reference textbook focuses on the theory of generalized locally Toeplitz sequences and its applications. The first volume discusses the univariate version of the theory and the related applications in the unidimensional setting, while this second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications
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Connected Sets in Global Bifurcation Theory

de Boris Buffoni, John Toland ...

Series series Mathematics and Statistics (R0)
This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts. Building on Rabinowitz's dichotomy and classical results on Peano continua, the authors introduce "congestion points"—where connected sets fail to be weakly locally connected—and examine the extent to which their ... Leer más

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This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts. Building on Rabinowitz's dichotomy and classical results on Peano continua, the authors introduce "congestion points"—where connected sets fail to be weakly locally connected—and examine the extent to which their
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Trace Inequalities

For Matrices and Hilbert Space Operators

de Airat M. Bikchentaev, Fuad Kittaneh, Mohammad Sal Moslehian, Yuki Seo ...

Series series Mathematics and Statistics (R0)
This book is a comprehensive and advanced exploration of trace inequalities in the context of matrices and operators acting on Hilbert spaces. Its goal is to present elegant inequalities with innovative proofs. Instead of presenting generalized versions that can be complicated and lack clarity, the book focuses on beautiful and original inequalities. Divided into eight chapters, this book is ... Leer más

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This book is a comprehensive and advanced exploration of trace inequalities in the context of matrices and operators acting on Hilbert spaces. Its goal is to present elegant inequalities with innovative proofs. Instead of presenting generalized versions that can be complicated and lack clarity, the book focuses on beautiful and original inequalities. Divided into eight chapters, this book is
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Recomendado para ti

eBooks de Análisis funcional

Nonlinear Evolution Equations

Topological Quantum Field Theories from Subfactors

Complex Analysis

Leavitt Path Algebras

Asymptotic Geometric Analysis

Many-Body Schrödinger Equation

Potential Theory on Sierpiński Carpets

Descriptive Topology and Functional Analysis

Jump SDEs and the Study of Their Densities

Intermediate Algebra

New Trends in Complex Analysis, Fourier Analysis, and Operator Theory

Functional Analysis

Pseudo-Differential Operators: Groups, Geometry and Applications

Numerical Methods for Fractal-Fractional Differential Equations and Engineering

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Modern Real Analysis

Finite Elements III

Measure and Integration

A Primer on Hilbert Space Theory

Exercises and Problems in Mathematical Methods of Physics

Generalized Locally Toeplitz Sequences: Theory and Applications

Connected Sets in Global Bifurcation Theory

Trace Inequalities