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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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Characterization of C(x) among its Subalgebras

de R. B. Burckel ...

Series series Lecture Notes in Pure and Applied Mathematics
This book presents a detailed account of some results about subalgebras of C(X), which carry a Banach algebra norm. It is intended for students who have had a standard graduate real-variable course and be acquainted with a few odds and ends of functional analysis and complex-variables. ... Leer más

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This book presents a detailed account of some results about subalgebras of C(X), which carry a Banach algebra norm. It is intended for students who have had a standard graduate real-variable course and be acquainted with a few odds and ends of functional analysis and complex-variables.
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Methods of Mathematical Modelling

Fractional Differential Equations

Edición de Harendra Singh, Devendra Kumar, Dumitru Baleanu ...

Series series Mathematics and its Applications
This book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, systems ... Leer más

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This book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, systems
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Special Functions in Fractional Calculus and Engineering

Edición de Harendra Singh, H M Srivastava, R. K. Pandey ...

Series series Mathematics and its Applications
Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their fractional-order analogs, which model real-life situations. Owing to the non-local nature and memory effect, fractional calculus is capable of modeling many situations which arise in engineering. This book includes a collection of related topics associated with ... Leer más

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Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their fractional-order analogs, which model real-life situations. Owing to the non-local nature and memory effect, fractional calculus is capable of modeling many situations which arise in engineering. This book includes a collection of related topics associated with
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Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2014–2016

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

Series series Mathematics and Statistics (R0)
As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are ... Leer más

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As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are
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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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Fluids Under Control

Edición de Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová ...

Series series Mathematics and Statistics (R0)
This volume explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stabilization and control. Chapters are based on lectures given at the summer school “Fluids under Control”, held in Prague from August 23-27, 2021. With its accessible and flexible presentation, readers will be motivated to deepen their understanding of how mathematics and physics are ... Leer más

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This volume explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stabilization and control. Chapters are based on lectures given at the summer school “Fluids under Control”, held in Prague from August 23-27, 2021. With its accessible and flexible presentation, readers will be motivated to deepen their understanding of how mathematics and physics are
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An Introduction to Special Functions

de Carlo Viola ...

Series series Mathematics and Statistics (R0)
The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable ... Leer más

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The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable
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Invariant Probabilities of Transition Functions

de Radu Zaharopol ...

Series series Mathematics and Statistics (R0)
The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other ... Leer más

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The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other
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Semigroups of Linear Operators and Applications

Second Edition

de Jerome A. Goldstein ...

Series series Dover Books on Mathematics
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Iterative Methods without Inversion

de Anatoly Galperin ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Iterative Methods without Inversion presents the iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. It covers methods that do not require inversions of f (or solving linearized subproblems). The typical representatives of the class of methods discussed are Ulm’s and Broyden’s methods. Convergence analyses of the methods considered are based on Kantorovich’s ... Leer más

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Iterative Methods without Inversion presents the iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. It covers methods that do not require inversions of f (or solving linearized subproblems). The typical representatives of the class of methods discussed are Ulm’s and Broyden’s methods. Convergence analyses of the methods considered are based on Kantorovich’s
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Background and Recent Developments of Metric Fixed Point Theory

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Constructive Real Analysis

de Allen A. Goldstein ...

Series series Dover Books on Mathematics
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Landscapes of Time-Frequency Analysis

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Series series Mathematics and Statistics (R0)
The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2017, which brought together experts in harmonic analysis and its applications. New connections between different but related areas were presented in the context of time-frequency analysis, encouraging future research and collaborations. Some of ... Leer más

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Series series Mathematics and Statistics (R0)
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This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating the topic and contains new and transparent proofs. Its scope extends from the classical functional equations on the real line to those on groups, in particular, non-abelian groups. This volume presents, ... Leer más

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Recent Advances in Mechanics and Fluid-Structure Interaction with Applications

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Edición de Fernando Carapau, Ashwin Vaidya ...

Series series Mathematics and Statistics (R0)
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This volume examines current research in mechanics and its applications to various disciplines, with a particular focus on fluid-structure interaction (FSI). The topics have been chosen in commemoration of Dr. Bong Jae Chung and with respect to his wide range of research interests. This volume stands apart because of this diversity of interests, featuring an interdisciplinary and in-depth analysis
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Introduction à l'analyse fonctionnelle

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Advances in Matrix Inequalities

de Mohammad Bagher Ghaemi, Nahid Gharakhanlu, Themistocles M. Rassias, Reza Saadati ...

Series series Mathematics and Statistics (R0)
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This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities. In addition to the frequent use of methods from Functional Analysis, Operator Theory, Global Analysis, Linear Algebra, Approximations Theory, Difference and Functional Equations and more, the reader will also appreciate techniques of classical analysis and algebraic arguments, as
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Series series Mathematics and Statistics (R0)
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This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation. All analysis is performed in the case of open sets in the Euclidean space; a second volume will extend this treatment to
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New Prospects in Direct, Inverse and Control Problems for Evolution Equations

Edición de Angelo Favini, Genni Fragnelli, Rosa Maria Mininni ...

Series series Mathematics and Statistics (R0)
This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have ... Leer más

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This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have
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Dual Variational Approach to Nonlinear Diffusion Equations

de Gabriela Marinoschi ...

Series series Mathematics and Statistics (R0)
This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. The author demonstrates how this method can be utilized as a convenient tool for proving the existence of these solutions when others may fail, such as in cases of evolution equations with nonautonomous operators, ... Leer más

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This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. The author demonstrates how this method can be utilized as a convenient tool for proving the existence of these solutions when others may fail, such as in cases of evolution equations with nonautonomous operators,
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Tropical Value Distribution Theory And Ultra-discrete Equations

de Risto Korhonen, Ilpo Laine, Kazuya Tohge ...

This is the first textbook-type presentation of tropical value distribution theory. It provides a detailed introduction of the tropical version of the Nevanlinna theory, describing growth and value distribution analysis of continuous, piecewise linear functions on the real axis. The book also includes applications of this theory to ultra-discrete equations. Three appendices are given to compare ... Leer más

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This is the first textbook-type presentation of tropical value distribution theory. It provides a detailed introduction of the tropical version of the Nevanlinna theory, describing growth and value distribution analysis of continuous, piecewise linear functions on the real axis. The book also includes applications of this theory to ultra-discrete equations. Three appendices are given to compare
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Methods of Mathematical Modelling

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Trace Inequalities

Fluids Under Control

An Introduction to Special Functions

Invariant Probabilities of Transition Functions

Semigroups of Linear Operators and Applications

Iterative Methods without Inversion

Background and Recent Developments of Metric Fixed Point Theory

Constructive Real Analysis

Landscapes of Time-Frequency Analysis

Regular Functions of a Quaternionic Variable

Functional Equations On Groups

Recent Advances in Mechanics and Fluid-Structure Interaction with Applications

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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

New Prospects in Direct, Inverse and Control Problems for Evolution Equations

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