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Recommended For You

Problems And Proofs In Real Analysis: Theory Of Measure And Integration

by James J Yeh ...

This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition).Most of the problems in Real Analysis are not mere applications of theorems proved in the book but rather extensions of the proven theorems or related theorems. Proving these problems tests the depth of understanding of the theorems in the main text.This volume will be especially ... Read more

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This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition).Most of the problems in Real Analysis are not mere applications of theorems proved in the book but rather extensions of the proven theorems or related theorems. Proving these problems tests the depth of understanding of the theorems in the main text.This volume will be especially
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Exercises of Galois Theory

by Simone Malacrida ...

In this book, exercises are carried out regarding the following mathematical topics:polynomials and symmetrical formsCauchy modules and monodromyBinomial, second-, third- and fourth-degree equations.Initial theoretical hints are also presented to make the conduct of the exercises understandable. ... Read more

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In this book, exercises are carried out regarding the following mathematical topics:polynomials and symmetrical formsCauchy modules and monodromyBinomial, second-, third- and fourth-degree equations.Initial theoretical hints are also presented to make the conduct of the exercises understandable.
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Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

by Mikhail Borsuk ...

Series series Mathematics and Statistics (R0)
The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth ... Read more

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The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth
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Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Edited by Hemen Dutta, Ljubiša D. R. Kočinac, Hari M. Srivastava ...

Series series Mathematics and Statistics (R0)
This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, ... Read more

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This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems,
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Theory of Linear Operations

by S. Banach ...

Series Book 38 - North-Holland Mathematical Library
This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra.The book gathers results concerning linear operators defined in general spaces of a certain kind, ... Read more

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This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra.The book gathers results concerning linear operators defined in general spaces of a certain kind,
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Stochastic Evolution Systems

Linear Theory and Applications to Non-Linear Filtering

by Boris L. Rozovsky, Sergey V. Lototsky ...

Series Book 89 - Probability Theory and Stochastic Modelling
This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.The emphasis lies on second-order stochastic parabolic equations and their connection to random dynamical systems. The authors further explore applications to the theory of optimal ... Read more

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This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.The emphasis lies on second-order stochastic parabolic equations and their connection to random dynamical systems. The authors further explore applications to the theory of optimal
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Differential Geometry and Riemannian Manifolds

by Friedrich Sauvigny ...

This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric problems. By introducing isothermal parameters, it simplifies the fundamental equations of surface theory, leading to clear derivations of results like those of H Hopf and S Bernstein for surfaces of constant and vanishing mean curvature.Deviating from traditional approaches, the ... Read more

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This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric problems. By introducing isothermal parameters, it simplifies the fundamental equations of surface theory, leading to clear derivations of results like those of H Hopf and S Bernstein for surfaces of constant and vanishing mean curvature.Deviating from traditional approaches, the
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Non-Archimedean Operator Theory

by Toka Diagana, François Ramaroson ...

Series series Mathematics and Statistics (R0)
This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized ... Read more

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This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized
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Convergence of One-Parameter Operator Semigroups

In Models of Mathematical Biology and Elsewhere

by Adam Bobrowski ...

Series Book 30 - New Mathematical Monographs
This book presents a detailed and contemporary account of the classical theory of convergence of semigroups and its more recent development treating the case where the limit semigroup, in contrast to the approximating semigroups, acts merely on a subspace of the original Banach space (this is the case, for example, with singular perturbations). The author demonstrates the far-reaching applications ... Read more

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This book presents a detailed and contemporary account of the classical theory of convergence of semigroups and its more recent development treating the case where the limit semigroup, in contrast to the approximating semigroups, acts merely on a subspace of the original Banach space (this is the case, for example, with singular perturbations). The author demonstrates the far-reaching applications
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Advances in Summability and Approximation Theory

Edited by S. A. Mohiuddine, Tuncer Acar ...

Series series Mathematics and Statistics (R0)
This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus, which is ... Read more

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This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus, which is
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Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable

by Niels Jacob, Kristian P Evans ...

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Operator Theory and Analysis of Infinite Networks

Theory and Applications

by Palle E T Jorgensen, Erin P J Pearse ...

Series Book 7 - Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes
This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical processes in inhomogeneous media, including heat flow through perforated or porous media. These graphs also arise in data science, e.g., considering geometrizations of datasets, statistical inference, or the propagation of memes through social ... Read more

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This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical processes in inhomogeneous media, including heat flow through perforated or porous media. These graphs also arise in data science, e.g., considering geometrizations of datasets, statistical inference, or the propagation of memes through social
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Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II

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by Jérôme Le Rousseau, Gilles Lebeau, Luc Robbiano ...

Series series Mathematics and Statistics (R0)
This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet ... Read more

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This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet
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Variational Analysis of Regular Mappings

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by Alexander D. Ioffe ...

Series series Mathematics and Statistics (R0)
This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory.The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear ... Read more

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This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory.The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear
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History of Functional Analysis

by J. Dieudonne ...

Series Book 49 - North-Holland Mathematics Studies
History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis, ... Read more

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History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis,
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Non-commutative and Non-associative Algebra and Analysis Structures

SPAS 2019, Västerås, Sweden, September 30–October 2

Edited by Sergei Silvestrov, Anatoliy Malyarenko ...

Series series Springer Nature Proceedings excluding Computer Science
The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications. The conference has been organized along the following tracks:Stochastic processes and modern statistical ... Read more

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The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications. The conference has been organized along the following tracks:Stochastic processes and modern statistical
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Dilations, Completely Positive Maps and Geometry

by B.V. Rajarama Bhat, Tirthankar Bhattacharyya ...

Series series Mathematics and Statistics (R0)
This book introduces the dilation theory of operators on Hilbert spaces and its relationship to complex geometry. Classical as well as very modern topics are covered in the book. On the one hand, it introduces the reader to the characteristic function, a classical object used by Sz.-Nagy and Foias and still a topic of current research. On the other hand, it describes the dilation theory of the ... Read more

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This book introduces the dilation theory of operators on Hilbert spaces and its relationship to complex geometry. Classical as well as very modern topics are covered in the book. On the one hand, it introduces the reader to the characteristic function, a classical object used by Sz.-Nagy and Foias and still a topic of current research. On the other hand, it describes the dilation theory of the
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Introduction to Functional Analysis

by Christian Clason ...

Series series Mathematics and Statistics (R0)
Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing.This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 ... Read more

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Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing.This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26
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Operators, Inequalities and Approximation

Theory and Applications

Edited by Binod Chandra Tripathy, Hemen Dutta, Susanta Kumar Paikray, Bidu Bhusan Jena ...

Series series Mathematics and Statistics (R0)
The book collects chapters on operator theory as well as related approximation results and analytic inequalities. It discusses the properties of various types of operators, methods for approximating such operators, proximity point problems, applications of approximation methods in other fields such as engineering, and some analytic inequalities. It seeks to capture both the pure and applied ... Read more

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The book collects chapters on operator theory as well as related approximation results and analytic inequalities. It discusses the properties of various types of operators, methods for approximating such operators, proximity point problems, applications of approximation methods in other fields such as engineering, and some analytic inequalities. It seeks to capture both the pure and applied
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Partial Differential Equations

An Introduction to Analytical and Numerical Methods

by Wolfgang Arendt, Karsten Urban ...

Translated by James B. Kennedy ...

Series series Mathematics and Statistics (R0)
This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach.A showcase of models begins the book, demonstrating how PDEs arise in ... Read more

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This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach.A showcase of models begins the book, demonstrating how PDEs arise in
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Calculus of Variations

by Filip Rindler ...

Series series Mathematics and Statistics (R0)
This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange ... Read more

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This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange
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Operator Approximant Problems Arising from Quantum Theory

by Philip J. Maher ...

Series series Mathematics and Statistics (R0)
This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory. The research presented is in non-commutative operator approximation theory or, to use Halmos' terminology, in operator approximants. Focusing on the concept of approximants, this self-contained book is suitable for graduate courses. ... Read more

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This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory. The research presented is in non-commutative operator approximation theory or, to use Halmos' terminology, in operator approximants. Focusing on the concept of approximants, this self-contained book is suitable for graduate courses.
... Read more
Brouwer Degree

The Core of Nonlinear Analysis

by George Dinca, Jean Mawhin ...

Series series Mathematics and Statistics (R0)
This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can ... Read more

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This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can
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Excel 2021

by JIAYI SIMONDS ...

DescriptionWant to learn Microsoft Excel and move the work-from-home job chances to the next level?Are you looking for a simple way to reformat and reorder data in graphs, charts, and tables?Do you want to acquire new skills and learn more about what MS 2021 has in plan for you?Then this book is the best for you, keep on reading.Microsoft Excel is a spreadsheet appli... ... Read more

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DescriptionWant to learn Microsoft Excel and move the work-from-home job chances to the next level?Are you looking for a simple way to reformat and reorder data in graphs, charts, and tables?Do you want to acquire new skills and learn more about what MS 2021 has in plan for you?Then this book is the best for you, keep on reading.Microsoft Excel is a spreadsheet appli...
... Read more

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Recommended For You

Functional Analysis eBooks

Problems And Proofs In Real Analysis: Theory Of Measure And Integration

Exercises of Galois Theory

Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Theory of Linear Operations

Stochastic Evolution Systems

Differential Geometry and Riemannian Manifolds

Non-Archimedean Operator Theory

Convergence of One-Parameter Operator Semigroups

Advances in Summability and Approximation Theory

Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable

Operator Theory and Analysis of Infinite Networks

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

Variational Analysis of Regular Mappings

History of Functional Analysis

Non-commutative and Non-associative Algebra and Analysis Structures

Dilations, Completely Positive Maps and Geometry

Introduction to Functional Analysis

Operators, Inequalities and Approximation

Partial Differential Equations

Calculus of Variations

Operator Approximant Problems Arising from Quantum Theory

Brouwer Degree

Excel 2021