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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

RM 190.59

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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Measure-Theoretic Calculus in Abstract Spaces

On the Playground of Infinite-Dimensional Spaces

by Zigang Pan ...

Series series Mathematics and Statistics (R0)
This monograph provides a rigorous, encyclopedic treatment of the fundamental topics in real analysis, functional analysis, and measure theory. The result of many years of the author’s careful and extensive work, this text synthesizes and builds upon the existing literature in an effort to develop and solidify the theory of measure-theoretic calculus in abstract spaces. Standard results and proofs ... Read more

RM 796.59

This monograph provides a rigorous, encyclopedic treatment of the fundamental topics in real analysis, functional analysis, and measure theory. The result of many years of the author’s careful and extensive work, this text synthesizes and builds upon the existing literature in an effort to develop and solidify the theory of measure-theoretic calculus in abstract spaces. Standard results and proofs
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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

RM 230.59

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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Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I

Abstract Theory

by Atsushi Yagi ...

Series series Mathematics and Statistics (R0)
The classical Łojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Łojasiewicz–Simon gradient inequality. This book presents a unified method to show asymptotic convergence of solutions to a stationary solution for abstract parabolic evolution equations of the gradient form by utilizing this Łojasiewicz–Simon gradient inequality.In ... Read more

RM 272.49

The classical Łojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Łojasiewicz–Simon gradient inequality. This book presents a unified method to show asymptotic convergence of solutions to a stationary solution for abstract parabolic evolution equations of the gradient form by utilizing this Łojasiewicz–Simon gradient inequality.In
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New Trends in One-Dimensional Dynamics

In Honour of Welington de Melo on the Occasion of His 70th Birthday IMPA 2016, Rio de Janeiro, Brazil, November 14–17

Edited by Maria José Pacifico, Pablo Guarino ...

Series series Springer Nature Proceedings excluding Computer Science
This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016.Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in ... Read more

RM 209.59

This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016.Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in
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The Scottish Book

Mathematics from The Scottish Café, with Selected Problems from The New Scottish Book

Edited by R. Daniel Mauldin ...

Series series Mathematics and Statistics (R0)
The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as ... Read more

RM 586.99

The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as
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Many-Body Schrödinger Equation

Scattering Theory and Eigenfunction Expansions

by 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. ... Read more

RM 628.89

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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The Reflection of Life

Functional Entailment and Imminence in Relational Biology

by A. H. Louie ...

Series series Mathematics and Statistics (R0)
A. H. Louie’s The Reflection of Life: Functional Entailment and Imminence in Relational Biology is a continuation of the exploratory journey in relational biology which began with his 2009 monograph More Than Life Itself: A Synthetic Continuation in Relational Biology. The theme of his first book was ‘What is life?’; the theme of this sequel is “How do two life forms interact?” Biology is a ... Read more

RM 335.39

A. H. Louie’s The Reflection of Life: Functional Entailment and Imminence in Relational Biology is a continuation of the exploratory journey in relational biology which began with his 2009 monograph More Than Life Itself: A Synthetic Continuation in Relational Biology. The theme of his first book was ‘What is life?’; the theme of this sequel is “How do two life forms interact?” Biology is a
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Applied Fourier Analysis

From Signal Processing to Medical Imaging

by Tim Olson ...

The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to ... Read more

RM 209.59

The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to
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Applications of Nonlinear Analysis

Edited by Themistocles M. Rassias ...

Series series Mathematics and Statistics (R0)
New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory.Topics include:Fixed point theoryFixed ... Read more

RM 670.79

New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory.Topics include:Fixed point theoryFixed
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Metric Fixed Point Theory

Applications in Science, Engineering and Behavioural Sciences

Edited by Pradip Debnath, Nabanita Konwar, Stojan Radenović ...

Series series Mathematics and Statistics (R0)
This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences. Chapters contributed by renowned researchers from across the world, this book includes several useful tools and techniques for the development of skills and expertise in the area. The book presents the study of common fixed points in a ... Read more

RM 544.99

This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences. Chapters contributed by renowned researchers from across the world, this book includes several useful tools and techniques for the development of skills and expertise in the area. The book presents the study of common fixed points in a
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Differential and Difference Equations with Applications

ICDDEA 2019, Lisbon, Portugal, July 1–5

Edited by Sandra Pinelas, John R. Graef, Stefan Hilger, Peter Kloeden, Christos Schinas ...

Series series Springer Nature Proceedings excluding Computer Science
This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019.First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on ... Read more

RM 918.19

This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019.First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on
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Operator Theory, Functional Analysis and Applications

Edited by M. Amélia Bastos, Luís Castro, Alexei Yu. Karlovich ...

Series series Springer Nature Proceedings excluding Computer Science
This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional ... Read more

RM 712.69

This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional
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Metric Modular Spaces

by Vyacheslav Chistyakov ...

Series series Mathematics and Statistics (R0)
Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the ... Read more

RM 209.59

Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the
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Functional Analysis in Interdisciplinary Applications

Astana, Kazakhstan, October 2017

Edited by Tynysbek Sh. Kalmenov, Erlan D. Nursultanov, Michael V. Ruzhansky, Makhmud A. Sadybekov ...

Series series Springer Nature Proceedings excluding Computer Science
This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces; ... Read more

RM 377.29

This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces;
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Recent Advances in Mathematical Analysis

Celebrating the 70th Anniversary of Francesco Altomare

Edited by Anna Maria Candela, Mirella Cappelletti Montano, Elisabetta Mangino ...

Series series Mathematics and Statistics (R0)
This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary. ... Read more

RM 544.99

This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary.
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The Wonders of the Cesàro Operator

by Javad Mashreghi, William T. Ross ...

Series series Mathematics and Statistics (R0)
This is a survey of the classical Cesàro operator aimed at graduate students as well as more experienced researchers. The eleven chapters of the book cover topics from Cesàro's early work on summability of series and continues with the seminal paper of Brown, Halmos, and Shields on the Cesàro operator.Along the way, various normality classes of the Cesàro operator are covered, as well as invariant ... Read more

RM 628.89

This is a survey of the classical Cesàro operator aimed at graduate students as well as more experienced researchers. The eleven chapters of the book cover topics from Cesàro's early work on summability of series and continues with the seminal paper of Brown, Halmos, and Shields on the Cesàro operator.Along the way, various normality classes of the Cesàro operator are covered, as well as invariant
... Read more
Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

Edited by Marc Peigné, Françoise Dal'Bo, Andrea Sambusetti ...

Series series Mathematics and Statistics (R0)
The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stéphane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frédéric Faure and Masato Tsujii). The contributions aim to give a self-contained introduction to ... Read more

RM 209.59

The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stéphane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frédéric Faure and Masato Tsujii). The contributions aim to give a self-contained introduction to
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Esercizi di matematica: distribuzioni

by Simone Malacrida ...

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:distribuzioni e supportidistribuzioni temperateoperazioni sulle distribuzioniSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi. ... Read more

RM 15.64

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:distribuzioni e supportidistribuzioni temperateoperazioni sulle distribuzioniSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi.
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Manuale di matematica avanzata

by 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 ... Read more

RM 19.56

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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Approximate Iterative Algorithms

by Anthony Louis Almudevar ...

Iterative algorithms often rely on approximate evaluation techniques, which may include statistical estimation, computer simulation or functional approximation. This volume presents methods for the study of approximate iterative algorithms, providing tools for the derivation of error bounds and convergence rates, and for the optimal design of such ... Read more

RM 372.42

Iterative algorithms often rely on approximate evaluation techniques, which may include statistical estimation, computer simulation or functional approximation. This volume presents methods for the study of approximate iterative algorithms, providing tools for the derivation of error bounds and convergence rates, and for the optimal design of such
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Excursions in Harmonic Analysis, Volume 4

The February Fourier Talks at the Norbert Wiener Center

Edited by 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 ... Read more

RM 209.59

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
... Read more
Contributions To The Theory Of Zeta-functions: The Modular Relation Supremacy

by Shigeru Kanemitsu, Haruo Tsukada ...

Series Book 10 - Series On Number Theory And Its Applications
This volume provides a systematic survey of almost all the equivalent assertions to the functional equations — zeta symmetry — which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ... Read more

RM 162.39

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations — zeta symmetry — which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for
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Homogenisation of Laminated Metamaterials and the Inner Spectrum

by Marcus Waurick ...

Series series Mathematics and Statistics (R0)
This book investigates homogenisation problems for divergence form equations with rapidly sign-changing coefficients. Focusing on problems with piecewise constant, scalar coefficients in a (d-dimensional) crosswalk type shape, we will provide a limit procedure in order to understand potentially ill-posed and non-coercive settings.Depending on the integral mean of the coefficient and its inverse, ... Read more

RM 188.69

This book investigates homogenisation problems for divergence form equations with rapidly sign-changing coefficients. Focusing on problems with piecewise constant, scalar coefficients in a (d-dimensional) crosswalk type shape, we will provide a limit procedure in order to understand potentially ill-posed and non-coercive settings.Depending on the integral mean of the coefficient and its inverse,
... Read more

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Recommended For You

Functional Analysis eBooks

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

Measure-Theoretic Calculus in Abstract Spaces

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

Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I

New Trends in One-Dimensional Dynamics

The Scottish Book

Many-Body Schrödinger Equation

The Reflection of Life

Applied Fourier Analysis

Applications of Nonlinear Analysis

Metric Fixed Point Theory

Differential and Difference Equations with Applications

Operator Theory, Functional Analysis and Applications

Metric Modular Spaces

Functional Analysis in Interdisciplinary Applications

Recent Advances in Mathematical Analysis

The Wonders of the Cesàro Operator

Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

Esercizi di matematica: distribuzioni

Manuale di matematica avanzata

Approximate Iterative Algorithms

Excursions in Harmonic Analysis, Volume 4

Contributions To The Theory Of Zeta-functions: The Modular Relation Supremacy

Homogenisation of Laminated Metamaterials and the Inner Spectrum