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Recommended For You

Functional Analysis

Introduction to Further Topics in Analysis

by Elias M. Stein, Rami Shakarchi ...

This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to ... Read more

$619.19 HKD

This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to
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Fourier Analysis

An Introduction

by Elias M. Stein, Rami Shakarchi ...

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an ... Read more

$619.19 HKD

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an
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Real Analysis

With Proof Strategies

by Daniel W. Cunningham ...

Series series Textbooks in Mathematics
Typically, undergraduates see real analysis as one of the most diﬃcult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to ﬁnd a way to bridge the gap ... Read more

$523.72 HKD

Typically, undergraduates see real analysis as one of the most diﬃcult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to ﬁnd a way to bridge the gap
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Qualitative Properties of Dispersive PDEs

Edited by Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone ...

Series series Springer Nature Proceedings excluding Computer Science
This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations. The material covers four major lines: (1) Long time behaviour of NLS-type equations, (2) probabilistic and nonstandard methods in the study of NLS ... Read more

$1,421.19 HKD

This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations. The material covers four major lines: (1) Long time behaviour of NLS-type equations, (2) probabilistic and nonstandard methods in the study of NLS
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A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

by Sebastian Klein ...

Series series Mathematics and Statistics (R0)
This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an ... Read more

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This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an
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Landscapes of Time-Frequency Analysis

ATFA 2019

Edited by Paolo Boggiatto, Tommaso Bruno, Elena Cordero, Hans G. Feichtinger, Fabio Nicola, Alessandro Oliaro, Anita Tabacco, Maria Vallarino ...

Series series Mathematics and Statistics (R0)
This contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA 19), held at Politecnico di Torino from June 25th to June 27th, 2019. Written by experts in harmonic analysis and its applications, these chapters provide a valuable overview of the state-of-the-art of this active area of research. New results are ... Read more

$752.39 HKD

This contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA 19), held at Politecnico di Torino from June 25th to June 27th, 2019. Written by experts in harmonic analysis and its applications, these chapters provide a valuable overview of the state-of-the-art of this active area of research. New results are
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Selected Topics on Generalized Integration

by Tin Lam Toh, Hemanta Kalita, Anca Croitoru, Tomas Perez Becerra, Bipan Hazarika ...

This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves into the Henstock–Kurzweil and McShane gauge integrals, presenting a more intuitive and versatile alternative to the traditional Lebesgue integral. By ... Read more

$605.19 HKD

This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves into the Henstock–Kurzweil and McShane gauge integrals, presenting a more intuitive and versatile alternative to the traditional Lebesgue integral. By
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Operator Algebras and Applications

The Abel Symposium 2015

Edited by Sergey Neshveyev, Nadia S. Larsen, Toke M. Carlsen, Christian Skau ...

Series series Springer Nature Proceedings excluding Computer Science
Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject.The field of operator ... Read more

$1,747.29 HKD

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject.The field of operator
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The Rademacher System in Function Spaces

by Sergey V. Astashkin ...

Series series Mathematics and Statistics (R0)
This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system ... Read more

$1,253.99 HKD

This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system
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Convolution-like Structures, Differential Operators and Diffusion Processes

by Rúben Sousa, Manuel Guerra, Semyon Yakubovich ...

Series series Mathematics and Statistics (R0)
This book provides an introduction to recent developments in the theory of generalized harmonic analysis and its applications. It is well known that convolutions, differential operators and diffusion processes are interconnected: the ordinary convolution commutes with the Laplacian, and the law of Brownian motion has a convolution semigroup property with respect to the ordinary convolution. ... Read more

$501.59 HKD

This book provides an introduction to recent developments in the theory of generalized harmonic analysis and its applications. It is well known that convolutions, differential operators and diffusion processes are interconnected: the ordinary convolution commutes with the Laplacian, and the law of Brownian motion has a convolution semigroup property with respect to the ordinary convolution.
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Opticks: Full and Fine Text of 1704 Edition (Illustrated and Bundled with Life of Isaac Newton)

by Isaac Newton ...

The book has an active table of contents for readers to access each chapter of the following titles:OPTICKS OR, A TREATISE OF THE REFLECTIONS, REFRACTIONS, INFLECTIONS AND COLOURSOF LIGHT – ISAAC NEWTONLIFE OF SIR ISAAC NEWTON - N. W. CHITTENDENThe key contribution of Newton to the modern science and engineering was the books OPTICS and THE MATHEMATICAL PRINCIPLES OF NATURAL PHILOSOPHY.Opticks was ... Read more

$8.29 HKD

The book has an active table of contents for readers to access each chapter of the following titles:OPTICKS OR, A TREATISE OF THE REFLECTIONS, REFRACTIONS, INFLECTIONS AND COLOURSOF LIGHT – ISAAC NEWTONLIFE OF SIR ISAAC NEWTON - N. W. CHITTENDENThe key contribution of Newton to the modern science and engineering was the books OPTICS and THE MATHEMATICAL PRINCIPLES OF NATURAL PHILOSOPHY.Opticks was
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Positive Definite Matrices

by Rajendra Bhatia ...

Series series Princeton Series in Applied Mathematics
This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, ... Read more

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This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis,
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Continuous Versions of Some Classical Inequalities

by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec ...

Series series Mathematics and Statistics (R0)
This book presents the new fascinating area of continuous inequalities. It was recently discovered that several of the classical inequalities can be generalized and given in a more general continuous/family form. The book states, proves and discusses a number of classical inequalities in such continuous/family forms. Moreover, since many of the classical inequalities hold also in a refined form, ... Read more

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This book presents the new fascinating area of continuous inequalities. It was recently discovered that several of the classical inequalities can be generalized and given in a more general continuous/family form. The book states, proves and discusses a number of classical inequalities in such continuous/family forms. Moreover, since many of the classical inequalities hold also in a refined form,
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Real Analysis: Theory Of Measure And Integration (3rd Edition)

by James J Yeh ...

This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem ... Read more

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This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem
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Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2017-2019 Volume I

Edited by 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 ... Read more

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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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Lectures on Convex Geometry

by Daniel Hug, Wolfgang Weil ...

Series series Mathematics and Statistics (R0)
This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection ... Read more

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This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection
... Read more
Pseudodifferential Operators and Wavelets over Real and p-adic Fields

by Nguyen Minh Chuong ...

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields.Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs) ... Read more

$919.59 HKD

This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields.Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs)
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Topological Quantum Field Theories from Subfactors

by 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 ... Read more

$578.44 HKD

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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A Primer on Hilbert Space Theory

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

by Carlo Alabiso, Ittay Weiss ...

Series series Physics and Astronomy (R0)
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 ... Read more

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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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Modular Forms and Related Topics in Number Theory

Kozhikode, India, December 10–14, 2018

Edited by B. Ramakrishnan, Bernhard Heim, Brundaban Sahu ...

Series series Springer Nature Proceedings excluding Computer Science
This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10–14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate their current research works. This book benefits young research scholars, postdoctoral fellows, and ... Read more

$752.39 HKD

This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10–14, 2018. The conference aimed at bringing the active number theorists and researchers in automorphic forms and allied areas to demonstrate their current research works. This book benefits young research scholars, postdoctoral fellows, and
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Inverse Problems and Applications

Edited by Larisa Beilina ...

Series series Springer Nature Proceedings excluding Computer Science
This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods. The book highlights recent research focusing on reliable numerical techniques ... Read more

$752.39 HKD

This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods. The book highlights recent research focusing on reliable numerical techniques
... Read more
Applied Analysis in Biological and Physical Sciences

ICMBAA, Aligarh, India, June 2015

Edited by Jim M. Cushing, M. Saleem, H. M. Srivastava, Mumtaz Ahmad Khan, M. Merajuddin ...

Series series Springer Nature Proceedings excluding Computer Science
The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities, ... Read more

$1,170.39 HKD

The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities,
... Read more
A Journey Through Ergodic Theorems

by Tanja Eisner, Bálint Farkas ...

Series series Mathematics and Statistics (R0)
The purpose of this book is to provide an invitation to the beautiful and important subject of ergodic theorems, both classical and modern, which lies at the intersection of many fundamental mathematical disciplines: dynamical systems, probability theory, topology, algebra, number theory, analysis and functional analysis. The book is suitable for undergraduate and graduate students as well as non ... Read more

$626.99 HKD

The purpose of this book is to provide an invitation to the beautiful and important subject of ergodic theorems, both classical and modern, which lies at the intersection of many fundamental mathematical disciplines: dynamical systems, probability theory, topology, algebra, number theory, analysis and functional analysis. The book is suitable for undergraduate and graduate students as well as non
... Read more
Lectures on Analytic Function Spaces and their Applications

Edited by Javad Mashreghi ...

Series series Mathematics and Statistics (R0)
The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics ... Read more

$1,253.99 HKD

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics
... Read more

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Recommended For You

Functional Analysis eBooks

Functional Analysis

Fourier Analysis

Real Analysis

Qualitative Properties of Dispersive PDEs

A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

Landscapes of Time-Frequency Analysis

Selected Topics on Generalized Integration

Operator Algebras and Applications

The Rademacher System in Function Spaces

Convolution-like Structures, Differential Operators and Diffusion Processes

Opticks: Full and Fine Text of 1704 Edition (Illustrated and Bundled with Life of Isaac Newton)

Positive Definite Matrices

Continuous Versions of Some Classical Inequalities

Real Analysis: Theory Of Measure And Integration (3rd Edition)

Geometric Aspects of Functional Analysis

Lectures on Convex Geometry

Pseudodifferential Operators and Wavelets over Real and p-adic Fields

Topological Quantum Field Theories from Subfactors

A Primer on Hilbert Space Theory

Modular Forms and Related Topics in Number Theory

Inverse Problems and Applications

Applied Analysis in Biological and Physical Sciences

A Journey Through Ergodic Theorems

Lectures on Analytic Function Spaces and their Applications