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Recommended For You

Introduction To Analysis With Complex Numbers

by Irena Swanson ...

This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs ... Read more

RM 190.59

This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs
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Systems with Persistent Memory

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by Luciano Pandolfi ...

Series series Mathematics and Statistics (R0)
This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology.The book focuses on the properties and controllability of the archetypal ... Read more

RM 503.09

This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology.The book focuses on the properties and controllability of the archetypal
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Fundamental Solutions of Linear Partial Differential Operators

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by Norbert Ortner, Peter Wagner ...

This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of ... Read more

RM 293.49

This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of
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Functions of Omega-Bounded Type

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by Armen M. Jerbashian, Joel E. Restrepo ...

Series series Mathematics and Statistics (R0)
The book gives the basic results of the theory of the spaces Apω of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ω permitting any rate of growth of a function near the boundary of the domain. This continues and essentially improves M.M. Djrbashian's theory of spaces Apα (1945) of functions holomorphic in the unit disc, the ... Read more

RM 230.59

The book gives the basic results of the theory of the spaces Apω of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ω permitting any rate of growth of a function near the boundary of the domain. This continues and essentially improves M.M. Djrbashian's theory of spaces Apα (1945) of functions holomorphic in the unit disc, the
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Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

A Volume in Honor of V.E. Katsnelson

Edited by Daniel Alpay, Bernd Fritzsche, Bernd Kirstein ...

Series series Mathematics and Statistics (R0)
This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing ... Read more

RM 628.89

This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing
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A First Course in Statistics for Signal Analysis

by Wojbor A. Woyczyński ...

Series series Statistics for Industry, Technology, and Engineering
This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, explained in a concise, yet fairly ... Read more

RM 293.49

This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, explained in a concise, yet fairly
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Mathematical Analysis I: Approximation Theory

ICRAPAM 2018, New Delhi, India, October 23–25

Edited by Naokant Deo, Vijay Gupta, Ana Maria Acu, P. N. Agrawal ...

Series series Springer Nature Proceedings excluding Computer Science
This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23–25 October 2018. Divided into two volumes, it discusses major topics in mathematical analysis and its applications, and demonstrates the versatility and inherent beauty of ... Read more

RM 377.29

This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23–25 October 2018. Divided into two volumes, it discusses major topics in mathematical analysis and its applications, and demonstrates the versatility and inherent beauty of
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Lecture Notes On Calculus Of Variations

by Kung-ching Chang, Tan Zhang ...

Series Book 6 - Peking University Series In Mathematics
This is based on the course 'Calculus of Variations' taught at Peking University from 2006 to 2010 for advanced undergraduate to graduate students majoring in mathematics. The book contains 20 lectures covering both the theoretical background material as well as an abundant collection of applications. Lectures 1-8 focus on the classical theory of calculus of variations. Lectures 9-14 introduce ... Read more

RM 190.59

This is based on the course 'Calculus of Variations' taught at Peking University from 2006 to 2010 for advanced undergraduate to graduate students majoring in mathematics. The book contains 20 lectures covering both the theoretical background material as well as an abundant collection of applications. Lectures 1-8 focus on the classical theory of calculus of variations. Lectures 9-14 introduce
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Theory of Hypergeometric Functions

by Kazuhiko Aomoto, Michitake Kita, Toshitake Kohno ...

Translated by Kenji Iohara ...

Series series Mathematics and Statistics (R0)
This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown that hypergeometric integrals generally ... Read more

RM 377.29

This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown that hypergeometric integrals generally
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Introduction to the Basics of Real Analysis

by Harendra Singh, H M Srivastava ...

This book presents an introduction to the key topics in Real Analysis and makes the subject easily understood by the learners. The book is primarily useful for students of mathematics and engineering studying the subject of Real Analysis. It includes many examples and exercises at the end of chapters. This book is very authentic for students, instructors, as well as those doing research in areas ... Read more

RM 151.79

This book presents an introduction to the key topics in Real Analysis and makes the subject easily understood by the learners. The book is primarily useful for students of mathematics and engineering studying the subject of Real Analysis. It includes many examples and exercises at the end of chapters. This book is very authentic for students, instructors, as well as those doing research in areas
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L² Approaches in Several Complex Variables

Towards the Oka–Cartan Theory with Precise Bounds

by Takeo Ohsawa ...

Series series Mathematics and Statistics (R0)
This monograph presents the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Special emphasis is put on the new precise results on the L² extension of holomorphic functions in the past 5 years.In Chapter 1, the classical questions of several complex variables motivating the ... Read more

RM 461.19

This monograph presents the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Special emphasis is put on the new precise results on the L² extension of holomorphic functions in the past 5 years.In Chapter 1, the classical questions of several complex variables motivating the
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Introduction To Second Order Partial Differential Equations, An: Classical And Variational Solutions

by Doina Cioranescu, Patrizia Donato, Marian P Roque ...

The book extensively introduces classical and variational partial differential equations (PDEs) to graduate and post-graduate students in Mathematics. The topics, even the most delicate, are presented in a detailed way. The book consists of two parts which focus on second order linear PDEs. Part I gives an overview of classical PDEs, that is, equations which admit strong solutions, verifying the ... Read more

RM 115.49

The book extensively introduces classical and variational partial differential equations (PDEs) to graduate and post-graduate students in Mathematics. The topics, even the most delicate, are presented in a detailed way. The book consists of two parts which focus on second order linear PDEs. Part I gives an overview of classical PDEs, that is, equations which admit strong solutions, verifying the
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Ritt Operators and Their Functional Calculus

by Christian Le Merdy ...

Series series Mathematics and Statistics (R0)
This book is about Ritt operators on Banach spaces, with important developments concerning their functional calculus, square functions, and dilation properties. Ritt operators and their functional calculus have natural connections with various topics such as semigroups and sectorial operators. However, in this monograph, Ritt operators are considered on their own right. A special emphasis is given ... Read more

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This book is about Ritt operators on Banach spaces, with important developments concerning their functional calculus, square functions, and dilation properties. Ritt operators and their functional calculus have natural connections with various topics such as semigroups and sectorial operators. However, in this monograph, Ritt operators are considered on their own right. A special emphasis is given
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Asymptotic Methods in Equations of Mathematical Physics

by B Vainberg ...

This book provides a single source for both students and advanced researchers on asymptotic methods employed in the linear problems of mathematical physics. It opens with a section based on material from special courses given by the author, which gives detailed coverage of classical material on the equations of mathematical physics and their applications, and includes a simple explanation of the ... Read more

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This book provides a single source for both students and advanced researchers on asymptotic methods employed in the linear problems of mathematical physics. It opens with a section based on material from special courses given by the author, which gives detailed coverage of classical material on the equations of mathematical physics and their applications, and includes a simple explanation of the
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Theory of Henstock–Orlicz Spaces

by Bipan Hazarika, Hemanta Kalita ...

Series series Mathematics and Statistics (R0)
This book presents a systematic treatment of Henstock–Orlicz (or H-Orlicz) spaces with minimal assumptions on the Young function. H-Orlicz spaces contain non-absolute integrable functions called Henstock–Kurzweil integrable functions. Results from classical functional analysis are presented in detail, and new material is included on classical analysis. Extrapolation is used to prove, for example, ... Read more

RM 419.29

This book presents a systematic treatment of Henstock–Orlicz (or H-Orlicz) spaces with minimal assumptions on the Young function. H-Orlicz spaces contain non-absolute integrable functions called Henstock–Kurzweil integrable functions. Results from classical functional analysis are presented in detail, and new material is included on classical analysis. Extrapolation is used to prove, for example,
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Orthogonal Polynomials and Painlevé Equations

by Walter Van Assche ...

Series Book 27 - Australian Mathematical Society Lecture Series
There are a number of intriguing connections between Painlevé equations and orthogonal polynomials, and this book is one of the first to provide an introduction to these. Researchers in integrable systems and non-linear equations will find the many explicit examples where Painlevé equations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal ... Read more

RM 170.39

There are a number of intriguing connections between Painlevé equations and orthogonal polynomials, and this book is one of the first to provide an introduction to these. Researchers in integrable systems and non-linear equations will find the many explicit examples where Painlevé equations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal
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Hardy Operators on Euclidean Spaces and Related Topics

by Shanzhen Lu, Zunwei Fu, Fayou Zhao, Shaoguang Shi ...

Series Book 11 - Series on Analysis, Applications and Computation
In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy ... Read more

RM 218.79

In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy
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Operator Algebra and Dynamics

Nordforsk Network Closing Conference, Faroe Islands, May 2012

Edited by Toke M. Carlsen, Søren Eilers, Gunnar Restorff, Sergei Silvestrov ...

Series series Springer Nature Proceedings excluding Computer Science
Based on presentations given at the NordForsk Network Closing Conference “Operator Algebra and Dynamics,” held in Gjáargarður, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with ... Read more

RM 712.69

Based on presentations given at the NordForsk Network Closing Conference “Operator Algebra and Dynamics,” held in Gjáargarður, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with
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Louis Boutet de Monvel, Selected Works

Edited by Victor W. Guillemin, Johannes Sjöstrand ...

Series series Mathematics and Statistics (R0)
This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis. The works selected here reveal his central role in the development of his field, including three cornerstones: firstly, analytic pseudodifferential operators, which have become a fundamental aspect of analytic microlocal analysis, and ... Read more

RM 670.79

This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis. The works selected here reveal his central role in the development of his field, including three cornerstones: firstly, analytic pseudodifferential operators, which have become a fundamental aspect of analytic microlocal analysis, and
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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

RM 503.09

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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Theory of Reproducing Kernels and Applications

by Saburou Saitoh, Yoshihiro Sawano ...

Series series Mathematics and Statistics (R0)
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among ... Read more

RM 544.99

This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among
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A Friendly Approach to Complex Analysis

by Sara Maad Sasane, Amol Sasane ...

The book constitutes a basic, concise, yet rigorous first course in complex analysis, for undergraduate students who have studied multivariable calculus and linear algebra. The textbook should be particularly useful for students of joint programmes with mathematics, as well as engineering students seeking rigour. The aim of the book is to cover the bare bones of the subject with minimal ... Read more

RM 134.09

The book constitutes a basic, concise, yet rigorous first course in complex analysis, for undergraduate students who have studied multivariable calculus and linear algebra. The textbook should be particularly useful for students of joint programmes with mathematics, as well as engineering students seeking rigour. The aim of the book is to cover the bare bones of the subject with minimal
... Read more
Spectral Analysis of Infinite-Dimensional Hamiltonian Operators

by Alatancang Chen, Deyu Wu, Junjie Huang, Guolin Hou ...

Series series Mathematics and Statistics (R0)
This book provides a systematic summary and condensation of research on infinite-dimensional Hamiltonian operator spectrum theory over the past thirty years, and offers simple and concise proofs for some new achievements.The book first introduces Hamiltonian systems, both finite-dimensional and infinite-dimensional, laying the foundation for the subsequent introduction of infinite-dimensional ... Read more

RM 628.89

This book provides a systematic summary and condensation of research on infinite-dimensional Hamiltonian operator spectrum theory over the past thirty years, and offers simple and concise proofs for some new achievements.The book first introduces Hamiltonian systems, both finite-dimensional and infinite-dimensional, laying the foundation for the subsequent introduction of infinite-dimensional
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Banach Algebras of Ultrametric Functions

by Alain Escassut ...

This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to ... Read more

RM 331.69

This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to
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Recommended For You

Functional Analysis eBooks

Introduction To Analysis With Complex Numbers

Systems with Persistent Memory

Fundamental Solutions of Linear Partial Differential Operators

Functions of Omega-Bounded Type

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

A First Course in Statistics for Signal Analysis

Mathematical Analysis I: Approximation Theory

Lecture Notes On Calculus Of Variations

Theory of Hypergeometric Functions

Introduction to the Basics of Real Analysis

L² Approaches in Several Complex Variables

Introduction To Second Order Partial Differential Equations, An: Classical And Variational Solutions

Ritt Operators and Their Functional Calculus

Asymptotic Methods in Equations of Mathematical Physics

Theory of Henstock–Orlicz Spaces

Orthogonal Polynomials and Painlevé Equations

Hardy Operators on Euclidean Spaces and Related Topics

Operator Algebra and Dynamics

Louis Boutet de Monvel, Selected Works

Brouwer Degree

Theory of Reproducing Kernels and Applications

A Friendly Approach to Complex Analysis

Spectral Analysis of Infinite-Dimensional Hamiltonian Operators

Banach Algebras of Ultrametric Functions