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Dirichlet Forms and Related Topics

In Honor of Masatoshi Fukushima’s Beiju, IWDFRT 2022, Osaka, Japan, August 22–26

Edited by Zhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura ...

Series series Springer Nature Proceedings excluding Computer Science
This conference proceeding contains 27 peer-reviewed invited papers from leading experts as well as young researchers all over the world in the related fields that Professor Fukushima has made important contributions to.These 27 papers cover a wide range of topics in probability theory, ranging from Dirichlet form theory, Markov processes, heat kernel estimates, entropy on Wiener spaces, analysis ... Read more

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This conference proceeding contains 27 peer-reviewed invited papers from leading experts as well as young researchers all over the world in the related fields that Professor Fukushima has made important contributions to.These 27 papers cover a wide range of topics in probability theory, ranging from Dirichlet form theory, Markov processes, heat kernel estimates, entropy on Wiener spaces, analysis
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The theoretical assumptions of the following mathematical topics are presented in this book:vectors and vector calculusmatrices and matrix calculusvector and matrix spacesmathematics and tensor calculus
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Generalized Calculus with Applications to Matter and Forces

by Luis Manuel Braga de Costa Campos ...

Series series Mathematics and Physics for Science and Technology
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Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to genera
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Os Acidentes Aéreos No Brasil

by O Historiador ...

Quando escrevi este livro em 2020 eu tinha 51 anos, de maneira que os grandes acidentes aéreos especialmente de voos comerciais eu acompanhei os noticiários dia-a-dia. Os acidentes que aqui vou descrever os eventos foram em boa parte ocorridos na minha geração. Estudar e conhecer os fatores que desencadearam os acidentes aéreos e suas tragédias são de grande utilidade como ferramenta para ... Read more

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Quando escrevi este livro em 2020 eu tinha 51 anos, de maneira que os grandes acidentes aéreos especialmente de voos comerciais eu acompanhei os noticiários dia-a-dia. Os acidentes que aqui vou descrever os eventos foram em boa parte ocorridos na minha geração. Estudar e conhecer os fatores que desencadearam os acidentes aéreos e suas tragédias são de grande utilidade como ferramenta para
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Pluripotential Theory

Cetraro, Italy 2011, Editors: Filippo Bracci, John Erik Fornæss

by Giorgio Patrizio, Zbigniew Błocki, Francois Berteloot, Jean Pierre Demailly, Filippo Bracci, John Erik Fornæss ...

Series series Mathematics and Statistics (R0)
Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Ampére equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions ... Read more

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Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Ampére equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions
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Recent Advances in Approximation and Potential Theory

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Series series Mathematics and Statistics (R0)
Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements. ... Read more

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Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
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Potential Theory on Sierpiński Carpets

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by Dimitrios Ntalampekos ...

Series series Mathematics and Statistics (R0)
This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs ... Read more

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This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs
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Elements of Linear Algebra

by P.M. Cohn ...

Series series Chapman Hall/CRC Mathematics Series
This volume presents a thorough discussion of systems of linear equations and their solutions. Vectors and matrices are introduced as required and an account of determinants is given. Great emphasis has been placed on keeping the presentation as simple as possible, with many illustrative examples. While all mathematical assertions are proved, the student is led to view the mathematical content ... Read more

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This volume presents a thorough discussion of systems of linear equations and their solutions. Vectors and matrices are introduced as required and an account of determinants is given. Great emphasis has been placed on keeping the presentation as simple as possible, with many illustrative examples. While all mathematical assertions are proved, the student is led to view the mathematical content
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Tensors, Differential Forms, and Variational Principles

by David Lovelock, Hanno Rund ...

Series series Dover Books on Mathematics
The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound ... Read more

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The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound
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Introduction to Vector and Tensor Analysis

by Robert C. Wrede ...

Series series Dover Books on Mathematics
This broad introduction to vector and tensor analysis is designed for the advanced undergraduate or graduate student in mathematics, physics, and engineering as well as for the practicing engineer or physicist who needs a theoretical understanding of these essential mathematical tools. In recent years, the vector approach has found its way even into writings on aspects of biology, economics, and ... Read more

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This broad introduction to vector and tensor analysis is designed for the advanced undergraduate or graduate student in mathematics, physics, and engineering as well as for the practicing engineer or physicist who needs a theoretical understanding of these essential mathematical tools. In recent years, the vector approach has found its way even into writings on aspects of biology, economics, and
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The Absolute Differential Calculus (Calculus of Tensors)

by Tullio Levi-Civita ...

Series series Dover Books on Mathematics
Written by a towering figure of twentieth-century mathematics, this classic examines the mathematical background necessary for a grasp of relativity theory. Tullio Levi-Civita provides a thorough treatment of the introductory theories that form the basis for discussions of fundamental quadratic forms and absolute differential calculus, and he further explores physical applications.Part one opens ... Read more

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Written by a towering figure of twentieth-century mathematics, this classic examines the mathematical background necessary for a grasp of relativity theory. Tullio Levi-Civita provides a thorough treatment of the introductory theories that form the basis for discussions of fundamental quadratic forms and absolute differential calculus, and he further explores physical applications.Part one opens
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Tensors For Inquiring Minds

by Yury Deshko ...

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Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an extension to the existing theory of Integer Partitions. The book is suitable for graduate students in physics, applied mathematics, number theory and computational mathematics. It takes the reader up to
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Conformally Invariant Metrics and Quasiconformal Mappings

by Parisa Hariri, Riku Klén, Matti Vuorinen ...

Series series Mathematics and Statistics (R0)
This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership ... Read more

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This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership
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Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements

by Ilwoo Cho ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the C∗-probability spaces.FeaturesSuitable for graduate students and professional ... Read more

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Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements introduces new areas in operator theory and operator algebra, in connection with free probability theory. In particular, the book considers projections and partial isometries distorting original free-distributional data on the C∗-probability spaces.FeaturesSuitable for graduate students and professional
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Introducción a vectores, matrices y tensores

by Simone Malacrida ...

En este libro se presentan los supuestos teóricos de los siguientes temas matemáticos:vectores y cálculo vectorialmatrices y cálculo matricialespacios vectoriales y matricialesmatemáticas y cálculo tensorial ... Read more

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En este libro se presentan los supuestos teóricos de los siguientes temas matemáticos:vectores y cálculo vectorialmatrices y cálculo matricialespacios vectoriales y matricialesmatemáticas y cálculo tensorial
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Plane Geometry (The Illustrated Classic)

by George Wentworth ...

Plane Geometry By George Wentworth Contains Over 600 Exercises !!! Most persons do not possess, and do not easily acquire, the power of abstraction requisite for apprehending geometrical conceptions, and for keeping in mind the successive steps of a continuous argument. Hence, with a very large proportion of beginners in Geometry, it depends mainly upon the form in which the subject is presented ... Read more

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Plane Geometry By George Wentworth Contains Over 600 Exercises !!! Most persons do not possess, and do not easily acquire, the power of abstraction requisite for apprehending geometrical conceptions, and for keeping in mind the successive steps of a continuous argument. Hence, with a very large proportion of beginners in Geometry, it depends mainly upon the form in which the subject is presented
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The E. M. Stein Lectures on Hardy Spaces

by Steven G. Krantz ...

Series series Mathematics and Statistics (R0)
The book The E. M. Stein Lectures on Hardy Spaces is based on a graduate course on real variable Hardy spaces which was given by E.M. Stein at Princeton University in the academic year 1973-1974. Stein, along with C. Fefferman and G. Weiss, pioneered this subject area, removing the theory of Hardy spaces from its traditional dependence on complex variables, and to reveal its real-variable ... Read more

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The book The E. M. Stein Lectures on Hardy Spaces is based on a graduate course on real variable Hardy spaces which was given by E.M. Stein at Princeton University in the academic year 1973-1974. Stein, along with C. Fefferman and G. Weiss, pioneered this subject area, removing the theory of Hardy spaces from its traditional dependence on complex variables, and to reveal its real-variable
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Fundamentals of Linear Algebra

by J.S. Chahal ...

Series series Textbooks in Mathematics
Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book ... Read more

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Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book
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Tensor Analysis on Manifolds

by Richard L. Bishop, Samuel I. Goldberg ...

Series series Dover Books on Mathematics
"This is a first-rate book and deserves to be widely read." — American Mathematical MonthlyDespite its success as a mathematical tool in the general theory of relativity and its adaptability to a wide range of mathematical and physical problems, tensor analysis has always had a rather restricted level of use, with an emphasis on notation and the manipulation of indices. This book is an attempt to ... Read more

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"This is a first-rate book and deserves to be widely read." — American Mathematical MonthlyDespite its success as a mathematical tool in the general theory of relativity and its adaptability to a wide range of mathematical and physical problems, tensor analysis has always had a rather restricted level of use, with an emphasis on notation and the manipulation of indices. This book is an attempt to
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Engineering Mathematics with MATLAB

by Chul Ki Song, Jong-Ryeol Kim ...

This textbook takes a streamlined, practical approach, designed to make engineering mathematics accessible and manageable for undergraduate students and instructors alike. Students will gain a fundamental understanding within the scope of a two-semester course.This textbook introduces students to the fundamental principles of engineering mathematics through concise explanations, systematically ... Read more

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This textbook takes a streamlined, practical approach, designed to make engineering mathematics accessible and manageable for undergraduate students and instructors alike. Students will gain a fundamental understanding within the scope of a two-semester course.This textbook introduces students to the fundamental principles of engineering mathematics through concise explanations, systematically
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Inequalities and Integral Operators in Function Spaces

by Erlan Nursultanov ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools.Classical inequalities such as Hardy’s inequality, Remez’s inequality, the Bernstein-Nikolsky inequality, the Hardy-Littlewood-Sobolev inequality for the Riesz transform, the Hardy-Littlewood inequality for Fourier transforms ... Read more

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The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools.Classical inequalities such as Hardy’s inequality, Remez’s inequality, the Bernstein-Nikolsky inequality, the Hardy-Littlewood-Sobolev inequality for the Riesz transform, the Hardy-Littlewood inequality for Fourier transforms
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Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

by Vesna Todorčević ...

The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar ... Read more

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The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar
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Calculus in Vector Spaces, Revised Expanded

by Lawrence Corwin ...

Series series Chapman & Hall/CRC Pure and Applied Mathematics
Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for ... Read more

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Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for
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Recommended For You

Vector Analysis eBooks

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Introduction to Vectors, Matrices and Tensors

Generalized Calculus with Applications to Matter and Forces

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Potential Theory on Sierpiński Carpets

Elements of Linear Algebra

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Introduction to Vector and Tensor Analysis

The Absolute Differential Calculus (Calculus of Tensors)

Tensors For Inquiring Minds

Vector Partitions, Visible Points and Ramanujan Functions

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