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Vector

A Surprising Story of Space, Time, and Mathematical Transformation

by Robyn Arianrhod ...

A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions—sparking both controversy and discovery.The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word “vector” might remind you of the mathematics needed to determine forces on an amusement park ride, a turbine, or a projectile. You might also ... Read more

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A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions—sparking both controversy and discovery.The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word “vector” might remind you of the mathematics needed to determine forces on an amusement park ride, a turbine, or a projectile. You might also
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Classical Fine Potential Theory

by Mohamed El Kadiri, Bent Fuglede ...

Series series Mathematics and Statistics (R0)
This comprehensive book explores the intricate realm of fine potential theory. Delving into the real theory, it navigates through harmonic and subharmonic functions, addressing the famed Dirichlet problem within finely open sets of R^n. These sets are defined relative to the coarsest topology on R^n, ensuring the continuity of all subharmonic functions. This theory underwent extensive scrutiny ... Read more

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This comprehensive book explores the intricate realm of fine potential theory. Delving into the real theory, it navigates through harmonic and subharmonic functions, addressing the famed Dirichlet problem within finely open sets of R^n. These sets are defined relative to the coarsest topology on R^n, ensuring the continuity of all subharmonic functions. This theory underwent extensive scrutiny
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Special Topics In Electromagnetics

by Kun-mu Chen ...

A primary resource for graduate teaching and research in advanced electromagnetic materials, Special Topics in Electromagnetics covers some new methods for treating the interaction of electromagnetic field with materials, as well as biological applications and radar identification using electromagnetic waves. This book supplements its content with detailed mathematical derivation and covers some ... Read more

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A primary resource for graduate teaching and research in advanced electromagnetic materials, Special Topics in Electromagnetics covers some new methods for treating the interaction of electromagnetic field with materials, as well as biological applications and radar identification using electromagnetic waves. This book supplements its content with detailed mathematical derivation and covers some
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Matrici Vettori con applicazioni all'architettura

by Antonio Galli ...

MATRICI VETTORI CON APPLICAZIONI ALL'ARCHITETTURA ... Read more

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MATRICI VETTORI CON APPLICAZIONI ALL'ARCHITETTURA
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An Elastic Model for Volcanology

by Andrea Aspri ...

Series series Lecture Notes in Geosystems Mathematics and Computing
This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth’s interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now, ... Read more

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This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth’s interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now,
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A Course on Tug-of-War Games with Random Noise

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by Marta Lewicka ...

Series series Mathematics and Statistics (R0)
This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise.The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book ... Read more

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This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise.The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book
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Topics in Clifford Analysis

Special Volume in Honor of Wolfgang Sprößig

Edited by Swanhild Bernstein ...

Series series Mathematics and Statistics (R0)
Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford analysis has become a broad-based theory with a variety of applications both inside and outside of mathematics, such ... Read more

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Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford analysis has become a broad-based theory with a variety of applications both inside and outside of mathematics, such
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Research Problems in Function Theory

Fiftieth Anniversary Edition

by Walter K. Hayman, Eleanor F. Lingham ...

Series series Mathematics and Statistics (R0)
In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on progress in solving existing problems, and over 520 research problems from mathematicians worldwide. It became known as ‘Hayman's List’.This Fiftieth ... Read more

S$ 175.70 SGD

In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on progress in solving existing problems, and over 520 research problems from mathematicians worldwide. It became known as ‘Hayman's List’.This Fiftieth
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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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Functions of Omega-Bounded Type

Basic Theory

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

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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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Introduction to Vectorial and Matricial Calculus

by Simone Malacrida ...

The theoretical assumptions of the following mathematical topics are presented in this book:vectors and vector calculusmatrices and matrix calculusEach topic is treated by emphasizing practical applications and solving some significant exercises. ... Read more

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The theoretical assumptions of the following mathematical topics are presented in this book:vectors and vector calculusmatrices and matrix calculusEach topic is treated by emphasizing practical applications and solving some significant exercises.
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Classical Newtonian Gravity

A Comprehensive Introduction, with Examples and Exercises

by Roberto A. Capuzzo Dolcetta ...

Series series Physics and Astronomy (R0)
This textbook offers a readily comprehensible introduction to classical Newtonian gravitation, which is fundamental for an understanding of classical mechanics and is particularly relevant to Astrophysics. The opening chapter recalls essential elements of vectorial calculus, especially to provide the formalism used in subsequent chapters. In chapter two Classical Newtonian gravity theory for one ... Read more

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This textbook offers a readily comprehensible introduction to classical Newtonian gravitation, which is fundamental for an understanding of classical mechanics and is particularly relevant to Astrophysics. The opening chapter recalls essential elements of vectorial calculus, especially to provide the formalism used in subsequent chapters. In chapter two Classical Newtonian gravity theory for one
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Geometric Methods in PDE’s

Edited by Giovanna Citti, Maria Manfredini, Daniele Morbidelli, Sergio Polidoro, Francesco Uguzzoni ...

Series series Springer Nature Proceedings excluding Computer Science
The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading experts ... Read more

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The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading experts
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Free Random Variables

Free Distributions Dictated by the Semicircular Law

by Ilwoo Cho ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Free Random Variables: Free Distributions Dictated by the Semicircular Law is particularly concerned with operators which are not self-adjoint, but whose free distributions are dictated by the semicircular law. The book covers operator-theoretic properties and free-distributional data of such operators and investigates operator-algebraic structures induced by those operators.FeaturesIncludes ... Read more

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Free Random Variables: Free Distributions Dictated by the Semicircular Law is particularly concerned with operators which are not self-adjoint, but whose free distributions are dictated by the semicircular law. The book covers operator-theoretic properties and free-distributional data of such operators and investigates operator-algebraic structures induced by those operators.FeaturesIncludes
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Einführung in Vektoren, Matrizen und Tensoren

by Simone Malacrida ...

Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt:Vektoren und VektorrechnungMatrizen und MatrizenrechnungVektor- und MatrixräumeMathematik und Tensorrechnung ... Read more

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Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt:Vektoren und VektorrechnungMatrizen und MatrizenrechnungVektor- und MatrixräumeMathematik und Tensorrechnung
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Ejercicios de Vectores y Espacios Vectoriales

by Simone Malacrida ...

En este libro se realizan ejercicios sobre los siguientes temas matemáticos:vectores y operaciones vectorialesespacios vectorialesBases canónicas, ortogonales y ortonormales.También se presentan indicaciones teóricas iniciales para que se entienda la realización de los ejercicios. ... Read more

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En este libro se realizan ejercicios sobre los siguientes temas matemáticos:vectores y operaciones vectorialesespacios vectorialesBases canónicas, ortogonales y ortonormales.También se presentan indicaciones teóricas iniciales para que se entienda la realización de los ejercicios.
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Vector and Tensor Analysis with Applications

by A. I. Borisenko, I. E. Tarapov ...

Translated by Richard A. Silverman ...

Series series Dover Books on Mathematics
" … the exposition is clear and the choice of topics is excellent …" Prof. R. E. Williamson, Univ. of Sussex, Brighton, EnglandThis concise introduction to a basic branch of applied mathematics is indispensable to mathematicians, physicists and engineers. Eminently readable, it covers the elements of vector and tensor analysis, with applications of the theory to specific physics and engineering ... Read more

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" … the exposition is clear and the choice of topics is excellent …" Prof. R. E. Williamson, Univ. of Sussex, Brighton, EnglandThis concise introduction to a basic branch of applied mathematics is indispensable to mathematicians, physicists and engineers. Eminently readable, it covers the elements of vector and tensor analysis, with applications of the theory to specific physics and engineering
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Near Vector Spaces and Related Topics

by Hsien-Chung Wu ...

Near Vector Spaces and Related Topics provides a systematic treatment of the introductory theory of near vector spaces, as well as a range of associated areas.Since many topics in nonlinear analysis rely on the properties established in topological vector space, the concepts and topics presented in this book may stir up the interest of some researchers working in mathematical analysis, especially ... Read more

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Near Vector Spaces and Related Topics provides a systematic treatment of the introductory theory of near vector spaces, as well as a range of associated areas.Since many topics in nonlinear analysis rely on the properties established in topological vector space, the concepts and topics presented in this book may stir up the interest of some researchers working in mathematical analysis, especially
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Fixed Point Theory in p-Vector Spaces

by George Xianzhi Yuan ...

This monograph provides an updated development of fixed point theory under a unified framework of the 'best approximation approach' in p-vector spaces, a core component of nonlinear analysis in mathematics, where p∊(0,1] (the same for p below unless specified). This book exposes some important contents of the new fixed point theory, with highlights in four parts.Specifically, the book focuses on ... Read more

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This monograph provides an updated development of fixed point theory under a unified framework of the 'best approximation approach' in p-vector spaces, a core component of nonlinear analysis in mathematics, where p∊(0,1] (the same for p below unless specified). This book exposes some important contents of the new fixed point theory, with highlights in four parts.Specifically, the book focuses on
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Reshetnyak's Theory of Subharmonic Metrics

Edited by François Fillastre, Dmitriy Slutskiy ...

Series series Mathematics and Statistics (R0)
Despite the fundamental role played by Reshetnyak's work in the theory of surfaces of bounded integral curvature, the proofs of his results were only available in his original articles, written in Russian and often hard to find. This situation used to be a serious problem for experts in the field. This book provides English translations of the full set of Reshetnyak's articles on the subject. ... Read more

S$ 190.52 SGD

Despite the fundamental role played by Reshetnyak's work in the theory of surfaces of bounded integral curvature, the proofs of his results were only available in his original articles, written in Russian and often hard to find. This situation used to be a serious problem for experts in the field. This book provides English translations of the full set of Reshetnyak's articles on the subject.
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Matematica: calcolo vettoriale e matriciale

by Simone Malacrida ...

In questo libro sono presentati i presupposti teorici dei seguenti argomenti matematici: vettori e calcolo vettorialematrici e calcolo matricialeOgni argomento è trattato mettendo in risalto le applicazioni pratiche e risolvendo alcuni esercizi significativi ... Read more

S$ 4.49 SGD

In questo libro sono presentati i presupposti teorici dei seguenti argomenti matematici: vettori e calcolo vettorialematrici e calcolo matricialeOgni argomento è trattato mettendo in risalto le applicazioni pratiche e risolvendo alcuni esercizi significativi
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Tensor and Vector Analysis

With Applications to Differential Geometry

by C. E. Springer ...

Series series Dover Books on Mathematics
Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.Beginning with a consideration of coordinate transformations and mappings, the treatment ... Read more

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Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.Beginning with a consideration of coordinate transformations and mappings, the treatment
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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

S$ 161.09 SGD

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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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

S$ 18.85 SGD

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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Recommended For You

Vector Analysis eBooks

Vector

Classical Fine Potential Theory

Special Topics In Electromagnetics

Matrici Vettori con applicazioni all'architettura

An Elastic Model for Volcanology

A Course on Tug-of-War Games with Random Noise

Topics in Clifford Analysis

Research Problems in Function Theory

Pluripotential Theory

Functions of Omega-Bounded Type

Introduction to Vectorial and Matricial Calculus

Classical Newtonian Gravity

Geometric Methods in PDE’s

Free Random Variables

Einführung in Vektoren, Matrizen und Tensoren

Ejercicios de Vectores y Espacios Vectoriales

Vector and Tensor Analysis with Applications

Near Vector Spaces and Related Topics

Fixed Point Theory in p-Vector Spaces

Reshetnyak's Theory of Subharmonic Metrics

Matematica: calcolo vettoriale e matriciale

Tensor and Vector Analysis

Conformally Invariant Metrics and Quasiconformal Mappings

Introduction to Vector and Tensor Analysis