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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

$192.19 CAD

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
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

$336.66 CAD

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
Einführung in die Vektor und Matrizenrechnung

by Simone Malacrida ...

Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt:Vektoren und VektorrechnungMatrizen und MatrizenrechnungJedes Thema wird behandelt, indem praktische Anwendungen betont und einige wichtige Aufgaben gelöst werden. ... Read more

$4.99 CAD

Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt:Vektoren und VektorrechnungMatrizen und MatrizenrechnungJedes Thema wird behandelt, indem praktische Anwendungen betont und einige wichtige Aufgaben gelöst werden.
... Read more
Algebra, Complex Analysis, and Pluripotential Theory

2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017

Edited by Zair Ibragimov, Norman Levenberg, Utkir Rozikov, Azimbay Sadullaev ...

Series series Springer Nature Proceedings excluding Computer Science
This book features papers presented during a special session on algebra, functional analysis, complex analysis, and pluripotential theory. Research articles focus on topics such as slow convergence, spectral expansion, holomorphic extension, m-subharmonic functions, pseudo-Galilean group, involutive algebra, Log-integrable measurable functions, Gibbs measures, harmonic and analytic functions, ... Read more

$115.29 CAD

This book features papers presented during a special session on algebra, functional analysis, complex analysis, and pluripotential theory. Research articles focus on topics such as slow convergence, spectral expansion, holomorphic extension, m-subharmonic functions, pseudo-Galilean group, involutive algebra, Log-integrable measurable functions, Gibbs measures, harmonic and analytic functions,
... Read more
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

$17.59 CAD

" … 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
A Primer on Semiconvex Functions in General Potential Theories

by Kevin R. Payne, Davide Francesco Redaelli ...

Series series Mathematics and Statistics (R0)
This book examines the symbiotic interplay between fully nonlinear elliptic partial differential equations and general potential theories of second order. Starting with a self-contained presentation of the classical theory of first and second order differentiability properties of convex functions, it collects a wealth of results on how to treat second order differentiability in a pointwise manner ... Read more

$89.69 CAD

This book examines the symbiotic interplay between fully nonlinear elliptic partial differential equations and general potential theories of second order. Starting with a self-contained presentation of the classical theory of first and second order differentiability properties of convex functions, it collects a wealth of results on how to treat second order differentiability in a pointwise manner
... Read more
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

$64.09 CAD

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

Introduction and Basic Constructions

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

$76.89 CAD

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
Tensors For Inquiring Minds

by Yury Deshko ...

Tensors for Inquiring Minds takes readers on a journey to discover tensors — powerful mathematical concepts used in many areas of modern science.Starting from the familiar ground of numbers and operations with numbers, readers are invited to re-examine these ideas in a new light, slowly building towards a deep understanding of the advanced mathematical concepts which they underpin. The overriding ... Read more

$101.68 CAD

Tensors for Inquiring Minds takes readers on a journey to discover tensors — powerful mathematical concepts used in many areas of modern science.Starting from the familiar ground of numbers and operations with numbers, readers are invited to re-examine these ideas in a new light, slowly building towards a deep understanding of the advanced mathematical concepts which they underpin. The overriding
... Read more
The Potential of Fields in Einstein's Theory of Gravitation

by Zafar Ahsan ...

This book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms. It demonstrates that these formalisms offer some simplifications over the tensorial methods, and investigates a general approach to finding the Lanczos potential for algebraic space–time by translating all the tensorial relations concerning the Lanczos potential into the language of ... Read more

$83.29 CAD

This book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms. It demonstrates that these formalisms offer some simplifications over the tensorial methods, and investigates a general approach to finding the Lanczos potential for algebraic space–time by translating all the tensorial relations concerning the Lanczos potential into the language of
... Read more
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

$182.75 CAD

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
Introduction to Vectors, Matrices and Tensors

by Simone Malacrida ...

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 ... Read more

$4.99 CAD

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
... Read more
Brownian Motion and its Applications to Mathematical Analysis

École d'Été de Probabilités de Saint-Flour XLIII – 2013

by Krzysztof Burdzy ...

Series series Mathematics and Statistics (R0)
These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations of microscopic objects, such as flower pollen in water, to stock market fluctuations. It is also a purely abstract mathematical ... Read more

$64.09 CAD

These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations of microscopic objects, such as flower pollen in water, to stock market fluctuations. It is also a purely abstract mathematical
... Read more
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

$153.69 CAD

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
Hyponormal Quantization of Planar Domains

Exponential Transform in Dimension Two

by Mihai Putinar, Björn Gustafsson ...

Series series Mathematics and Statistics (R0)
This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz ... Read more

$44.89 CAD

This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz
... Read more
Appunti di Analisi vettoriale con esercizi svolti

by Marcello Colozzo ...

Molti argomenti di Analisi vettoriale vengono trattati nel corso di Analisi matematica 2, con la differenza che teoremi, proposizioni e proprietà, sono elaborate nel potente paradigma vettoriale, che a sua volta consente l'applicazione immediata in Fisica.Gli argomenti pur essendo tipici, sono presentati in maniera atipica (quindi non presente su altri testi), facendo spesso riferimento a problemi ... Read more

$1.99 CAD or Free with Kobo Plus

Molti argomenti di Analisi vettoriale vengono trattati nel corso di Analisi matematica 2, con la differenza che teoremi, proposizioni e proprietà, sono elaborate nel potente paradigma vettoriale, che a sua volta consente l'applicazione immediata in Fisica.Gli argomenti pur essendo tipici, sono presentati in maniera atipica (quindi non presente su altri testi), facendo spesso riferimento a problemi
... Read more
Decorrelative Mollifier Gravimetry

Basics, Ideas, Concepts, and Examples

by Willi Freeden ...

Series series Mathematics and Statistics (R0)
This monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth. First, an insight into the current state of research is given by reducing gravimetry to mathematically accessible, and thus calculable, decorrelated models. In this way, the various unresolved questions and problems of gravimetry are made ... Read more

$192.19 CAD

This monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth. First, an insight into the current state of research is given by reducing gravimetry to mathematically accessible, and thus calculable, decorrelated models. In this way, the various unresolved questions and problems of gravimetry are made
... Read more
Random Walks on Disordered Media and their Scaling Limits

École d'Été de Probabilités de Saint-Flour XL - 2010

by Takashi Kumagai ...

Series series Mathematics and Statistics (R0)
In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits. We will focus on the discrete potential theory and how the theory is effectively used in the analysis of disordered media. The first few chapters of the notes can be used as an introduction to discrete potential theory ... Read more

$47.39 CAD

In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits. We will focus on the discrete potential theory and how the theory is effectively used in the analysis of disordered media. The first few chapters of the notes can be used as an introduction to discrete potential theory
... Read more
Differential Geometry For Physicists And Mathematicians: Moving Frames And Differential Forms: From Euclid Past Riemann

by Jose G Vargas ...

This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative — almost like a story ... Read more

$43.99 CAD

This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative — almost like a story
... Read more
Esercizi di matematica: vettori e spazi vettoriali

by Simone Malacrida ...

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:vettori e operazioni vettorialispazi vettorialibasi canoniche, ortogonali e ortonormaliSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi. ... Read more

$4.99 CAD

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:vettori e operazioni vettorialispazi vettorialibasi canoniche, ortogonali e ortonormaliSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi.
... Read more
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

$25.29 CAD

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
Geometry of PDEs and Related Problems

Cetraro, Italy 2017

by Xavier Cabré, Antoine Henrot, Daniel Peralta-Salas, Wolfgang Reichel, Henrik Shahgholian ...

Series series Mathematics and Statistics (R0)
The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references.Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held ... Read more

$70.49 CAD

The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references.Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held
... Read more
Distributions, Partial Differential Equations, and Harmonic Analysis

by Dorina Mitrea ...

Series series Mathematics and Statistics (R0)
The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester ... Read more

$83.29 CAD

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester
... Read more
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

$115.29 CAD

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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