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Recommended For You

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

RM 377.29

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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Multi-Layer Potentials and Boundary Problems

for Higher-Order Elliptic Systems in Lipschitz Domains

by Irina Mitrea, Marius Mitrea ...

Series series Mathematics and Statistics (R0)
Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods ... Read more

RM 209.59

Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods
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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

RM 141.19

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
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Introduction to Linear Algebra, 2nd edition

by Thomas A Whitelaw ...

This popular textbook was thoughtfully and specifically tailored to introducing undergraduate students to linear algebra. The second edition has been carefully revised to improve upon its already successful format and approach. In particular, the author added a chapter on quadratic forms, making this one of the most comprehensive introductory te ... Read more

RM 392.02

This popular textbook was thoughtfully and specifically tailored to introducing undergraduate students to linear algebra. The second edition has been carefully revised to improve upon its already successful format and approach. In particular, the author added a chapter on quadratic forms, making this one of the most comprehensive introductory te
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Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary

by Gabriel Katz ...

This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary. Many mathematical structures and constructions in the book fit comfortably in the framework of Morse Theory and, more generally, of the Singularity Theory of smooth maps.The geometric and combinatorial structures, arising from the interactions of vector flows with the boundary ... Read more

RM 501.09

This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary. Many mathematical structures and constructions in the book fit comfortably in the framework of Morse Theory and, more generally, of the Singularity Theory of smooth maps.The geometric and combinatorial structures, arising from the interactions of vector flows with the boundary
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Introdução ao Cálculo Vetorial e Matricial

by Simone Malacrida ...

Os pressupostos teóricos dos seguintes tópicos matemáticos são apresentados neste livro:vetores e cálculo vetorialmatrizes e cálculo matricialCada tópico é tratado enfatizando aplicações práticas e resolvendo alguns exercícios significativos. ... Read more

RM 15.64 or Free with Kobo Plus

Os pressupostos teóricos dos seguintes tópicos matemáticos são apresentados neste livro:vetores e cálculo vetorialmatrizes e cálculo matricialCada tópico é tratado enfatizando aplicações práticas e resolvendo alguns exercícios significativos.
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Harnack Inequalities and Nonlinear Operators

Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto

Edited by Vincenzo Vespri, Ugo Gianazza, Dario Daniele Monticelli, Fabio Punzo, Daniele Andreucci ...

Series series Springer Nature Proceedings excluding Computer Science
The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack’s inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at “Il Palazzone” in Cortona from June 18th ... Read more

RM 670.79

The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack’s inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at “Il Palazzone” in Cortona from June 18th
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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

RM 272.49

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
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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

RM 503.09

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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An Introduction to Vector Analysis

For Physicists and Engineers

by B. Hague ...

Series series Mathematics and Statistics (R0)
The principal changes that I have made in preparing this revised edition of the book are the following. (i) Carefuily selected worked and unworked examples have been added to six of the chapters. These examples have been taken from class and degree examination papers set in this University and I am grateful to the University Court for permission to use them. (ii) Some additional matter on the ... Read more

RM 209.59

The principal changes that I have made in preparing this revised edition of the book are the following. (i) Carefuily selected worked and unworked examples have been added to six of the chapters. These examples have been taken from class and degree examination papers set in this University and I am grateful to the University Court for permission to use them. (ii) Some additional matter on the
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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
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 ... Read more

RM 352.82

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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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

RM 628.89

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
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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

RM 921.34

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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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

by Joram Lindenstrauss, David Preiss, Jaroslav Tišer ...

Series Book 179 - Annals of Mathematics Studies
This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz ... Read more

RM 310.59

This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz
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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

RM 209.59

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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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

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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Asymptotic Expansion of a Partition Function Related to the Sinh-model

by Gaëtan Borot, Alice Guionnet, Karol K. Kozlowski ...

Series series Mathematics and Statistics (R0)
This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater ... Read more

RM 209.59

This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater
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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

RM 503.09

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
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

RM 209.59

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
Elements of Vector Algebra

by Rishi Kumar Jha, Anshuman Singh ...

The book, Elements of Vector Algebra, is written for high school and engineering students who wish to gain elementary knowledge of vectors. Algebraic and geometric interpretations of vectors, along with examples and exercises in mathematical and engineering applications, have been provided to help develop a clear understanding of the vector concepts.The book provides thorough treatment of ... Read more

RM 3.89

The book, Elements of Vector Algebra, is written for high school and engineering students who wish to gain elementary knowledge of vectors. Algebraic and geometric interpretations of vectors, along with examples and exercises in mathematical and engineering applications, have been provided to help develop a clear understanding of the vector concepts.The book provides thorough treatment of
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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

RM 278.32

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
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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

RM 258.72

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
Random Walks on Infinite Groups

by Steven P. Lalley ...

Series series Mathematics and Statistics (R0)
This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of symmetric random walks on the group, such as transience/recurrence, speed, entropy, and existence or ... Read more

RM 230.59

This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of symmetric random walks on the group, such as transience/recurrence, speed, entropy, and existence or
... Read more
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

RM 303.49

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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Recommended For You

Vector Analysis eBooks

Geometric Methods in PDE’s

Multi-Layer Potentials and Boundary Problems

Differential Geometry For Physicists And Mathematicians: Moving Frames And Differential Forms: From Euclid Past Riemann

Introduction to Linear Algebra, 2nd edition

Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary

Introdução ao Cálculo Vetorial e Matricial

Harnack Inequalities and Nonlinear Operators

The Potential of Fields in Einstein's Theory of Gravitation

Topics in Clifford Analysis

An Introduction to Vector Analysis

Generalized Calculus with Applications to Matter and Forces

Decorrelative Mollifier Gravimetry

Free Random Variables

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

An Elastic Model for Volcanology

Functions of Omega-Bounded Type

Asymptotic Expansion of a Partition Function Related to the Sinh-model

Research Problems in Function Theory

Pluripotential Theory

Elements of Vector Algebra

Tensors For Inquiring Minds

Engineering Mathematics with MATLAB

Random Walks on Infinite Groups

Fixed Point Theory in p-Vector Spaces