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Vector Analysis and Quaternions

− Alexander Macfarlane ...

Vector Analysis and Quaternions by Alexander MacfarlaneBy “Vector Analysis” is meant a space analysis in which the vector is the fundamental idea; by “Quaternions” is meant a space-analysis in which the quaternion is the fundamental idea. They are in truth complementary parts of one whole; and in this chapter they will be treated as such, and developed so as to harmonize with one another and with ... もっと見る

503 円

Vector Analysis and Quaternions by Alexander MacfarlaneBy “Vector Analysis” is meant a space analysis in which the vector is the fundamental idea; by “Quaternions” is meant a space-analysis in which the quaternion is the fundamental idea. They are in truth complementary parts of one whole; and in this chapter they will be treated as such, and developed so as to harmonize with one another and with
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Geometric Methods in PDE’s

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

シリーズ 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 ... もっと見る

12,154 円

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

− Irina Mitrea, Marius Mitrea ...

シリーズ 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 ... もっと見る

6,076 円

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

− 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 ... もっと見る

5,721 円

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

− 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 ... もっと見る

16,825 円

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

− 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 ... もっと見る

20,309 円

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

− 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. ... もっと見る

611 円

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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Free Random Variables

Free Distributions Dictated by the Semicircular Law

− Ilwoo Cho ...

シリーズ 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 ... もっと見る

39,542 円

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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Harnack Inequalities and Nonlinear Operators

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

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

シリーズ 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 ... もっと見る

20,662 円

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
... もっと見る
The Potential of Fields in Einstein's Theory of Gravitation

− 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 ... もっと見る

7,900 円

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

編集 Swanhild Bernstein ...

シリーズ 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 ... もっと見る

15,800 円

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

− B. Hague ...

シリーズ 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 ... もっと見る

6,076 円

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

− Luis Manuel Braga de Costa Campos ...

シリーズ 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 ... もっと見る

15,143 円

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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The Laplace Equation

Boundary Value Problems on Bounded and Unbounded Lipschitz Domains

− Dagmar Medková ...

シリーズ series Mathematics and Statistics (R0)
This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. It also examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces ... もっと見る

21,878 円

This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. It also examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces
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Dirichlet Forms and Related Topics

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

編集 Zhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura ...

シリーズ 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 ... もっと見る

18,231 円

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
... もっと見る
Calculus On Manifolds

A Modern Approach To Classical Theorems Of Advanced Calculus

− Michael Spivak ...

This little book is especially concerned with those portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of ... もっと見る

12,282 円

This little book is especially concerned with those portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of
... もっと見る
Brownian Motion and its Applications to Mathematical Analysis

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

− Krzysztof Burdzy ...

シリーズ 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 ... もっと見る

6,076 円

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
... もっと見る
Matematica: calcolo vettoriale e matriciale

− 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 ... もっと見る

611 円

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
... もっと見る
Laplacian Growth on Branched Riemann Surfaces

− Björn Gustafsson, Yu-Lin Lin ...

シリーズ series Mathematics and Statistics (R0)
This book studies solutions of the Polubarinova–Galin and Löwner–Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved. When the mapping function is no longer locally univalent interesting phase transitions take place, leading to structural ... もっと見る

7,292 円

This book studies solutions of the Polubarinova–Galin and Löwner–Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved. When the mapping function is no longer locally univalent interesting phase transitions take place, leading to structural
... もっと見る
Higher Mathematics for Science, Technology and Engineering

− S. G. Ahmed ...

Higher Mathematics for Science, Technology and Engineering is a textbook for undergraduate and postgraduate students undertaking science, technology, engineering and mathematics (STEM) courses. The book begins with an introduction to one variable functions, followed by chapters covering functional derivatives, partial differentiation, integrals, matrices and determinant theory, partial fractions ... もっと見る

4,160 円

Higher Mathematics for Science, Technology and Engineering is a textbook for undergraduate and postgraduate students undertaking science, technology, engineering and mathematics (STEM) courses. The book begins with an introduction to one variable functions, followed by chapters covering functional derivatives, partial differentiation, integrals, matrices and determinant theory, partial fractions
... もっと見る
Vector Fields with Applications to Thermodynamics and Irreversibility

− Luis Manuel Braga da Costa Campos, Luís António Raio Vilela ...

シリーズ series Mathematics and Physics for Science and Technology
Vector Fields with Applications to Thermodynamics and Irreversibility is part of the series "Mathematics and Physics for Science and Technology", which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. Volume V presents the mathematical theory of partial differential equations and methods ... もっと見る

11,103 円

Vector Fields with Applications to Thermodynamics and Irreversibility is part of the series "Mathematics and Physics for Science and Technology", which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. Volume V presents the mathematical theory of partial differential equations and methods
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Functions of Two Variables

− Sean Dineen ...

Multivariate calculus, as traditionally presented, can overwhelm students who approach it directly from a one-variable calculus background. There is another way-a highly engaging way that does not neglect readers' own intuition, experience, and excitement. One that presents the fundamentals of the subject in a two-variable context and was set forth in the popular first edition of Functions of Two ... もっと見る

21,368 円

Multivariate calculus, as traditionally presented, can overwhelm students who approach it directly from a one-variable calculus background. There is another way-a highly engaging way that does not neglect readers' own intuition, experience, and excitement. One that presents the fundamentals of the subject in a two-variable context and was set forth in the popular first edition of Functions of Two
... もっと見る
Vector Analysis and Cartesian Tensors, Third edition

− P C Kendall ...

This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples and progress can be checked by completing the many problems at the end of each section. Answers are ... もっと見る

21,368 円

This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples and progress can be checked by completing the many problems at the end of each section. Answers are
... もっと見る
Conformally Invariant Metrics and Quasiconformal Mappings

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

シリーズ 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 ... もっと見る

14,585 円

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
... もっと見る

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ベクトル解析電子書籍

Vector Analysis and Quaternions

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

Free Random Variables

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

The Laplace Equation

Dirichlet Forms and Related Topics

Calculus On Manifolds

Brownian Motion and its Applications to Mathematical Analysis

Matematica: calcolo vettoriale e matriciale

Laplacian Growth on Branched Riemann Surfaces

Higher Mathematics for Science, Technology and Engineering

Vector Fields with Applications to Thermodynamics and Irreversibility

Functions of Two Variables

Vector Analysis and Cartesian Tensors, Third edition

Conformally Invariant Metrics and Quasiconformal Mappings

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