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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

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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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Spectral Theory for Linear Operators

Demicompactness and Perturbation Theory

by Bilel Krichen ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces. This class played an important rule in the theory of perturbation. More precisely, it contributed in the construction of several classes of stability of essential spectra for bounded or unbounded linear operators. We should emphasize that this book is the ... Read more

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This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces. This class played an important rule in the theory of perturbation. More precisely, it contributed in the construction of several classes of stability of essential spectra for bounded or unbounded linear operators. We should emphasize that this book is the
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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

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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

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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

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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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An Introduction to Vector Analysis

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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

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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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Analysis leicht gemacht

Vorbereitungen für das Abitur

by Franz Daniels ...

Series Book 1 - Mathematik leicht gemacht
Das Buch enthält Aufgaben aus der Analysis. Es enthält Aufgaben ganzrationaler Funktionen und Funktionenscharen 2., 3. und 4.Grades aber auch e- und ln-Funktionen, schließlich sind auch einige gebrochen rationale Funktionen und Integrale enthalten. Die Lösungen aller Aufgaben werden sehr genau erklärt und ausführlich durchgerechnet. Das Buch richtet sich hauptsächlich an Personen, die sich auf das ... Read more

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Das Buch enthält Aufgaben aus der Analysis. Es enthält Aufgaben ganzrationaler Funktionen und Funktionenscharen 2., 3. und 4.Grades aber auch e- und ln-Funktionen, schließlich sind auch einige gebrochen rationale Funktionen und Integrale enthalten. Die Lösungen aller Aufgaben werden sehr genau erklärt und ausführlich durchgerechnet. Das Buch richtet sich hauptsächlich an Personen, die sich auf das
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Vector and Tensor Analysis

by Eutiquio C. Young ...

Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems ... Read more

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Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems
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Vectors and Matrices for Geometric and 3D Modeling

by Michael Mortenson ...

Vectors are perhaps the most important mathematical objects used in modeling and animation. They have the properties of magnitude and direction, and provide visual understanding of model construction and analysis. Matrices are natural and hardworking partners of vectors.This work presents lessons on vectors and matrices in geometric and 3D modeling—the mathematics at the foundation of computer ... Read more

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Vectors are perhaps the most important mathematical objects used in modeling and animation. They have the properties of magnitude and direction, and provide visual understanding of model construction and analysis. Matrices are natural and hardworking partners of vectors.This work presents lessons on vectors and matrices in geometric and 3D modeling—the mathematics at the foundation of computer
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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

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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.
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Introducción al cálculo vectorial y matricial

by Simone Malacrida ...

En este libro se presentan los supuestos teóricos de los siguientes temas matemáticos:vectores y cálculo vectorialmatrices y cálculo matricialCada tema se trata haciendo hincapié en las aplicaciones prácticas y resolviendo algunos ejercicios significativos. ... Read more

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En este libro se presentan los supuestos teóricos de los siguientes temas matemáticos:vectores y cálculo vectorialmatrices y cálculo matricialCada tema se trata haciendo hincapié en las aplicaciones prácticas y resolviendo algunos ejercicios significativos.
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Harmonic and Complex Analysis and its Applications

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Series series Mathematics and Statistics (R0)
This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and ... Read more

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This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and
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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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Complex Analysis and Dynamics in One Variable with Applications

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Series series Mathematics and Statistics (R0)
This textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics. It focuses on the fundamental aspects of one-variable complex functions, covering the geometric theory and dynamics of iterations of rational mappings. Following the standard material, the book delves into an extensive range of advanced topics, encompassing the requirements for a one ... Read more

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This textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics. It focuses on the fundamental aspects of one-variable complex functions, covering the geometric theory and dynamics of iterations of rational mappings. Following the standard material, the book delves into an extensive range of advanced topics, encompassing the requirements for a one
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Vectors in Physics and Engineering

by Alan Durrant ...

This text is an introduction to the use of vectors in a wide range of undergraduate disciplines. It is written specifically to match the level of experience and mathematical qualifications of students entering undergraduate and Higher National programmes and it assumes only a minimum of mathematical background on the part of the reader. Basic mathematics underlying the use of vectors is covered, ... Read more

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This text is an introduction to the use of vectors in a wide range of undergraduate disciplines. It is written specifically to match the level of experience and mathematical qualifications of students entering undergraduate and Higher National programmes and it assumes only a minimum of mathematical background on the part of the reader. Basic mathematics underlying the use of vectors is covered,
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Search Techniques in Intelligent Classification Systems

by Andrey V. Savchenko ...

Series series Mathematics and Statistics (R0)
A unified methodology for categorizing various complex objects is presented in this book. Through probability theory, novel asymptotically minimax criteria suitable for practical applications in imaging and data analysis are examined including the special cases such as the Jensen-Shannon divergence and the probabilistic neural network. An optimal approximate nearest neighbor search algorithm, ... Read more

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A unified methodology for categorizing various complex objects is presented in this book. Through probability theory, novel asymptotically minimax criteria suitable for practical applications in imaging and data analysis are examined including the special cases such as the Jensen-Shannon divergence and the probabilistic neural network. An optimal approximate nearest neighbor search algorithm,
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Integral Methods in Science and Engineering

Study and Solutions of Mathematical Models

Edited by Christian Constanda, Bardo E. J. Bodmann, Paul J. Harris ...

Series series Springer Nature Proceedings excluding Computer Science
This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Eighteenth International Conference on Integral Methods in Science and Engineering, held in Macaé, Brazil in August 2024, and are written ... Read more

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This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Eighteenth International Conference on Integral Methods in Science and Engineering, held in Macaé, Brazil in August 2024, and are written
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Exercises of Vectors and Vectorial Spaces

by Simone Malacrida ...

In this book, exercises are carried out regarding the following mathematical topics:vectors and vector operationsvector spacescanonical, orthogonal, and orthonormal bases.Initial theoretical hints are also presented to make the performance of the exercises understood ... Read more

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In this book, exercises are carried out regarding the following mathematical topics:vectors and vector operationsvector spacescanonical, orthogonal, and orthonormal bases.Initial theoretical hints are also presented to make the performance of the exercises understood
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Abstract Duality Pairs In Analysis

by Charles W Swartz ...

The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise ... Read more

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The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise
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Übungen zu Vektoren und vektoriellen Räumen

by Simone Malacrida ...

In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Vektoren und VektoroperationenVektorräumekanonische, orthogonale und orthonormale Basen.Außerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen ... Read more

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In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Vektoren und VektoroperationenVektorräumekanonische, orthogonale und orthonormale Basen.Außerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen
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Linear Algebra: Pure & Applied

by Edgar Goodaire ...

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the ... Read more

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This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the
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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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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

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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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Calculus On Manifolds

A Modern Approach To Classical Theorems Of Advanced Calculus

by 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 ... Read more

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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
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Recommended For You

Vector Analysis eBooks

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

Spectral Theory for Linear Operators

Harnack Inequalities and Nonlinear Operators

The Potential of Fields in Einstein's Theory of Gravitation

Topics in Clifford Analysis

An Introduction to Vector Analysis

Analysis leicht gemacht

Vector and Tensor Analysis

Vectors and Matrices for Geometric and 3D Modeling

Einführung in die Vektor und Matrizenrechnung

Introducción al cálculo vectorial y matricial

Harmonic and Complex Analysis and its Applications

Ejercicios de Vectores y Espacios Vectoriales

Complex Analysis and Dynamics in One Variable with Applications

Vectors in Physics and Engineering

Search Techniques in Intelligent Classification Systems

Integral Methods in Science and Engineering

Exercises of Vectors and Vectorial Spaces

Abstract Duality Pairs In Analysis

Übungen zu Vektoren und vektoriellen Räumen

Linear Algebra: Pure & Applied

Classical Newtonian Gravity

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

Calculus On Manifolds