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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
... もっと見る
Brakke's Mean Curvature Flow

An Introduction

− Yoshihiro Tonegawa ...

シリーズ series Mathematics and Statistics (R0)
This book explains the notion of Brakke’s mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory. The focus of study is a time-parameterized family of k-dimensional surfaces in the n-dimensional Euclidean space (1 ≤ k n). The family is the mean curvature flow if the velocity of motion of surfaces is given by the mean curvature at ... もっと見る

9,116 円

This book explains the notion of Brakke’s mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory. The focus of study is a time-parameterized family of k-dimensional surfaces in the n-dimensional Euclidean space (1 ≤ k n). The family is the mean curvature flow if the velocity of motion of surfaces is given by the mean curvature at
... もっと見る
Vector Analysis

− Louis Brand ...

シリーズ series Dover Books on Mathematics
The use of vectors not only simplifies treatments of differential geometry, mechanics, hydrodynamics, and electrodynamics, but also makes mathematical and physical concepts more tangible and easy to grasp. This text for undergraduates was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into these subjects' manifold ... もっと見る

2,017 円

The use of vectors not only simplifies treatments of differential geometry, mechanics, hydrodynamics, and electrodynamics, but also makes mathematical and physical concepts more tangible and easy to grasp. This text for undergraduates was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into these subjects' manifold
... もっと見る
Basic Analysis II

A Modern Calculus in Many Variables

− James K. Peterson ...

Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science ... もっと見る

28,940 円

Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science
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Search Techniques in Intelligent Classification Systems

− Andrey V. Savchenko ...

シリーズ 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, ... もっと見る

6,076 円

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

編集 Christian Constanda, Bardo E. J. Bodmann, Paul J. Harris ...

シリーズ 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 ... もっと見る

24,309 円

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

− 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 ... もっと見る

611 円

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
... もっと見る
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
... 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
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Abstract Duality Pairs In Analysis

− 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 ... もっと見る

13,444 円

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
... もっと見る
Ejercicios de Vectores y Espacios Vectoriales

− 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. ... もっと見る

611 円

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.
... もっと見る
Linear Algebra: Pure & Applied

− 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 ... もっと見る

8,295 円

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

− Roberto A. Capuzzo Dolcetta ...

シリーズ 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 ... もっと見る

6,076 円

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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Vectors and Matrices for Geometric and 3D Modeling

− 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 ... もっと見る

13,454 円

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
... もっと見る
Functional Linear Algebra

− Hannah Robbins ...

シリーズ series Textbooks in Mathematics
Linear algebra is an extremely versatile and useful subject. It rewards those who study it with powerful computational tools, lessons about how mathematical theory is built, examples for later study in other classes, and much more.Functional Linear Algebra is a unique text written to address the need for a one-term linear algebra course where students have taken only calculus. It does not assume ... もっと見る

14,301 円

Linear algebra is an extremely versatile and useful subject. It rewards those who study it with powerful computational tools, lessons about how mathematical theory is built, examples for later study in other classes, and much more.Functional Linear Algebra is a unique text written to address the need for a one-term linear algebra course where students have taken only calculus. It does not assume
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Einführung in Vektoren, Matrizen und Tensoren

− Simone Malacrida ...

Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt:Vektoren und VektorrechnungMatrizen und MatrizenrechnungVektor- und MatrixräumeMathematik und Tensorrechnung ... もっと見る

611 円

Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt:Vektoren und VektorrechnungMatrizen und MatrizenrechnungVektor- und MatrixräumeMathematik und Tensorrechnung
... もっと見る
Advanced Calculus

Theory and Practice

− John Petrovic ...

シリーズ series Textbooks in Mathematics
Advanced Calculus: Theory and Practice, Second Edition offers a text for a one- or two-semester course on advanced calculus or analysis.The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics.The book explains how various topics in calculus may seem ... もっと見る

11,608 円

Advanced Calculus: Theory and Practice, Second Edition offers a text for a one- or two-semester course on advanced calculus or analysis.The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics.The book explains how various topics in calculus may seem
... もっと見る
Singular Integral Operators, Quantitative Flatness, and Boundary Problems

− Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea ...

シリーズ series Mathematics and Statistics (R0)
This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of ... もっと見る

12,154 円

This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of
... もっと見る
Random Walks on Disordered Media and their Scaling Limits

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

− Takashi Kumagai ...

シリーズ 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 ... もっと見る

4,618 円

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
... もっと見る
Tools and Problems in Partial Differential Equations

− Thomas Alazard, Claude Zuily ...

シリーズ series Mathematics and Statistics (R0)
This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations.Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier ... もっと見る

7,900 円

This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations.Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier
... もっと見る
A Primer on Semiconvex Functions in General Potential Theories

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

シリーズ 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 ... もっと見る

8,507 円

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
... もっと見る
Multivariable Calculus

− L. Corwin ...

シリーズ series Chapman & Hall/CRC Pure and Applied Mathematics
Classroom-tested and lucidly written, Multivariable Calculus gives a thorough and rigoroustreatment of differential and integral calculus of functions of several variables. Designed as ajunior-level textbook for an advanced calculus course, this book covers a variety of notions,including continuity , differentiation, multiple integrals, line and surface integrals, differentialforms, and infinite ... もっと見る

14,806 円

Classroom-tested and lucidly written, Multivariable Calculus gives a thorough and rigoroustreatment of differential and integral calculus of functions of several variables. Designed as ajunior-level textbook for an advanced calculus course, this book covers a variety of notions,including continuity , differentiation, multiple integrals, line and surface integrals, differentialforms, and infinite
... もっと見る
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
... もっと見る
Potential Theory

− Lester L. Helms ...

シリーズ series Mathematics and Statistics (R0)
Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops ... もっと見る

9,723 円

Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops
... もっと見る

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おすすめ

ベクトル解析電子書籍

Vector Analysis and Quaternions

Brakke's Mean Curvature Flow

Vector Analysis

Basic Analysis II

Search Techniques in Intelligent Classification Systems

Integral Methods in Science and Engineering

Exercises of Vectors and Vectorial Spaces

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

Matematica: calcolo vettoriale e matriciale

Abstract Duality Pairs In Analysis

Ejercicios de Vectores y Espacios Vectoriales

Linear Algebra: Pure & Applied

Classical Newtonian Gravity

Vectors and Matrices for Geometric and 3D Modeling

Functional Linear Algebra

Einführung in Vektoren, Matrizen und Tensoren

Advanced Calculus

Singular Integral Operators, Quantitative Flatness, and Boundary Problems

Random Walks on Disordered Media and their Scaling Limits

Tools and Problems in Partial Differential Equations

A Primer on Semiconvex Functions in General Potential Theories

Multivariable Calculus

Multi-Layer Potentials and Boundary Problems

Potential Theory

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