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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

523 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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Mappings with Direct and Inverse Poletsky Inequalities

− Evgeny Sevost'yanov ...

シリーズ series Mathematics and Statistics (R0)
The monograph is devoted to the use of the moduli method in mapping theory, in particular, the meaning of direct and inverse modulus inequalities and their possible applications. The main goal is the development of a modulus technique in the Euclidean space and some metric spaces (manifolds, surfaces, quotient spaces, etc.). Particular attention is paid to the local and boundary behavior of ... もっと見る

15,800 円

The monograph is devoted to the use of the moduli method in mapping theory, in particular, the meaning of direct and inverse modulus inequalities and their possible applications. The main goal is the development of a modulus technique in the Euclidean space and some metric spaces (manifolds, surfaces, quotient spaces, etc.). Particular attention is paid to the local and boundary behavior of
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The Fractal Unity

− Evolve By Love ...

THE FRACTAL UNITYSolving Complexity with Vector MomentumABSTRACTThis paper proposes a unified structural theory connecting the distribution of Prime Numbers, the non-coding sequences of DNA, and the dissipation of energy in Turbulent Fluids. By applying a Sequence Vector Formula (Sv) based on the Golden Ratio (ɸ) and a fixed frequency constant (13.5 Hz), we demonstrate that "Chaos" is a ... もっと見る

600 円

THE FRACTAL UNITYSolving Complexity with Vector MomentumABSTRACTThis paper proposes a unified structural theory connecting the distribution of Prime Numbers, the non-coding sequences of DNA, and the dissipation of energy in Turbulent Fluids. By applying a Sequence Vector Formula (Sv) based on the Golden Ratio (ɸ) and a fixed frequency constant (13.5 Hz), we demonstrate that "Chaos" is a
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Introduction to Vectorial and Matricial Calculus

− Simone Malacrida ...

The theoretical assumptions of the following mathematical topics are presented in this book:vectors and vector calculusmatrices and matrix calculusEach topic is treated by emphasizing practical applications and solving some significant exercises. ... もっと見る

634 円

The theoretical assumptions of the following mathematical topics are presented in this book:vectors and vector calculusmatrices and matrix calculusEach topic is treated by emphasizing practical applications and solving some significant exercises.
... 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

12,053 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
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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
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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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Transmutation Operators and Applications

編集 Vladislav V. Kravchenko, Sergei M. Sitnik ...

シリーズ series Mathematics and Statistics (R0)
Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and ... もっと見る

12,154 円

Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and
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A Course on Tug-of-War Games with Random Noise

Introduction and Basic Constructions

− Marta Lewicka ...

シリーズ series Mathematics and Statistics (R0)
This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise.The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book ... もっと見る

7,292 円

This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise.The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book
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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
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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Elementary Vector Calculus and Its Applications with MATLAB Programming

− Nita H. Shah, Jitendra Panchal ...

シリーズ series River Publishers Series in Mathematical, Statistical and Computational Modelling for Engineering
Sir Isaac Newton, one of the greatest scientists and mathematicians of all time, introduced the notion of a vector to define the existence of gravitational forces, the motion of the planets around the sun, and the motion of the moon around the earth. Vector calculus is a fundamental scientific tool that allows us to investigate the origins and evolution of space and time, as well as the origins of ... もっと見る

24,459 円

Sir Isaac Newton, one of the greatest scientists and mathematicians of all time, introduced the notion of a vector to define the existence of gravitational forces, the motion of the planets around the sun, and the motion of the moon around the earth. Vector calculus is a fundamental scientific tool that allows us to investigate the origins and evolution of space and time, as well as the origins of
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Research Problems in Function Theory

Fiftieth Anniversary Edition

− Walter K. Hayman, Eleanor F. Lingham ...

シリーズ 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 ... もっと見る

15,800 円

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
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Inverse M-Matrices and Ultrametric Matrices

− Claude Dellacherie, Servet Martinez, Jaime San Martin ...

シリーズ series Mathematics and Statistics (R0)
The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet ... もっと見る

4,618 円

The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose inverses are M-matrices. We present an answer in terms of discrete potential theory based on the Choquet
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Introducción a vectores, matrices y tensores

− Simone Malacrida ...

En este libro se presentan los supuestos teóricos de los siguientes temas matemáticos:vectores y cálculo vectorialmatrices y cálculo matricialespacios vectoriales y matricialesmatemáticas y cálculo tensorial ... もっと見る

634 円

En este libro se presentan los supuestos teóricos de los siguientes temas matemáticos:vectores y cálculo vectorialmatrices y cálculo matricialespacios vectoriales y matricialesmatemáticas y cálculo tensorial
... もっと見る
Asymptotic Expansion of a Partition Function Related to the Sinh-model

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

シリーズ 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 ... もっと見る

6,076 円

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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A Quantum Mechanics Primer with Solved Exercises

− Daniel Baye, Marianne Dufour, Benjamin Fuks ...

翻訳 Alan S. Cornell ...

シリーズ series Physics and Astronomy (R0)
This book provides a comprehensive introduction to quantum mechanics, supported by numerous solved exercises. Aiming to be both exhaustive and educational, it minimises overly formal aspects by presenting the wave mechanical approach to quantum mechanics. The book simplifies and rigorously covers a large set of fundamental topics such as potential wells and barriers, wave packets, harmonic ... もっと見る

10,938 円

This book provides a comprehensive introduction to quantum mechanics, supported by numerous solved exercises. Aiming to be both exhaustive and educational, it minimises overly formal aspects by presenting the wave mechanical approach to quantum mechanics. The book simplifies and rigorously covers a large set of fundamental topics such as potential wells and barriers, wave packets, harmonic
... 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
The Zero Code

− The Zero Code ...

The Zero Code: A Unified Theory of Language, Physics, and MeaningAbstractUsing only ancient ordinal gematria (A=1...Z=26) and derived weight ratios, the entire English lexicon self-organizes into nine resonance tiers governed by digital root (mod 9). Tier 9 exhibits a hyperbolic attractor at w = 13.500 ± 0.4, occupied exclusively by ontological primitives of unity, love, permanence, and wholeness. ... もっと見る

無料

The Zero Code: A Unified Theory of Language, Physics, and MeaningAbstractUsing only ancient ordinal gematria (A=1...Z=26) and derived weight ratios, the entire English lexicon self-organizes into nine resonance tiers governed by digital root (mod 9). Tier 9 exhibits a hyperbolic attractor at w = 13.500 ± 0.4, occupied exclusively by ontological primitives of unity, love, permanence, and wholeness.
... 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

21,086 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
Matrici Vettori con applicazioni all'architettura

− Antonio Galli ...

MATRICI VETTORI CON APPLICAZIONI ALL'ARCHITETTURA ... もっと見る

2,064 円

MATRICI VETTORI CON APPLICAZIONI ALL'ARCHITETTURA
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Applications of Tensor Analysis

− A. J. McConnell ...

This standard work applies tensorial methods to subjects within the realm of advanced college mathematics. In its four main divisions, it explains the fundamental ideas and the notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity, and hydrodynamics.Partial ... もっと見る

2,369 円

This standard work applies tensorial methods to subjects within the realm of advanced college mathematics. In its four main divisions, it explains the fundamental ideas and the notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity, and hydrodynamics.Partial
... もっと見る
Mathematical Foundation of the Boundary Integro-Differential Equation Method

− Houde Han, Dongsheng Yin ...

シリーズ series Mathematics and Statistics (R0)
The book focuses on the mathematical foundations of boundary integro-differential equation method, with a primary focus on reducing the hypersingular integrals in traditional boundary integral equations into boundary integro-differential equations with weak singularities. It briefly introduces the theory of distributions, while the boundary integral equations method is grounded in the fundamental ... もっと見る

19,447 円

The book focuses on the mathematical foundations of boundary integro-differential equation method, with a primary focus on reducing the hypersingular integrals in traditional boundary integral equations into boundary integro-differential equations with weak singularities. It briefly introduces the theory of distributions, while the boundary integral equations method is grounded in the fundamental
... もっと見る
Fixed Point Theory in p-Vector Spaces

− 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 ... もっと見る

12,770 円

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
... 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

Mappings with Direct and Inverse Poletsky Inequalities

The Fractal Unity

Introduction to Vectorial and Matricial Calculus

Advanced Calculus

Random Walks on Disordered Media and their Scaling Limits

The Laplace Equation

Transmutation Operators and Applications

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

Laplacian Growth on Branched Riemann Surfaces

Classical Newtonian Gravity

Elementary Vector Calculus and Its Applications with MATLAB Programming

Research Problems in Function Theory

Inverse M-Matrices and Ultrametric Matrices

Introducción a vectores, matrices y tensores

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

A Quantum Mechanics Primer with Solved Exercises

A Primer on Semiconvex Functions in General Potential Theories

The Zero Code

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

Matrici Vettori con applicazioni all'architettura

Applications of Tensor Analysis

Mathematical Foundation of the Boundary Integro-Differential Equation Method

Fixed Point Theory in p-Vector Spaces

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