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Vector

A Surprising Story of Space, Time, and Mathematical Transformation

由 Robyn Arianrhod ……

A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions—sparking both controversy and discovery.The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word “vector” might remind you of the mathematics needed to determine forces on an amusement park ride, a turbine, or a projectile. You might also …… 閱讀更多內容

NT$664 TWD

A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions—sparking both controversy and discovery.The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word “vector” might remind you of the mathematics needed to determine forces on an amusement park ride, a turbine, or a projectile. You might also
... 閱讀更多內容
Calculus On Manifolds

A Modern Approach To Classical Theorems Of Advanced Calculus

由 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 …… 閱讀更多內容

NT$2,405 TWD

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
... 閱讀更多內容
Advanced Calculus

Theory and Practice

由 John Petrovic ……

系列 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 …… 閱讀更多內容

NT$2,175 TWD

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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Geometric Methods in PDE’s

編輯者: Giovanna Citti, Maria Manfredini, Daniele Morbidelli, Sergio Polidoro, Francesco Uguzzoni ……

系列 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 …… 閱讀更多內容

NT$3,170 TWD

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

由 Irina Mitrea, Marius Mitrea ……

系列 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 …… 閱讀更多內容

NT$1,762 TWD

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

由 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 …… 閱讀更多內容

NT$1,185 TWD

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
... 閱讀更多內容
Introduction to Linear Algebra, 2nd edition

由 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 …… 閱讀更多內容

NT$3,294 TWD

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

由 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 …… 閱讀更多內容

NT$4,211 TWD

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

由 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. …… 閱讀更多內容

NT$125 TWD 透過 Kobo Plus 免費享用

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

由 Ilwoo Cho ……

系列 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 …… 閱讀更多內容

NT$7,743 TWD

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

編輯者: Vincenzo Vespri, Ugo Gianazza, Dario Daniele Monticelli, Fabio Punzo, Daniele Andreucci ……

系列 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 …… 閱讀更多內容

NT$5,636 TWD

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

由 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 …… 閱讀更多內容

NT$2,290 TWD

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

編輯者: Swanhild Bernstein ……

系列 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 …… 閱讀更多內容

NT$4,228 TWD

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

由 B. Hague ……

系列 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 …… 閱讀更多內容

NT$1,762 TWD

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
... 閱讀更多內容
Generalized Calculus with Applications to Matter and Forces

由 Luis Manuel Braga de Costa Campos ……

系列 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 …… 閱讀更多內容

NT$2,965 TWD

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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Plane Geometry (The Illustrated Classic)

由 George Wentworth ……

Plane Geometry By George Wentworth Contains Over 600 Exercises !!! Most persons do not possess, and do not easily acquire, the power of abstraction requisite for apprehending geometrical conceptions, and for keeping in mind the successive steps of a continuous argument. Hence, with a very large proportion of beginners in Geometry, it depends mainly upon the form in which the subject is presented …… 閱讀更多內容

NT$99 TWD

Plane Geometry By George Wentworth Contains Over 600 Exercises !!! Most persons do not possess, and do not easily acquire, the power of abstraction requisite for apprehending geometrical conceptions, and for keeping in mind the successive steps of a continuous argument. Hence, with a very large proportion of beginners in Geometry, it depends mainly upon the form in which the subject is presented
... 閱讀更多內容
Inequalities and Integral Operators in Function Spaces

由 Erlan Nursultanov ……

系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools.Classical inequalities such as Hardy’s inequality, Remez’s inequality, the Bernstein-Nikolsky inequality, the Hardy-Littlewood-Sobolev inequality for the Riesz transform, the Hardy-Littlewood inequality for Fourier transforms …… 閱讀更多內容

NT$7,743 TWD

The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools.Classical inequalities such as Hardy’s inequality, Remez’s inequality, the Bernstein-Nikolsky inequality, the Hardy-Littlewood-Sobolev inequality for the Riesz transform, the Hardy-Littlewood inequality for Fourier transforms
... 閱讀更多內容
Hyponormal Quantization of Planar Domains

Exponential Transform in Dimension Two

由 Mihai Putinar, Björn Gustafsson ……

系列 series Mathematics and Statistics (R0)
This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz …… 閱讀更多內容

NT$1,233 TWD

This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz
... 閱讀更多內容
Os Acidentes Aéreos No Brasil

由 O Historiador ……

Quando escrevi este livro em 2020 eu tinha 51 anos, de maneira que os grandes acidentes aéreos especialmente de voos comerciais eu acompanhei os noticiários dia-a-dia. Os acidentes que aqui vou descrever os eventos foram em boa parte ocorridos na minha geração. Estudar e conhecer os fatores que desencadearam os acidentes aéreos e suas tragédias são de grande utilidade como ferramenta para …… 閱讀更多內容

NT$160 TWD 透過 Kobo Plus 免費享用

Quando escrevi este livro em 2020 eu tinha 51 anos, de maneira que os grandes acidentes aéreos especialmente de voos comerciais eu acompanhei os noticiários dia-a-dia. Os acidentes que aqui vou descrever os eventos foram em boa parte ocorridos na minha geração. Estudar e conhecer os fatores que desencadearam os acidentes aéreos e suas tragédias são de grande utilidade como ferramenta para
... 閱讀更多內容
Brakke's Mean Curvature Flow

An Introduction

由 Yoshihiro Tonegawa ……

系列 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 …… 閱讀更多內容

NT$2,642 TWD

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
... 閱讀更多內容
Introduction to Vectorial and Matricial Calculus

由 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. …… 閱讀更多內容

NT$125 TWD

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.
... 閱讀更多內容
Vector Partitions, Visible Points and Ramanujan Functions

由 Geoffrey B. Campbell ……

Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an extension to the existing theory of Integer Partitions. The book is suitable for graduate students in physics, applied mathematics, number theory and computational mathematics. It takes the reader up to …… 閱讀更多內容

NT$7,743 TWD

Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an extension to the existing theory of Integer Partitions. The book is suitable for graduate students in physics, applied mathematics, number theory and computational mathematics. It takes the reader up to
... 閱讀更多內容
Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

由 Joram Lindenstrauss, David Preiss, Jaroslav Tišer ……

系列第 179 冊 - Annals of Mathematics Studies
This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz …… 閱讀更多內容

NT$2,609 TWD

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

由 Andrea Aspri ……

系列 series Lecture Notes in Geosystems Mathematics and Computing
This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth’s interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now, …… 閱讀更多內容

NT$1,762 TWD

This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth’s interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now,
... 閱讀更多內容

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