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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$289 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
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$2,288 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
... 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$2,554 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
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Mappings with Direct and Inverse Poletsky Inequalities

由 Evgeny Sevost'yanov ……

系列 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 …… 閱讀更多內容

NT$4,521 TWD

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
... 閱讀更多內容
The Fractal Unity

由 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 …… 閱讀更多內容

NT$113 TWD 透過 Kobo Plus 免費享用

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
... 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$126 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
Distributions, Partial Differential Equations, and Harmonic Analysis

由 Dorina Mitrea ……

系列 series Mathematics and Statistics (R0)
The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e …… 閱讀更多內容

NT$2,434 TWD

The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e
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Random Walks on Disordered Media and their Scaling Limits

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

由 Takashi Kumagai ……

系列 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 …… 閱讀更多內容

NT$1,286 TWD

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

由 Dagmar Medková ……

系列 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 …… 閱讀更多內容

NT$6,260 TWD

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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Potential Theory on Sierpiński Carpets

With Applications to Uniformization

由 Dimitrios Ntalampekos ……

系列 series Mathematics and Statistics (R0)
This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs …… 閱讀更多內容

NT$1,739 TWD

This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the development of an innovative theory of harmonic functions that is suitable for Sierpiński carpets but differs
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Transmutation Operators and Applications

編輯者: Vladislav V. Kravchenko, Sergei M. Sitnik ……

系列 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 …… 閱讀更多內容

NT$3,130 TWD

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

由 Marta Lewicka ……

系列 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 …… 閱讀更多內容

NT$2,086 TWD

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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Exercices sur les vecteurs et les espaces vectoriels

由 Simone Malacrida ……

Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :vecteurs et opérations vectoriellesespaces vectorielsbases canoniques, orthogonales et orthonormées.Des conseils théoriques initiaux sont également présentés pour faire comprendre l'exécution des exercices …… 閱讀更多內容

NT$126 TWD

Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :vecteurs et opérations vectoriellesespaces vectorielsbases canoniques, orthogonales et orthonormées.Des conseils théoriques initiaux sont également présentés pour faire comprendre l'exécution des exercices
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Classical Newtonian Gravity

A Comprehensive Introduction, with Examples and Exercises

由 Roberto A. Capuzzo Dolcetta ……

系列 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 …… 閱讀更多內容

NT$1,739 TWD

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

由 Nita H. Shah, Jitendra Panchal ……

系列 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 …… 閱讀更多內容

NT$4,643 TWD

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
... 閱讀更多內容
The E. M. Stein Lectures on Hardy Spaces

由 Steven G. Krantz ……

系列 series Mathematics and Statistics (R0)
The book The E. M. Stein Lectures on Hardy Spaces is based on a graduate course on real variable Hardy spaces which was given by E.M. Stein at Princeton University in the academic year 1973-1974. Stein, along with C. Fefferman and G. Weiss, pioneered this subject area, removing the theory of Hardy spaces from its traditional dependence on complex variables, and to reveal its real-variable …… 閱讀更多內容

NT$2,261 TWD

The book The E. M. Stein Lectures on Hardy Spaces is based on a graduate course on real variable Hardy spaces which was given by E.M. Stein at Princeton University in the academic year 1973-1974. Stein, along with C. Fefferman and G. Weiss, pioneered this subject area, removing the theory of Hardy spaces from its traditional dependence on complex variables, and to reveal its real-variable
... 閱讀更多內容
Asymptotic Expansion of a Partition Function Related to the Sinh-model

由 Gaëtan Borot, Alice Guionnet, Karol K. Kozlowski ……

系列 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 …… 閱讀更多內容

NT$1,739 TWD

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
... 閱讀更多內容
Research Problems in Function Theory

Fiftieth Anniversary Edition

由 Walter K. Hayman, Eleanor F. Lingham ……

系列 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 …… 閱讀更多內容

NT$4,173 TWD

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
... 閱讀更多內容
Inverse M-Matrices and Ultrametric Matrices

由 Claude Dellacherie, Servet Martinez, Jaime San Martin ……

系列 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 …… 閱讀更多內容

NT$1,286 TWD

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
... 閱讀更多內容
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$1,739 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
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
Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

由 Vesna Todorčević ……

The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar …… 閱讀更多內容

NT$2,261 TWD

The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar
... 閱讀更多內容
How to Draw a Straight Line: A Lecture on Linkages (Illustrated)

由 A. B. Kempe, B.A ……

How to Draw a Straight Line: A Lecture on Linkages (Illustrated) by A. B. KEMPE, B.A.This Lecture was one of the series delivered to science teachers last summer in connection with the Loan Collection of Scientific Apparatus. I have taken the opportunity afforded by its publication to slightly enlarge it and to add several notes. For the illustrations I am indebted to my brother, Mr. H. R. Kempe, …… 閱讀更多內容

NT$99 TWD

How to Draw a Straight Line: A Lecture on Linkages (Illustrated) by A. B. KEMPE, B.A.This Lecture was one of the series delivered to science teachers last summer in connection with the Loan Collection of Scientific Apparatus. I have taken the opportunity afforded by its publication to slightly enlarge it and to add several notes. For the illustrations I am indebted to my brother, Mr. H. R. Kempe,
... 閱讀更多內容
Introduction au calcul vectoriel et matriciel

由 Simone Malacrida ……

Dans ce livre, les hypothèses théoriques des sujets mathématiques suivants sont présentées :vecteurs et calcul vectorielmatrices et calcul matricielChaque sujet est traité en mettant l'accent sur les applications pratiques et en résolvant quelques exercices significatifs. …… 閱讀更多內容

NT$126 TWD

Dans ce livre, les hypothèses théoriques des sujets mathématiques suivants sont présentées :vecteurs et calcul vectorielmatrices et calcul matricielChaque sujet est traité en mettant l'accent sur les applications pratiques et en résolvant quelques exercices significatifs.
... 閱讀更多內容

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