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Vector

A Surprising Story of Space, Time, and Mathematical Transformation

by 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 ... Read more

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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
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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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Plane Geometry (The Illustrated Classic)

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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 ... Read more

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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
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Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

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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 ... Read more

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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
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How to Draw a Straight Line: A Lecture on Linkages (Illustrated)

by 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, ... Read more

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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,
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Introduction au calcul vectoriel et matriciel

by 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. ... Read more

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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.
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Hyponormal Quantization of Planar Domains

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by Mihai Putinar, Björn Gustafsson ...

Series 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 ... Read more

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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
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Matrix Vector Analysis

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Series series Dover Books on Mathematics
This outstanding text and reference applies matrix ideas to vector methods, using physical ideas to illustrate and motivate mathematical concepts but employing a mathematical continuity of development rather than a physical approach. The author, who taught at the U.S. Air Force Academy, dispenses with the artificial barrier between vectors and matrices--and more generally, between pure and applied ... Read more

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This outstanding text and reference applies matrix ideas to vector methods, using physical ideas to illustrate and motivate mathematical concepts but employing a mathematical continuity of development rather than a physical approach. The author, who taught at the U.S. Air Force Academy, dispenses with the artificial barrier between vectors and matrices--and more generally, between pure and applied
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Introduction to Vector and Tensor Analysis

by Robert C. Wrede ...

Series series Dover Books on Mathematics
This broad introduction to vector and tensor analysis is designed for the advanced undergraduate or graduate student in mathematics, physics, and engineering as well as for the practicing engineer or physicist who needs a theoretical understanding of these essential mathematical tools. In recent years, the vector approach has found its way even into writings on aspects of biology, economics, and ... Read more

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This broad introduction to vector and tensor analysis is designed for the advanced undergraduate or graduate student in mathematics, physics, and engineering as well as for the practicing engineer or physicist who needs a theoretical understanding of these essential mathematical tools. In recent years, the vector approach has found its way even into writings on aspects of biology, economics, and
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About Vectors

by Banesh Hoffmann ...

Series series Dover Books on Mathematics
From his unusual beginning in "Defining a vector" to his final comments on "What then is a vector?" author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks, as ... Read more

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From his unusual beginning in "Defining a vector" to his final comments on "What then is a vector?" author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks, as
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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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Mappings with Direct and Inverse Poletsky Inequalities

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Series 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 ... Read more

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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

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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

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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.
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Advanced Calculus

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Series 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 ... Read more

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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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Distributions, Partial Differential Equations, and Harmonic Analysis

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Series 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 ... Read more

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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

by Takashi Kumagai ...

Series 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 ... Read more

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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

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by Dagmar Medková ...

Series 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 ... Read more

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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

by Dimitrios Ntalampekos ...

Series 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 ... Read more

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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

Edited by Vladislav V. Kravchenko, Sergei M. Sitnik ...

Series 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 ... Read more

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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

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by Marta Lewicka ...

Series 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 ... Read more

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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

by 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 ... Read more

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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

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

S$ 73.13 SGD

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

by Nita H. Shah, Jitendra Panchal ...

Series 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 ... Read more

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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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Recommended For You

Vector Analysis eBooks

Vector

An Introduction to Vector Analysis

Plane Geometry (The Illustrated Classic)

Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

How to Draw a Straight Line: A Lecture on Linkages (Illustrated)

Introduction au calcul vectoriel et matriciel

Hyponormal Quantization of Planar Domains

Matrix Vector Analysis

Introduction to Vector and Tensor Analysis

About Vectors

Introducción al cálculo vectorial y matricial

Mappings with Direct and Inverse Poletsky Inequalities

The Fractal Unity

Introduction to Vectorial and Matricial Calculus

Advanced Calculus

Distributions, Partial Differential Equations, and Harmonic Analysis

Random Walks on Disordered Media and their Scaling Limits

The Laplace Equation

Potential Theory on Sierpiński Carpets

Transmutation Operators and Applications

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

Exercices sur les vecteurs et les espaces vectoriels

Classical Newtonian Gravity

Elementary Vector Calculus and Its Applications with MATLAB Programming