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Linear Algebra: Pure & Applied

by Edgar Goodaire ...

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the ... Read more

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This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the
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Vector

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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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Elements of Vector Algebra

by Rishi Kumar Jha, Anshuman Singh ...

The book, Elements of Vector Algebra, is written for high school and engineering students who wish to gain elementary knowledge of vectors. Algebraic and geometric interpretations of vectors, along with examples and exercises in mathematical and engineering applications, have been provided to help develop a clear understanding of the vector concepts.The book provides thorough treatment of ... Read more

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The book, Elements of Vector Algebra, is written for high school and engineering students who wish to gain elementary knowledge of vectors. Algebraic and geometric interpretations of vectors, along with examples and exercises in mathematical and engineering applications, have been provided to help develop a clear understanding of the vector concepts.The book provides thorough treatment of
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by Niels Jacob, Kristian P Evans ...

'The authors give many examples, illustrations and exercises to help students digest the theory and they employ use of clear and neat notation throughout. I really appreciate their selection of exercises, since many of the problems develop simple techniques to be used later in the book or make connections of analysis with other parts of mathematics. There are also solutions to all of the exercises ... Read more

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

by 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 ... Read more

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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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Abstract Duality Pairs In Analysis

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The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise ... Read more

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The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise
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Transmutation Operators and Applications

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

Series series Trends in Mathematics
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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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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Brownian Motion and its Applications to Mathematical Analysis

École d'Été de Probabilités de Saint-Flour XLIII – 2013

by Krzysztof Burdzy ...

Series series Mathematics and Statistics (R0)
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These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations of microscopic objects, such as flower pollen in water, to stock market fluctuations. It is also a purely abstract mathematical
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In this book, exercises are carried out regarding the following mathematical topics:vectors and vector operationsvector spacescanonical, orthogonal, and orthonormal bases.Initial theoretical hints are also presented to make the performance of the exercises understood ... Read more

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Advanced Calculus

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by John Petrovic ...

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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Spectral Theory for Linear Operators

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by Bilel Krichen ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces. This class played an important rule in the theory of perturbation. More precisely, it contributed in the construction of several classes of stability of essential spectra for bounded or unbounded linear operators. We should emphasize that this book is the ... Read more

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This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces. This class played an important rule in the theory of perturbation. More precisely, it contributed in the construction of several classes of stability of essential spectra for bounded or unbounded linear operators. We should emphasize that this book is the
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Functional Linear Algebra

by Hannah Robbins ...

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

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Fixed Point Results in W-Distance Spaces

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Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics. It would be especially valuable for graduate and postgraduate courses and seminars ... Read more

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by 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. ... Read more

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The Absolute Differential Calculus (Calculus of Tensors)

by Tullio Levi-Civita ...

Series series Dover Books on Mathematics
Written by a towering figure of twentieth-century mathematics, this classic examines the mathematical background necessary for a grasp of relativity theory. Tullio Levi-Civita provides a thorough treatment of the introductory theories that form the basis for discussions of fundamental quadratic forms and absolute differential calculus, and he further explores physical applications.Part one opens ... Read more

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Written by a towering figure of twentieth-century mathematics, this classic examines the mathematical background necessary for a grasp of relativity theory. Tullio Levi-Civita provides a thorough treatment of the introductory theories that form the basis for discussions of fundamental quadratic forms and absolute differential calculus, and he further explores physical applications.Part one opens
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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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Random Walks on Infinite Groups

by Steven P. Lalley ...

Series series Mathematics and Statistics (R0)
This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of symmetric random walks on the group, such as transience/recurrence, speed, entropy, and existence or ... Read more

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This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of symmetric random walks on the group, such as transience/recurrence, speed, entropy, and existence or
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Recent Advances in Approximation and Potential Theory

In Honor of Edward Saff

Edited by Dmitriy Bilyk, Emil Iacob, Andrei Martinez-Finkelshtein, Alexander M. Stokolos ...

Series series Mathematics and Statistics (R0)
Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements. ... Read more

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Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis. The chapters in this volume – compiled on the occasion of his 80th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
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Singular Integral Operators, Quantitative Flatness, and Boundary Problems

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

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

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This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of
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Plane Geometry (The Illustrated Classic)

by 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 ... 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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Vector Analysis and Cartesian Tensors, Third edition

by P C Kendall ...

This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples and progress can be checked by completing the many problems at the end of each section. Answers are ... Read more

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This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples and progress can be checked by completing the many problems at the end of each section. Answers are
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Vector Analysis

by Louis Brand ...

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

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

Vector Analysis eBooks

Linear Algebra: Pure & Applied

Vector

Elements of Vector Algebra

Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus

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

Abstract Duality Pairs In Analysis

Transmutation Operators and Applications

Elementary Vector Calculus and Its Applications with MATLAB Programming

Brownian Motion and its Applications to Mathematical Analysis

Exercises of Vectors and Vectorial Spaces

Advanced Calculus

Spectral Theory for Linear Operators

Functional Linear Algebra

Os Acidentes Aéreos No Brasil

Fixed Point Results in W-Distance Spaces

Introdução ao Cálculo Vetorial e Matricial

The Absolute Differential Calculus (Calculus of Tensors)

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

Random Walks on Infinite Groups

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Vector Analysis and Cartesian Tensors, Third edition

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