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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

$8.69 USD

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
Calculus On Manifolds

A Modern Approach To Classical Theorems Of Advanced Calculus

by 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 ... Read more

$76.99 USD

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
... Read more
Geometry Of Spherical Space Form Groups, The (Second Edition)

by Peter B Gilkey ...

Series Book 28 - Series In Pure Mathematics
This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as ... Read more

$106.99 USD

This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as
... Read more
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

$52.99 USD

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
Vector Calculus Using Mathematica Second Edition

by Steven Tan ...

An introduction to vector calculus with the aid of Mathematica® computer algebra system to represent them and to calculate with them. The unique features of the book, which set it apart from the existing textbooks, are the large number of illustrative examples. It is the author’s opinion a novice in science or engineering needs to see a lot of examples in which mathematics is used to be able to ... Read more

$10.99 USD

An introduction to vector calculus with the aid of Mathematica® computer algebra system to represent them and to calculate with them. The unique features of the book, which set it apart from the existing textbooks, are the large number of illustrative examples. It is the author’s opinion a novice in science or engineering needs to see a lot of examples in which mathematics is used to be able to
... Read more
Tensors For Inquiring Minds

by Yury Deshko ...

Tensors for Inquiring Minds takes readers on a journey to discover tensors — powerful mathematical concepts used in many areas of modern science.Starting from the familiar ground of numbers and operations with numbers, readers are invited to re-examine these ideas in a new light, slowly building towards a deep understanding of the advanced mathematical concepts which they underpin. The overriding ... Read more

$73.99 USD

Tensors for Inquiring Minds takes readers on a journey to discover tensors — powerful mathematical concepts used in many areas of modern science.Starting from the familiar ground of numbers and operations with numbers, readers are invited to re-examine these ideas in a new light, slowly building towards a deep understanding of the advanced mathematical concepts which they underpin. The overriding
... Read more
Mappings with Direct and Inverse Poletsky Inequalities

by Evgeny Sevost'yanov ...

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

$125.99 USD

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
The Fractal Unity

by 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 ... Read more

$3.60 USD or Free with Kobo Plus

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
... Read more
Introduction to Vectorial and Matricial Calculus

by 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. ... Read more

$3.99 USD

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.
... Read more
Advanced Calculus

Theory and Practice

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

$68.99 USD

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
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

$40.99 USD

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
The Laplace Equation

Boundary Value Problems on Bounded and Unbounded Lipschitz Domains

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

$179.99 USD

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
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

$89.99 USD

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

Introduction and Basic Constructions

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

$58.99 USD

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
Laplacian Growth on Branched Riemann Surfaces

by Björn Gustafsson, Yu-Lin Lin ...

Series 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 ... Read more

$58.49 USD

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
... Read more
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

$49.99 USD

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
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

$140.99 USD

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
Miten merten kemia vaikuttaa ilmastomuutokseen?

Matemaattinen analyysi

by Matti Moilanen ...

Ilmastomuutoksesta ovat kuulleet kaikki ja monet tietävät varmaankin käsitteen ilmastomalli, josta puhuvat etenkin ilmastotieteilijät. Sen merkitys on kuitenkin jäänyt epäselväksi varsinkin, kun ilmastotutkijat eivät juurikaan ole siitä kertoneet. Tilannetta sekoittaa vielä se, että ilmastomalleja on useita, jotka kaikki antavat enemmän tai vähemmän erilaisia tuloksia. Tämä kirja pyrkii kuvaamaan ... Read more

$7.99 USD

Ilmastomuutoksesta ovat kuulleet kaikki ja monet tietävät varmaankin käsitteen ilmastomalli, josta puhuvat etenkin ilmastotieteilijät. Sen merkitys on kuitenkin jäänyt epäselväksi varsinkin, kun ilmastotutkijat eivät juurikaan ole siitä kertoneet. Tilannetta sekoittaa vielä se, että ilmastomalleja on useita, jotka kaikki antavat enemmän tai vähemmän erilaisia tuloksia. Tämä kirja pyrkii kuvaamaan
... Read more
Research Problems in Function Theory

Fiftieth Anniversary Edition

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

Series 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 ... Read more

$116.99 USD

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
... Read more
Inverse M-Matrices and Ultrametric Matrices

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

Series 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 ... Read more

$40.99 USD

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
... Read more
Introducción a vectores, matrices y tensores

by 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 ... Read more

$3.99 USD

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

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

Series 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 ... Read more

$49.49 USD

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
... Read more
A Quantum Mechanics Primer with Solved Exercises

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

Translated by Alan S. Cornell ...

Series 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 ... Read more

$80.09 USD

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
... Read more
A Primer on Semiconvex Functions in General Potential Theories

by Kevin R. Payne, Davide Francesco Redaelli ...

Series 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 ... Read more

$71.99 USD

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
... Read more

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