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Vector

A surprising story of space, time, and mathematical transformation

by Robyn Arianrhod ...

**Winner, NSW History Awards 2025, General History Prize**'The story I'll tell here is about the evolution of the way we humans record and make sense of all the data that swirl around us...'Vector takes readers on an extraordinary 5000-year journey through the human imagination. The stars of this book, vectors and tensors, are unlikely celebrities. Yet mathematician and science writer Robyn ... Read more

$17.99 AUD

**Winner, NSW History Awards 2025, General History Prize**'The story I'll tell here is about the evolution of the way we humans record and make sense of all the data that swirl around us...'Vector takes readers on an extraordinary 5000-year journey through the human imagination. The stars of this book, vectors and tensors, are unlikely celebrities. Yet mathematician and science writer Robyn
... Read more
Vector Analysis and Quaternions

by Alexander Macfarlane ...

Vector Analysis and Quaternions by Alexander MacfarlaneBy “Vector Analysis” is meant a space analysis in which the vector is the fundamental idea; by “Quaternions” is meant a space-analysis in which the quaternion is the fundamental idea. They are in truth complementary parts of one whole; and in this chapter they will be treated as such, and developed so as to harmonize with one another and with ... Read more

$4.59 AUD

Vector Analysis and Quaternions by Alexander MacfarlaneBy “Vector Analysis” is meant a space analysis in which the vector is the fundamental idea; by “Quaternions” is meant a space-analysis in which the quaternion is the fundamental idea. They are in truth complementary parts of one whole; and in this chapter they will be treated as such, and developed so as to harmonize with one another and with
... Read more
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

$1.44 AUD

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
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

$80.99 AUD

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
Undergraduate Convexity: Problems And Solutions

by Mikkel Slot Nielsen, Victor Ulrich Rohde ...

This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. Several solutions are accompanied by detailed illustrations and intuitive explanations. This book will pave the way for students to easily grasp the multitude of solution methods and aspects of convex sets and convex functions. Companion Textbook here ... Read more

$41.99 AUD

This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. Several solutions are accompanied by detailed illustrations and intuitive explanations. This book will pave the way for students to easily grasp the multitude of solution methods and aspects of convex sets and convex functions. Companion Textbook here
... 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

$197.99 AUD

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

$5.99 AUD 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

$5.49 AUD

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

$106.99 AUD

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
Distributions, Partial Differential Equations, and Harmonic Analysis

by Dorina Mitrea ...

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

$98.99 AUD

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
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

$58.99 AUD

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

$269.99 AUD

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
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

$76.99 AUD

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
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

$143.99 AUD

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

$80.99 AUD

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
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

$5.49 AUD

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
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

$76.99 AUD

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

$215.99 AUD

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
The E. M. Stein Lectures on Hardy Spaces

by Steven G. Krantz ...

Series 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 ... Read more

$89.99 AUD

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
... 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

$76.99 AUD

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
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

$188.99 AUD

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

$58.99 AUD

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
Appunti di Analisi vettoriale con esercizi svolti

by Marcello Colozzo ...

Molti argomenti di Analisi vettoriale vengono trattati nel corso di Analisi matematica 2, con la differenza che teoremi, proposizioni e proprietà, sono elaborate nel potente paradigma vettoriale, che a sua volta consente l'applicazione immediata in Fisica.Gli argomenti pur essendo tipici, sono presentati in maniera atipica (quindi non presente su altri testi), facendo spesso riferimento a problemi ... Read more

$1.99 AUD or Free with Kobo Plus

Molti argomenti di Analisi vettoriale vengono trattati nel corso di Analisi matematica 2, con la differenza che teoremi, proposizioni e proprietà, sono elaborate nel potente paradigma vettoriale, che a sua volta consente l'applicazione immediata in Fisica.Gli argomenti pur essendo tipici, sono presentati in maniera atipica (quindi non presente su altri testi), facendo spesso riferimento a problemi
... Read more
An Invitation to Geomathematics

by Willi Freeden, Clemens Heine, M. Zuhair Nashed ...

Series series Lecture Notes in Geosystems Mathematics and Computing
The authors introduce geomathematics as an active research area to a wider audience.Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa.In the second chapter geomathematics is introduced as a new scientific area which nevertheless has its roots in antiquity. The modern conception of ... Read more

$81.99 AUD

The authors introduce geomathematics as an active research area to a wider audience.Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa.In the second chapter geomathematics is introduced as a new scientific area which nevertheless has its roots in antiquity. The modern conception of
... Read more

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