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Mathematical Analysis in Interdisciplinary Research

Edited by Ioannis N. Parasidis, Efthimios Providas, Themistocles M. Rassias ...

Series series Mathematics and Statistics (R0)
This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several ... Read more

$985.29 HKD

This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several
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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

$602.90 HKD

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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Free Random Variables

Free Distributions Dictated by the Semicircular Law

by Ilwoo Cho ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Free Random Variables: Free Distributions Dictated by the Semicircular Law is particularly concerned with operators which are not self-adjoint, but whose free distributions are dictated by the semicircular law. The book covers operator-theoretic properties and free-distributional data of such operators and investigates operator-algebraic structures induced by those operators.FeaturesIncludes ... Read more

$1,918.48 HKD

Free Random Variables: Free Distributions Dictated by the Semicircular Law is particularly concerned with operators which are not self-adjoint, but whose free distributions are dictated by the semicircular law. The book covers operator-theoretic properties and free-distributional data of such operators and investigates operator-algebraic structures induced by those operators.FeaturesIncludes
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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

by Joram Lindenstrauss, David Preiss, Jaroslav Tišer ...

Series Book 179 - Annals of Mathematics Studies
This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz ... Read more

$1,511.09 HKD

This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz
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Fixed Point Results in W-Distance Spaces

by Vladimir Rakočević ...

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

$1,840.17 HKD

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
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Esercizi di matematica: vettori e spazi vettoriali

by Simone Malacrida ...

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:vettori e operazioni vettorialispazi vettorialibasi canoniche, ortogonali e ortonormaliSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi. ... Read more

$27.49 HKD

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:vettori e operazioni vettorialispazi vettorialibasi canoniche, ortogonali e ortonormaliSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi.
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Abstract Duality Pairs In Analysis

by Charles W Swartz ...

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

$662.49 HKD

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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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

$831.69 HKD

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
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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

$1,041.42 HKD

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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Classical Newtonian Gravity and Potential Theory

A Comprehensive Introduction, with Examples and Exercises

by Roberto A. Capuzzo Dolcetta ...

Series series Physics and Astronomy (R0)
This book offers a readily comprehensible introduction to classical Newtonian gravitation and potential theory, which are fundamental for understanding classical mechanics and particularly relevant to astrophysics. This enlarged and updated second edition introduces two new chapters, various newly developed exercises, and a comprehensive index. The opening chapter reviews essential elements of ... Read more

$656.89 HKD

This book offers a readily comprehensible introduction to classical Newtonian gravitation and potential theory, which are fundamental for understanding classical mechanics and particularly relevant to astrophysics. This enlarged and updated second edition introduces two new chapters, various newly developed exercises, and a comprehensive index. The opening chapter reviews essential elements of
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Potential Theory

by Lester L. Helms ...

Series series Mathematics and Statistics (R0)
Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops ... Read more

$656.89 HKD

Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops
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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

$211.49 HKD

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
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The Zero Code

by The Zero Code ...

The Zero Code: A Unified Theory of Language, Physics, and MeaningAbstractUsing only ancient ordinal gematria (A=1...Z=26) and derived weight ratios, the entire English lexicon self-organizes into nine resonance tiers governed by digital root (mod 9). Tier 9 exhibits a hyperbolic attractor at w = 13.500 ± 0.4, occupied exclusively by ontological primitives of unity, love, permanence, and wholeness. ... Read more

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The Zero Code: A Unified Theory of Language, Physics, and MeaningAbstractUsing only ancient ordinal gematria (A=1...Z=26) and derived weight ratios, the entire English lexicon self-organizes into nine resonance tiers governed by digital root (mod 9). Tier 9 exhibits a hyperbolic attractor at w = 13.500 ± 0.4, occupied exclusively by ontological primitives of unity, love, permanence, and wholeness.
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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

$1,000.79 HKD

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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Matrici Vettori con applicazioni all'architettura

by Antonio Galli ...

MATRICI VETTORI CON APPLICAZIONI ALL'ARCHITETTURA ... Read more

$95.49 HKD or Free with Kobo Plus

MATRICI VETTORI CON APPLICAZIONI ALL'ARCHITETTURA
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Applications of Tensor Analysis

by A. J. McConnell ...

This standard work applies tensorial methods to subjects within the realm of advanced college mathematics. In its four main divisions, it explains the fundamental ideas and the notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity, and hydrodynamics.Partial ... Read more

$102.29 HKD

This standard work applies tensorial methods to subjects within the realm of advanced college mathematics. In its four main divisions, it explains the fundamental ideas and the notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity, and hydrodynamics.Partial
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Mathematical Foundation of the Boundary Integro-Differential Equation Method

by Houde Han, Dongsheng Yin ...

Series series Mathematics and Statistics (R0)
The book focuses on the mathematical foundations of boundary integro-differential equation method, with a primary focus on reducing the hypersingular integrals in traditional boundary integral equations into boundary integro-differential equations with weak singularities. It briefly introduces the theory of distributions, while the boundary integral equations method is grounded in the fundamental ... Read more

$1,313.69 HKD

The book focuses on the mathematical foundations of boundary integro-differential equation method, with a primary focus on reducing the hypersingular integrals in traditional boundary integral equations into boundary integro-differential equations with weak singularities. It briefly introduces the theory of distributions, while the boundary integral equations method is grounded in the fundamental
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Fixed Point Theory in p-Vector Spaces

by George Xianzhi Yuan ...

This monograph provides an updated development of fixed point theory under a unified framework of the 'best approximation approach' in p-vector spaces, a core component of nonlinear analysis in mathematics, where p∊(0,1] (the same for p below unless specified). This book exposes some important contents of the new fixed point theory, with highlights in four parts.Specifically, the book focuses on ... Read more

$606.19 HKD

This monograph provides an updated development of fixed point theory under a unified framework of the 'best approximation approach' in p-vector spaces, a core component of nonlinear analysis in mathematics, where p∊(0,1] (the same for p below unless specified). This book exposes some important contents of the new fixed point theory, with highlights in four parts.Specifically, the book focuses on
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The Generalized Fourier Series Method

Bending of Elastic Plates

by Christian Constanda, Dale Doty ...

Series series Mathematics and Statistics (R0)
This book explains in detail the generalized Fourier series technique for the approximate solution of a mathematical model governed by a linear elliptic partial differential equation or system with constant coefficients. The power, sophistication, and adaptability of the method are illustrated in application to the theory of plates with transverse shear deformation, chosen because of its ... Read more

$410.49 HKD

This book explains in detail the generalized Fourier series technique for the approximate solution of a mathematical model governed by a linear elliptic partial differential equation or system with constant coefficients. The power, sophistication, and adaptability of the method are illustrated in application to the theory of plates with transverse shear deformation, chosen because of its
... Read more
Vectors and Matrices for Geometric and 3D Modeling

by Michael Mortenson ...

Vectors are perhaps the most important mathematical objects used in modeling and animation. They have the properties of magnitude and direction, and provide visual understanding of model construction and analysis. Matrices are natural and hardworking partners of vectors.This work presents lessons on vectors and matrices in geometric and 3D modeling—the mathematics at the foundation of computer ... Read more

$563.59 HKD

Vectors are perhaps the most important mathematical objects used in modeling and animation. They have the properties of magnitude and direction, and provide visual understanding of model construction and analysis. Matrices are natural and hardworking partners of vectors.This work presents lessons on vectors and matrices in geometric and 3D modeling—the mathematics at the foundation of computer
... Read more
A Short Introduction to Mathematical Concepts in Physics

by Jim Napolitano ...

Mathematics is the language of physics and yet, mathematics is an enormous subject. This textbook provides an accessible and concise introduction to mathematical physics for undergraduate students taking a one semester course.It assumes the reader has studied a year of introductory physics and three semesters of basic calculus, including some vector calculus, but no formal training in differential ... Read more

$626.39 HKD

Mathematics is the language of physics and yet, mathematics is an enormous subject. This textbook provides an accessible and concise introduction to mathematical physics for undergraduate students taking a one semester course.It assumes the reader has studied a year of introductory physics and three semesters of basic calculus, including some vector calculus, but no formal training in differential
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Vector Partitions, Visible Points and Ramanujan Functions

by Geoffrey B. Campbell ...

Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an extension to the existing theory of Integer Partitions. The book is suitable for graduate students in physics, applied mathematics, number theory and computational mathematics. It takes the reader up to ... Read more

$1,918.48 HKD

Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an extension to the existing theory of Integer Partitions. The book is suitable for graduate students in physics, applied mathematics, number theory and computational mathematics. It takes the reader up to
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Brakke's Mean Curvature Flow

An Introduction

by Yoshihiro Tonegawa ...

Series series Mathematics and Statistics (R0)
This book explains the notion of Brakke’s mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory. The focus of study is a time-parameterized family of k-dimensional surfaces in the n-dimensional Euclidean space (1 ≤ k n). The family is the mean curvature flow if the velocity of motion of surfaces is given by the mean curvature at ... Read more

$615.79 HKD

This book explains the notion of Brakke’s mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory. The focus of study is a time-parameterized family of k-dimensional surfaces in the n-dimensional Euclidean space (1 ≤ k n). The family is the mean curvature flow if the velocity of motion of surfaces is given by the mean curvature at
... Read more
Vector Analysis

by Homer E. Newell Jr. ...

Series series Dover Books on Mathematics
When employed with skill and understanding, vector analysis can be a practical and powerful tool. This text develops the algebra and calculus of vectors in a manner useful to physicists and engineers. Numerous exercises (with answers) not only provide practice in manipulation but also help establish students' physical and geometric intuition in regard to vectors and vector concepts.Part I, the ... Read more

$90.19 HKD

When employed with skill and understanding, vector analysis can be a practical and powerful tool. This text develops the algebra and calculus of vectors in a manner useful to physicists and engineers. Numerous exercises (with answers) not only provide practice in manipulation but also help establish students' physical and geometric intuition in regard to vectors and vector concepts.Part I, the
... Read more

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Recommended For You

Vector Analysis eBooks

Mathematical Analysis in Interdisciplinary Research

Calculus On Manifolds

Free Random Variables

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

Fixed Point Results in W-Distance Spaces

Esercizi di matematica: vettori e spazi vettoriali

Abstract Duality Pairs In Analysis

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

Vector Analysis and Cartesian Tensors, Third edition

Classical Newtonian Gravity and Potential Theory

Potential Theory

Undergraduate Convexity: Problems And Solutions

The Zero Code

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

Matrici Vettori con applicazioni all'architettura

Applications of Tensor Analysis

Mathematical Foundation of the Boundary Integro-Differential Equation Method

Fixed Point Theory in p-Vector Spaces

The Generalized Fourier Series Method

Vectors and Matrices for Geometric and 3D Modeling

A Short Introduction to Mathematical Concepts in Physics

Vector Partitions, Visible Points and Ramanujan Functions

Brakke's Mean Curvature Flow

Vector Analysis