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Mathematical Analysis in Interdisciplinary Research

Modifié par Ioannis N. Parasidis, Efthimios Providas, Themistocles M. Rassias ...

Collection 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 ... En savoir plus

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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

par 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 ... En savoir plus

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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

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par Ilwoo Cho ...

Collection 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 ... En savoir plus

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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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Collection Livre 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 ... En savoir plus

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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

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Collection 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 ... En savoir plus

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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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Potential Theory

par Lester L. Helms ...

Collection 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 ... En savoir plus

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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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Esercizi di matematica: vettori e spazi vettoriali

par 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. ... En savoir plus

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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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Collection Livre 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 ... En savoir plus

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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

par 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 ... En savoir plus

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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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Undergraduate Convexity: Problems And Solutions

par 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 ... En savoir plus

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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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Appunti di Analisi vettoriale con esercizi svolti

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An Invitation to Geomathematics

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Collection 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 ... En savoir plus

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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
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Harnack Inequalities and Nonlinear Operators

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Collection series Springer Nature Proceedings excluding Computer Science
The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack’s inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at “Il Palazzone” in Cortona from June 18th ... En savoir plus

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The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack’s inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at “Il Palazzone” in Cortona from June 18th
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Recent Advances in Approximation and Potential Theory

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Modifié par Dmitriy Bilyk, Emil Iacob, Andrei Martinez-Finkelshtein, Alexander M. Stokolos ...

Collection 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. ... En savoir plus

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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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Classical Fine Potential Theory

par Mohamed El Kadiri, Bent Fuglede ...

Collection series Mathematics and Statistics (R0)
This comprehensive book explores the intricate realm of fine potential theory. Delving into the real theory, it navigates through harmonic and subharmonic functions, addressing the famed Dirichlet problem within finely open sets of R^n. These sets are defined relative to the coarsest topology on R^n, ensuring the continuity of all subharmonic functions. This theory underwent extensive scrutiny ... En savoir plus

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This comprehensive book explores the intricate realm of fine potential theory. Delving into the real theory, it navigates through harmonic and subharmonic functions, addressing the famed Dirichlet problem within finely open sets of R^n. These sets are defined relative to the coarsest topology on R^n, ensuring the continuity of all subharmonic functions. This theory underwent extensive scrutiny
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Pluripotential Theory

Cetraro, Italy 2011, Editors: Filippo Bracci, John Erik Fornæss

par Giorgio Patrizio, Zbigniew Błocki, Francois Berteloot, Jean Pierre Demailly, Filippo Bracci, John Erik Fornæss ...

Collection series Mathematics and Statistics (R0)
Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Ampére equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions ... En savoir plus

CHF 53.14

Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Ampére equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions
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Multivariate Calculus

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This book is a compilation of all basic topics on functions of Several Variables and is primarily meant for undergraduate and post graduate students.Topics covered are:Limits, continuities and differentiabilities of functions of several variables.Properties of Implicit functions and Jacobians.Extreme values of multivariate functions.Various types of integrals in planes and surfaces and their ... En savoir plus

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This book is a compilation of all basic topics on functions of Several Variables and is primarily meant for undergraduate and post graduate students.Topics covered are:Limits, continuities and differentiabilities of functions of several variables.Properties of Implicit functions and Jacobians.Extreme values of multivariate functions.Various types of integrals in planes and surfaces and their
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Introdução ao Cálculo Vetorial e Matricial

par 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. ... En savoir plus

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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.
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Introduction au calcul vectoriel et matriciel

par 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. ... En savoir plus

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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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Introduction to Vector and Tensor Analysis

par Robert C. Wrede ...

Collection 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 ... En savoir plus

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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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Arcabouço Analítico De Inteligência Estratégica Baseado Em Ifá Mia E Irbi

par Marcelo Ramao Da Silveira Barbosa ...

Em ** Arcabouço Analítico de Inteligência Estratégica Baseado em Ifá **, os autores reposicionam Ifá não como oráculo ou crença, mas como um **sistema computacional ancestral** de inteligência aplicada. A obra introduz o **Método Integral de Análise (MIA)**, que opera através de três lentes: - **Vetorial**: Analisa forças em 8 domínios (espiritual, material, governança, etc.). - **Senoidal**: ... En savoir plus

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Em ** Arcabouço Analítico de Inteligência Estratégica Baseado em Ifá **, os autores reposicionam Ifá não como oráculo ou crença, mas como um **sistema computacional ancestral** de inteligência aplicada. A obra introduz o **Método Integral de Análise (MIA)**, que opera através de três lentes: - **Vetorial**: Analisa forças em 8 domínios (espiritual, material, governança, etc.). - **Senoidal**:
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Problems and Worked Solutions in Vector Analysis

par L.R. Shorter ...

Collection series Dover Books on Mathematics
"A handy book like this," noted The Mathematical Gazette, "will fill a great want." Devoted to fully worked out examples, this unique text constitutes a self-contained introductory course in vector analysis for undergraduate and graduate students of applied mathematics.Opening chapters define vector addition and subtraction, show how to resolve and determine the direction of two or more vectors, ... En savoir plus

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"A handy book like this," noted The Mathematical Gazette, "will fill a great want." Devoted to fully worked out examples, this unique text constitutes a self-contained introductory course in vector analysis for undergraduate and graduate students of applied mathematics.Opening chapters define vector addition and subtraction, show how to resolve and determine the direction of two or more vectors,
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Vector Analysis

par Louis Brand ...

Collection 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 ... En savoir plus

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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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Esercizi di matematica: vettori e spazi vettoriali

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