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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

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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
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The Zero Code

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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. ... 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

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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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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

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

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Matemáticas para ingeniería 3

by José López Olate, Gabriela Miranda Carrasco, Jorge Ovalle Ovalle ...

Este libro constituye el tercer volumen de la serie "Matemáticas para Ingeniería", que se centra en el cálculo diferencial e integral de funciones de varias variables, además del cálculo vectorial. Estas áreas proporcionan a los ingenieros e ingenieras las herramientas matemáticas esenciales para modelar, analizar y resolver problemas complejos en distintos campos de la ingeniería, entre los que ... Read more

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Este libro constituye el tercer volumen de la serie "Matemáticas para Ingeniería", que se centra en el cálculo diferencial e integral de funciones de varias variables, además del cálculo vectorial. Estas áreas proporcionan a los ingenieros e ingenieras las herramientas matemáticas esenciales para modelar, analizar y resolver problemas complejos en distintos campos de la ingeniería, entre los que
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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

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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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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

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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
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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

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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

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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

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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

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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
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Einführung in Vektoren, Matrizen und Tensoren

by Simone Malacrida ...

Die theoretischen Annahmen der folgenden mathematischen Themen werden in diesem Buch vorgestellt:Vektoren und VektorrechnungMatrizen und MatrizenrechnungVektor- und MatrixräumeMathematik und Tensorrechnung ... Read more

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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

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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
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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

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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

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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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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

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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
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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

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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

Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto

Edited by Vincenzo Vespri, Ugo Gianazza, Dario Daniele Monticelli, Fabio Punzo, Daniele Andreucci ...

Series 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 ... Read more

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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

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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Classical Fine Potential Theory

by Mohamed El Kadiri, Bent Fuglede ...

Series 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 ... Read more

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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

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

Series 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 ... Read more

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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

by Samiran Karmakar, Sibdas Karmakar ...

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 ... Read more

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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
... Read more
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
... Read more
Geometry of PDEs and Related Problems

Cetraro, Italy 2017

by Xavier Cabré, Antoine Henrot, Daniel Peralta-Salas, Wolfgang Reichel, Henrik Shahgholian ...

Series series Mathematics and Statistics (R0)
The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references.Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held ... Read more

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The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references.Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held
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Vector Analysis eBooks

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Matemáticas para ingeniería 3

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Appunti di Analisi vettoriale con esercizi svolti

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