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Minimal Surfaces Integrable Systems And Visualisation


Minimal Surfaces Integrable Systems And Visualisation
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Minimal Surfaces Integrable Systems And Visualisation


Minimal Surfaces Integrable Systems And Visualisation
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Author : Tim Hoffmann
language : en
Publisher: Springer Nature
Release Date : 2021-05-06

Minimal Surfaces Integrable Systems And Visualisation written by Tim Hoffmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-06 with Mathematics categories.


This book collects original peer-reviewed contributions to the conferences organised by the international research network “Minimal surfaces: Integrable Systems and Visualization” financed by the Leverhulme Trust. The conferences took place in Cork, Granada, Munich and Leicester between 2016 and 2019. Within the theme of the network, the presented articles cover a broad range of topics and explore exciting links between problems related to the mean curvature of surfaces in homogeneous 3-manifolds, like minimal surfaces, CMC surfaces and mean curvature flows, integrable systems and visualisation. Combining research and overview articles by prominent international researchers, the book offers a valuable resource for both researchers and students who are interested in this research area.



Minimal Surfaces Integrable Systems And Visualisation


Minimal Surfaces Integrable Systems And Visualisation
DOWNLOAD
Author : Tim Hoffmann
language : en
Publisher:
Release Date : 2021

Minimal Surfaces Integrable Systems And Visualisation written by Tim Hoffmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.


This book collects original peer-reviewed contributions to the conferences organised by the international research network "Minimal surfaces: Integrable Systems and Visualization" financed by the Leverhulme Trust. The conferences took place in Cork, Granada, Munich and Leicester between 2016 and 2019. Within the theme of the network, the presented articles cover a broad range of topics and explore exciting links between problems related to the mean curvature of surfaces in homogeneous 3-manifolds, like minimal surfaces, CMC surfaces and mean curvature flows, integrable systems and visualisation. Combining research and overview articles by prominent international researchers, the book offers a valuable resource for both researchers and students who are interested in this research area. .



New Trends In Geometric Analysis


New Trends In Geometric Analysis
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Author : Antonio Alarcón
language : en
Publisher: Springer Nature
Release Date : 2023-10-18

New Trends In Geometric Analysis written by Antonio Alarcón and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-18 with Mathematics categories.


The aim of this book is to provide an overview of some of the progress made by the Spanish Network of Geometric Analysis (REAG, by its Spanish acronym) since its born in 2007. REAG was created with the objective of enabling the interchange of ideas and the knowledge transfer between several Spanish groups having Geometric Analysis as a common research line. This includes nine groups at Universidad Autónoma de Barcelona, Universidad Autónoma de Madrid, Universidad de Granada, Universidad Jaume I de Castellón, Universidad de Murcia, Universidad de Santiago de Compostela and Universidad de Valencia. The success of REAG has been substantiated with regular meetings and the publication of research papers obtained in collaboration between the members of different nodes. On the occasion of the 15th anniversary of REAG this book aims to collect some old and new contributions of this network to Geometric Analysis. The book consists of thirteen independent chapters, all of them authored by current members of REAG. The topics under study cover geometric flows, constant mean curvature surfaces in Riemannian and sub-Riemannian spaces, integral geometry, potential theory and Riemannian geometry, among others. Some of these chapters have been written in collaboration between members of different nodes of the network, and show the fruitfulness of the common research atmosphere provided by REAG. The rest of the chapters survey a research line or present recent progresses within a group of those forming REAG. Surveying several research lines and offering new directions in the field, the volume is addressed to researchers (including postdocs and PhD students) in Geometric Analysis in the large.



Differential Geometry And Its Visualization


Differential Geometry And Its Visualization
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Author : Eberhard Malkowsky
language : en
Publisher: CRC Press
Release Date : 2023-08-30

Differential Geometry And Its Visualization written by Eberhard Malkowsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-30 with Mathematics categories.


Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers. It can also be used as a supplementary reference for research in mathematics and the natural and engineering sciences. Differential geometry is the study of geometric objects and their properties using the methods of mathematical analysis. The classical theory of curves and surfaces in three-dimensional Euclidean space is presented in the first three chapters. The abstract and modern topics of tensor algebra, Riemannian spaces and tensor analysis are studied in the last two chapters. A great number of illustrating examples, visualizations and genuine figures created by the authors’ own software are included to support the understanding of the presented concepts and results, and to develop an adequate perception of the shapes of geometric objects, their properties and the relations between them. Features Extensive, full colour visualisations. Numerous exercises. Self-contained and comprehensive treatment of the topic.



Ricci Solitons In Low Dimensions


Ricci Solitons In Low Dimensions
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Author : Bennett Chow
language : en
Publisher: American Mathematical Society
Release Date : 2023-09-26

Ricci Solitons In Low Dimensions written by Bennett Chow and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-26 with Mathematics categories.


Ricci flow is an exciting subject of mathematics with diverse applications in geometry, topology, and other fields. It employs a heat-type equation to smooth an initial Riemannian metric on a manifold. The formation of singularities in the manifold's topology and geometry is a desirable outcome. Upon closer examination, these singularities often reveal intriguing structures known as Ricci solitons. This introductory book focuses on Ricci solitons, shedding light on their role in understanding singularity formation in Ricci flow and formulating surgery-based Ricci flow, which holds potential applications in topology. Notably successful in dimension 3, the book narrows its scope to low dimensions: 2 and 3, where the theory of Ricci solitons is well established. A comprehensive discussion of this theory is provided, while also establishing the groundwork for exploring Ricci solitons in higher dimensions. A particularly exciting area of study involves the potential applications of Ricci flow in comprehending the topology of 4-dimensional smooth manifolds. Geared towards graduate students who have completed a one-semester course on Riemannian geometry, this book serves as an ideal resource for related courses or seminars centered on Ricci solitons.



Visualization And Mathematics


Visualization And Mathematics
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Author : H.-C. Hege
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Visualization And Mathematics written by H.-C. Hege and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Visualization and mathematics have begun a fruitful relationship, establishing links between problems and solutions of both fields. In some areas of mathematics, like differential geometry and numerical mathematics, visualization techniques are applied with great success. However, visualization methods are relying heavily on mathematical concepts. Applications of visualization in mathematical research and the use of mathematical methods in visualization have been topic of an international workshop in Berlin in June 1995. Selected contributions treat topics of particular interest in current research. Experts are reporting on their latest work, giving an overview on this fascinating new area. The reader will get insight to state-of-the-art techniques for solving visualization problems and mathematical questions.



A Survey On Classical Minimal Surface Theory


A Survey On Classical Minimal Surface Theory
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Author : William Meeks
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

A Survey On Classical Minimal Surface Theory written by William Meeks and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


Meeks and Pérez extend their 2011 survey article "The classical theory of Minimal surfaces" in the Bulletin of the American Mathematical Society to include other recent research results. Their topics include minimal surfaces with finite topology and more than one end, limits of embedded minimal surfaces without local area or curvature bounds, conformal structure of minimal surfaces, embedded minimal surfaces of finite genus, topological aspects of minimal surfaces, and Calabi-Yau problems. There is no index. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com).



Constrained Willmore Surfaces


Constrained Willmore Surfaces
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Author : Áurea Casinhas Quintino
language : en
Publisher: Cambridge University Press
Release Date : 2021-06-10

Constrained Willmore Surfaces written by Áurea Casinhas Quintino and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-10 with Mathematics categories.


From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvature surfaces.



Discrete Differential Geometry


Discrete Differential Geometry
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Author : Alexander I. Bobenko TU Berlin
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-27

Discrete Differential Geometry written by Alexander I. Bobenko TU Berlin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-27 with Mathematics categories.


This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. The carefully edited collection of essays gives a lively, multi-facetted introduction to this emerging field.



History Fiction Or Science


History Fiction Or Science
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Author : A. T. Fomenko
language : en
Publisher: Mithec
Release Date : 2005

History Fiction Or Science written by A. T. Fomenko and has been published by Mithec this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with History categories.


The author posits that all generally accepted chronology before the 16th century is in error by hundreds or thousands of years.