Minimal Surfaces Integrable Systems And Visualisation

Author : Tim Hoffmann,Martin Kilian,Katrin Leschke,Francisco Martin
Publisher : Springer Nature
Page : 280 pages
File Size : 41,9 Mb
Release : 2021-05-06
Category : Mathematics
ISBN : 9783030685416

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Minimal Surfaces: Integrable Systems and Visualisation by Tim Hoffmann,Martin Kilian,Katrin Leschke,Francisco Martin Pdf

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.

Author : Tim Hoffmann,Martin Kilian,Katrin Leschke,Francisco Martin
Publisher : Unknown
Page : 0 pages
File Size : 48,6 Mb
Release : 2021
Category : Electronic
ISBN : 303068542X

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Minimal Surfaces: Integrable Systems and Visualisation by Tim Hoffmann,Martin Kilian,Katrin Leschke,Francisco Martin Pdf

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. .

Author : Antonio Alarcón,Vicente Palmer,César Rosales
Publisher : Springer Nature
Page : 398 pages
File Size : 42,8 Mb
Release : 2023-11-25
Category : Mathematics
ISBN : 9783031399169

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New Trends in Geometric Analysis by Antonio Alarcón,Vicente Palmer,César Rosales Pdf

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.

Author : Eberhard Malkowsky,Ćemal Dolićanin,Vesna Veličković
Publisher : CRC Press
Page : 640 pages
File Size : 50,5 Mb
Release : 2023-08-30
Category : Mathematics
ISBN : 9781000926002

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Differential Geometry and Its Visualization by Eberhard Malkowsky,Ćemal Dolićanin,Vesna Veličković Pdf

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.

Author : Bennett Chow
Publisher : American Mathematical Society
Page : 358 pages
File Size : 45,7 Mb
Release : 2023-09-26
Category : Mathematics
ISBN : 9781470474287

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Ricci Solitons in Low Dimensions by Bennett Chow Pdf

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.

Author : H.-C. Hege,K. Polthier
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642591952

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Visualization and Mathematics by H.-C. Hege,K. Polthier Pdf

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.

Author : William Meeks,Joaquín Pérez
Publisher : American Mathematical Soc.
Page : 195 pages
File Size : 49,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869123

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A Survey on Classical Minimal Surface Theory by William Meeks,Joaquín Pérez Pdf

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).

Author : Alexander I. Bobenko TU Berlin,Peter Schröder,John M. Sullivan,Günter M. Ziegler
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 46,9 Mb
Release : 2008-03-27
Category : Mathematics
ISBN : 9783764386214

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Discrete Differential Geometry by Alexander I. Bobenko TU Berlin,Peter Schröder,John M. Sullivan,Günter M. Ziegler Pdf

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.

Author : A. T. Fomenko
Publisher : Mithec
Page : 634 pages
File Size : 41,7 Mb
Release : 2006
Category : Chronology, Historical
ISBN : 9782913621077

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History: fiction or science?. Chronology 1 by A. T. Fomenko Pdf

The author contends that all generaly accepted historical chronology prior to the 16th century is inaccurate, often off by many hundreds or even thousands of years. Volume 1 of a proposed seven volumes.

Author : Tosiyasu L. Kunii,Yoshihisa Shinagawa
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9784431682073

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Modern Geometric Computing for Visualization by Tosiyasu L. Kunii,Yoshihisa Shinagawa Pdf

This volume is on "modem geometric computing for visualization" which is at the forefront of multi-disciplinary advanced research areas. This area is attracting intensive research interest across many application fields: singularity in cosmology, turbulence in ocean engineering, high energy physics, molecular dynamics, environmental problems, modem mathe matics, computer graphics, and pattern recognition. Visualization re quires the computation of displayable shapes which are becoming more and more complex in proportion to the complexity of the objects and phenomena visualized. Fast computation requires information locality. Attaining information locality is achieved through characterizing the shapes in geometry and topology, and the large amount of computation required through the use of supercomputers. This volume contains the initial results of our efforts to satisfy these re quirements by inviting experts and selecting new research works through review processes. To be more specific, this book presents the proceedings of the International Workshop on Modem Geometric Computing for Visualization held at Kogakuin University, Tokyo, Japan, June 29-30, 1992 organized by the Computer Graphics Society, Japan Personal Com puter Software Association, Kogakuin University, and the Department of Information Science, Faculty of Science, The University of Tokyo. We received extremely high-quality papers for review from five different countries, one from Australia, one from Italy, four from Japan, one from Singapore and three from the United States, and we accepted eight papers and rejected two.

Author : Robert T. Sharp,Pavel Winternitz
Publisher : American Mathematical Soc.
Page : 260 pages
File Size : 42,7 Mb
Release : 2004-01-01
Category : Science
ISBN : 0821870297

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Symmetry in Physics by Robert T. Sharp,Pavel Winternitz Pdf

Papers in this volume are based on the Workshop on Symmetries in Physics held at the Centre de recherches mathematiques (University of Montreal) in memory of Robert T. Sharp. Contributed articles are on a variety of topics revolving around the theme of symmetry in physics. The preface presents a biographical and scientific retrospect of the life and work of Robert Sharp. Other articles in the volume represent his diverse range of interests, including representation theoretic methods for Lie algebras, quantization techniques and foundational considerations, modular group invariants and applications to conformal models, various physical models and equations, geometric calculations with symmetries, and pedagogical methods for developing spatio-temporal intuition. The book is suitable for graduate students and researchers interested in group theoretic methods, symmetries, and mathematical physics.

Author : Anonim
Publisher : Unknown
Page : 538 pages
File Size : 49,6 Mb
Release : 2017
Category : Mathematics
ISBN : UGA:32108058493951

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Hokkaido Mathematical Journal by Anonim Pdf

Author : Kenneth Stephenson
Publisher : Cambridge University Press
Page : 380 pages
File Size : 48,7 Mb
Release : 2005-04-18
Category : Mathematics
ISBN : 0521823560

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Introduction to Circle Packing by Kenneth Stephenson Pdf

Publisher Description

Author : Alexander I. Bobenko
Publisher : Springer
Page : 441 pages
File Size : 41,8 Mb
Release : 2016-08-12
Category : Mathematics
ISBN : 9783662504475

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Advances in Discrete Differential Geometry by Alexander I. Bobenko Pdf

This is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. The authors take a closer look at discrete models in differential geometry and dynamical systems. Their curves are polygonal, surfaces are made from triangles and quadrilaterals, and time is discrete. Nevertheless, the difference between the corresponding smooth curves, surfaces and classical dynamical systems with continuous time can hardly be seen. This is the paradigm of structure-preserving discretizations. Current advances in this field are stimulated to a large extent by its relevance for computer graphics and mathematical physics. This book is written by specialists working together on a common research project. It is about differential geometry and dynamical systems, smooth and discrete theories, and on pure mathematics and its practical applications. The interaction of these facets is demonstrated by concrete examples, including discrete conformal mappings, discrete complex analysis, discrete curvatures and special surfaces, discrete integrable systems, conformal texture mappings in computer graphics, and free-form architecture. This richly illustrated book will convince readers that this new branch of mathematics is both beautiful and useful. It will appeal to graduate students and researchers in differential geometry, complex analysis, mathematical physics, numerical methods, discrete geometry, as well as computer graphics and geometry processing.

Author : Áurea Casinhas Quintino
Publisher : Cambridge University Press
Page : 261 pages
File Size : 48,5 Mb
Release : 2021-06-10
Category : Mathematics
ISBN : 9781108794428

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Constrained Willmore Surfaces by Áurea Casinhas Quintino Pdf

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