Willmore Energy And Willmore Conjecture

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Willmore Energy and Willmore Conjecture

Author : Magdalena D. Toda
Publisher : CRC Press
ISBN 13 : 1498744648
Total Pages : 157 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Willmore Energy and Willmore Conjecture by : Magdalena D. Toda

Download or read book Willmore Energy and Willmore Conjecture written by Magdalena D. Toda and published by CRC Press. This book was released on 2017-10-30 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry. Rather than reproducing published results, it presents new directions, developments and open problems. It addresses questions like: What is new in Willmore theory? Are there any new Willmore conjectures and open problems? What are the contemporary applications of Willmore surfaces? As well as mathematicians and physicists, this book is a useful tool for postdoctoral researchers and advanced graduate students working in this area.

Willmore Energy and Willmore Conjecture

Author : Magdalena Toda
Publisher :
ISBN 13 : 9781315151830
Total Pages : 141 pages
Book Rating : 4.1/5 (518 download)

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Book Synopsis Willmore Energy and Willmore Conjecture by : Magdalena Toda

Download or read book Willmore Energy and Willmore Conjecture written by Magdalena Toda and published by . This book was released on 2018 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry. Rather than reproducing published results, it presents new directions, developments and open problems. It addresses questions like: What is new in Willmore theory? Are there any new Willmore conjectures and open problems? What are the contemporary applications of Willmore surfaces?As well as mathematicians and physicists, this book is a useful tool for postdoctoral researchers and advanced graduate students working in this area. "--Provided by publisher.

Topics in Modern Regularity Theory

Author : Giuseppe Mingione
Publisher : Springer Science & Business Media
ISBN 13 : 887642427X
Total Pages : 211 pages
Book Rating : 4.8/5 (764 download)

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Book Synopsis Topics in Modern Regularity Theory by : Giuseppe Mingione

Download or read book Topics in Modern Regularity Theory written by Giuseppe Mingione and published by Springer Science & Business Media. This book was released on 2012-04-26 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held in Pisa and Parma in the years 2009 and 2010. The contributors, Nicola Fusco, Tristan Rivière and Reiner Schätzle, provide three updated and extensive introductions to various aspects of modern Regularity Theory concerning: mathematical modelling of thin films and related free discontinuity problems, analysis of conformally invariant variational problems via conservation laws, and the analysis of the Willmore functional. Each contribution begins with a very comprehensive introduction, and is aimed to take the reader from the introductory aspects of the subject to the most recent developments of the theory.

Constrained Willmore Surfaces

Author : Áurea Casinhas Quintino
Publisher : Cambridge University Press
ISBN 13 : 1108794424
Total Pages : 261 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Constrained Willmore Surfaces by : Áurea Casinhas Quintino

Download or read book Constrained Willmore Surfaces written by Áurea Casinhas Quintino and published by Cambridge University Press. This book was released on 2021-06-10 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvature surfaces.

Geometric Analysis

Author : Hubert L. Bray
Publisher : American Mathematical Soc.
ISBN 13 : 1470423138
Total Pages : 456 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Geometric Analysis by : Hubert L. Bray

Download or read book Geometric Analysis written by Hubert L. Bray and published by American Mathematical Soc.. This book was released on 2016-05-18 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes expanded versions of the lectures delivered in the Graduate Minicourse portion of the 2013 Park City Mathematics Institute session on Geometric Analysis. The papers give excellent high-level introductions, suitable for graduate students wishing to enter the field and experienced researchers alike, to a range of the most important areas of geometric analysis. These include: the general issue of geometric evolution, with more detailed lectures on Ricci flow and Kähler-Ricci flow, new progress on the analytic aspects of the Willmore equation as well as an introduction to the recent proof of the Willmore conjecture and new directions in min-max theory for geometric variational problems, the current state of the art regarding minimal surfaces in R3, the role of critical metrics in Riemannian geometry, and the modern perspective on the study of eigenfunctions and eigenvalues for Laplace–Beltrami operators.

Minimal Surfaces: Integrable Systems and Visualisation

Author : Tim Hoffmann
Publisher : Springer Nature
ISBN 13 : 3030685411
Total Pages : 280 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Minimal Surfaces: Integrable Systems and Visualisation by : Tim Hoffmann

Download or read book Minimal Surfaces: Integrable Systems and Visualisation written by Tim Hoffmann and published by Springer Nature. This book was released on 2021-05-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Congress of the Americas

Author : Jimmy Petean
Publisher : American Mathematical Soc.
ISBN 13 : 1470423103
Total Pages : 201 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Congress of the Americas by : Jimmy Petean

Download or read book Mathematical Congress of the Americas written by Jimmy Petean and published by American Mathematical Soc.. This book was released on 2016-01-25 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the First Mathematical Congress of the Americas, held from August 5-9, 2013, in Guanajuato, México. With the participation of close to 1,000 researchers from more than 40 countries, the meeting set a benchmark for mathematics in the two continents. The papers, written by some of the plenary and invited speakers, as well as winners of MCA awards, cover new developments in classic topics such as Hopf fibrations, minimal surfaces, and Markov processes, and provide recent insights on combinatorics and geometry, isospectral spherical space forms, homogenization on manifolds, and Lagrangian cobordism, as well as applications to physics and biology.

Geometric Measure Theory

Author : Frank Morgan
Publisher : Academic Press
ISBN 13 : 0128045272
Total Pages : 272 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Geometric Measure Theory by : Frank Morgan

Download or read book Geometric Measure Theory written by Frank Morgan and published by Academic Press. This book was released on 2016-05-02 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Measure Theory: A Beginner's Guide, Fifth Edition provides the framework readers need to understand the structure of a crystal, a soap bubble cluster, or a universe. The book is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Brevity, clarity, and scope make this classic book an excellent introduction to more complex ideas from geometric measure theory and the calculus of variations for beginning graduate students and researchers. Morgan emphasizes geometry over proofs and technicalities, providing a fast and efficient insight into many aspects of the subject, with new coverage to this edition including topical coverage of the Log Convex Density Conjecture, a major new theorem at the center of an area of mathematics that has exploded since its appearance in Perelman's proof of the Poincaré conjecture, and new topical coverage of manifolds taking into account all recent research advances in theory and applications. Focuses on core geometry rather than proofs, paving the way to fast and efficient insight into an extremely complex topic in geometric structures Enables further study of more advanced topics and texts Demonstrates in the simplest possible way how to relate concepts of geometric analysis by way of algebraic or topological techniques Contains full topical coverage of The Log-Convex Density Conjecture Comprehensively updated throughout

What's Happening in the Mathematical Sciences

Author : Barry Cipra
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890431
Total Pages : 108 pages
Book Rating : 4.8/5 (94 download)

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Book Synopsis What's Happening in the Mathematical Sciences by : Barry Cipra

Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

Introduction to Möbius Differential Geometry

Author : Udo Hertrich-Jeromin
Publisher : Cambridge University Press
ISBN 13 : 9780521535694
Total Pages : 436 pages
Book Rating : 4.5/5 (356 download)

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Book Synopsis Introduction to Möbius Differential Geometry by : Udo Hertrich-Jeromin

Download or read book Introduction to Möbius Differential Geometry written by Udo Hertrich-Jeromin and published by Cambridge University Press. This book was released on 2003-08-14 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere.

Surfaces in Classical Geometries

Author : Gary R. Jensen
Publisher : Springer
ISBN 13 : 3319270761
Total Pages : 571 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Surfaces in Classical Geometries by : Gary R. Jensen

Download or read book Surfaces in Classical Geometries written by Gary R. Jensen and published by Springer. This book was released on 2016-04-20 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for intermediate graduate studies, this text will broaden students' core knowledge of differential geometry providing foundational material to relevant topics in classical differential geometry. The method of moving frames, a natural means for discovering and proving important results, provides the basis of treatment for topics discussed. Its application in many areas helps to connect the various geometries and to uncover many deep relationships, such as the Lawson correspondence. The nearly 300 problems and exercises range from simple applications to open problems. Exercises are embedded in the text as essential parts of the exposition. Problems are collected at the end of each chapter; solutions to select problems are given at the end of the book. Mathematica®, MatlabTM, and Xfig are used to illustrate selected concepts and results. The careful selection of results serves to show the reader how to prove the most important theorems in the subject, which may become the foundation of future progress. The book pursues significant results beyond the standard topics of an introductory differential geometry course. A sample of these results includes the Willmore functional, the classification of cyclides of Dupin, the Bonnet problem, constant mean curvature immersions, isothermic immersions, and the duality between minimal surfaces in Euclidean space and constant mean curvature surfaces in hyperbolic space. The book concludes with Lie sphere geometry and its spectacular result that all cyclides of Dupin are Lie sphere equivalent. The exposition is restricted to curves and surfaces in order to emphasize the geometric interpretation of invariants and other constructions. Working in low dimensions helps students develop a strong geometric intuition. Aspiring geometers will acquire a working knowledge of curves and surfaces in classical geometries. Students will learn the invariants of conformal geometry and how these relate to the invariants of Euclidean, spherical, and hyperbolic geometry. They will learn the fundamentals of Lie sphere geometry, which require the notion of Legendre immersions of a contact structure. Prerequisites include a completed one semester standard course on manifold theory.

Total Curvature in Riemannian Geometry

Author : Thomas Willmore
Publisher :
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Total Curvature in Riemannian Geometry by : Thomas Willmore

Download or read book Total Curvature in Riemannian Geometry written by Thomas Willmore and published by . This book was released on 1982 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.

Disquisitiones Arithmeticae

Author : Carl Friedrich Gauss
Publisher : Springer
ISBN 13 : 1493975609
Total Pages : 472 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Disquisitiones Arithmeticae by : Carl Friedrich Gauss

Download or read book Disquisitiones Arithmeticae written by Carl Friedrich Gauss and published by Springer. This book was released on 2018-02-07 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .

Harmonic Maps, Conservation Laws and Moving Frames

Author : Frédéric Hélein
Publisher : Cambridge University Press
ISBN 13 : 9780521811606
Total Pages : 298 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Harmonic Maps, Conservation Laws and Moving Frames by : Frédéric Hélein

Download or read book Harmonic Maps, Conservation Laws and Moving Frames written by Frédéric Hélein and published by Cambridge University Press. This book was released on 2002-06-13 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Elliptic and Parabolic Methods in Geometry

Author : Ben Chow
Publisher : CRC Press
ISBN 13 : 1439864519
Total Pages : 216 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Elliptic and Parabolic Methods in Geometry by : Ben Chow

Download or read book Elliptic and Parabolic Methods in Geometry written by Ben Chow and published by CRC Press. This book was released on 1996-10-15 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents the results of a workshop held at the Geometry Center (University of Minnesota, Minneapolis) and captures the excitement of the week.

Landscape of 21st Century Mathematics

Author : Bogdan Grechuk
Publisher : Springer Nature
ISBN 13 : 3030806278
Total Pages : 437 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Landscape of 21st Century Mathematics by : Bogdan Grechuk

Download or read book Landscape of 21st Century Mathematics written by Bogdan Grechuk and published by Springer Nature. This book was released on 2021-09-21 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Landscape of 21st Century Mathematics offers a detailed cross section of contemporary mathematics. Important results of the 21st century are motivated and formulated, providing an overview of recent progress in the discipline. The theorems presented in this book have been selected among recent achievements whose statements can be fully appreciated without extensive background. Grouped by subject, the selected theorems represent all major areas of mathematics: number theory, combinatorics, analysis, algebra, geometry and topology, probability and statistics, algorithms and complexity, and logic and set theory. The presentation is self-contained with context, background and necessary definitions provided for each theorem, all without sacrificing mathematical rigour. Where feasible, brief indications of the main ideas of a proof are given. Rigorous yet accessible, this book presents an array of breathtaking recent advances in mathematics. It is written for everyone with a background in mathematics, from inquisitive university students to mathematicians curious about recent achievements in areas beyond their own.

Do Not Erase

Author : Jessica Wynne
Publisher : Princeton University Press
ISBN 13 : 0691222827
Total Pages : 248 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Do Not Erase by : Jessica Wynne

Download or read book Do Not Erase written by Jessica Wynne and published by Princeton University Press. This book was released on 2021-06-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: A photographic exploration of mathematicians’ chalkboards “A mathematician, like a painter or poet, is a maker of patterns,” wrote the British mathematician G. H. Hardy. In Do Not Erase, photographer Jessica Wynne presents remarkable examples of this idea through images of mathematicians’ chalkboards. While other fields have replaced chalkboards with whiteboards and digital presentations, mathematicians remain loyal to chalk for puzzling out their ideas and communicating their research. Wynne offers more than one hundred stunning photographs of these chalkboards, gathered from a diverse group of mathematicians around the world. The photographs are accompanied by essays from each mathematician, reflecting on their work and processes. Together, pictures and words provide an illuminating meditation on the unique relationships among mathematics, art, and creativity. The mathematicians featured in this collection comprise exciting new voices alongside established figures, including Sun-Yung Alice Chang, Alain Connes, Misha Gromov, Andre Neves, Kasso Okoudjou, Peter Shor, Christina Sormani, Terence Tao, Claire Voisin, and many others. The companion essays give insights into how the chalkboard serves as a special medium for mathematical expression. The volume also includes an introduction by the author, an afterword by New Yorker writer Alec Wilkinson, and biographical information for each contributor. Do Not Erase is a testament to the myriad ways that mathematicians use their chalkboards to reveal the conceptual and visual beauty of their discipline—shapes, figures, formulas, and conjectures created through imagination, argument, and speculation.