Global Geometry Of Extremal Surfaces In Three Space PDF Download
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Author | : Robert Barnard Kusner |
Publisher | : |
Total Pages | : 154 |
Release | : 1987 |
Genre | : Extremal problems (Mathematics). |
ISBN | : |
Download Global Geometry of Extremal Surfaces in Three-space Book in PDF, ePub and Kindle
Author | : A. T. Fomenko |
Publisher | : American Mathematical Soc. |
Total Pages | : 156 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821837915 |
Download Elements of the geometry and topology of minimal surfaces in three-dimensional space Book in PDF, ePub and Kindle
This book grew out of lectures presented to students of mathematics, physics, and mechanics by A. T. Fomenko at Moscow University, under the auspices of the Moscow Mathematical Society. The book describes modern and visual aspects of the theory of minimal, two-dimensional surfaces in three-dimensional space. The main topics covered are: topological properties of minimal surfaces, stable and unstable minimal films, classical examples, the Morse-Smale index of minimal two-surfaces in Euclidean space, and minimal films in Lobachevskian space. Requiring only a standard first-year calculus and elementary notions of geometry, this book brings the reader rapidly into this fascinating branch of modern geometry.
Author | : Robert Osserman |
Publisher | : Springer Science & Business Media |
Total Pages | : 279 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 3662034840 |
Download Geometry V Book in PDF, ePub and Kindle
Few people outside of mathematics are aware of the varieties of mathemat ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others. The particular flavor of the subject of minimal surfaces seems to lie in a combination of the concreteness of the objects being studied, their origin and relation to the physical world, and the way they lie at the intersection of so many different parts of mathematics. In the past fifteen years a new component has been added: the availability of computer graphics to provide illustrations that are both mathematically instructive and esthetically pleas ing. During the course of the twentieth century, two major thrusts have played a seminal role in the evolution of minimal surface theory. The first is the work on the Plateau Problem, whose initial phase culminated in the solution for which Jesse Douglas was awarded one of the first two Fields Medals in 1936. (The other Fields Medal that year went to Lars V. Ahlfors for his contributions to complex analysis, including his important new insights in Nevanlinna Theory.) The second was the innovative approach to partial differential equations by Serge Bernstein, which led to the celebrated Bernstein's Theorem, stating that the only solution to the minimal surface equation over the whole plane is the trivial solution: a linear function.
Author | : Rafael López |
Publisher | : Springer Science & Business Media |
Total Pages | : 296 |
Release | : 2013-08-31 |
Genre | : Mathematics |
ISBN | : 3642396267 |
Download Constant Mean Curvature Surfaces with Boundary Book in PDF, ePub and Kindle
The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods but also PDE and complex analysis, the theory is also of great interest for many other mathematical fields. While minimal surfaces and CMC surfaces in general have already been treated in the literature, the present work is the first to present a comprehensive study of “compact surfaces with boundaries,” narrowing its focus to a geometric view. Basic issues include the discussion whether the symmetries of the curve inherit to the surface; the possible values of the mean curvature, area and volume; stability; the circular boundary case and the existence of the Plateau problem in the non-parametric case. The exposition provides an outlook on recent research but also a set of techniques that allows the results to be expanded to other ambient spaces. Throughout the text, numerous illustrations clarify the results and their proofs. The book is intended for graduate students and researchers in the field of differential geometry and especially theory of surfaces, including geometric analysis and geometric PDEs. It guides readers up to the state-of-the-art of the theory and introduces them to interesting open problems.
Author | : Giuseppe Mingione |
Publisher | : Springer Science & Business Media |
Total Pages | : 211 |
Release | : 2012-04-26 |
Genre | : Mathematics |
ISBN | : 887642427X |
Download Topics in Modern Regularity Theory Book in PDF, ePub and Kindle
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.
Author | : Tim Hoffmann |
Publisher | : Springer Nature |
Total Pages | : 280 |
Release | : 2021-05-06 |
Genre | : Mathematics |
ISBN | : 3030685411 |
Download Minimal Surfaces: Integrable Systems and Visualisation Book in PDF, ePub and Kindle
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 | : J. Szenthe |
Publisher | : Springer Science & Business Media |
Total Pages | : 513 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401152764 |
Download New Developments in Differential Geometry, Budapest 1996 Book in PDF, ePub and Kindle
Proceedings of the Conference on Differential Geometry, Budapest, Hungary, July 27-30, 1996
Author | : I︠U︡riĭ Dmitrievich Burago |
Publisher | : Springer Science & Business Media |
Total Pages | : 272 |
Release | : 1992-09-23 |
Genre | : Mathematics |
ISBN | : 9783540533771 |
Download Geometry III Book in PDF, ePub and Kindle
A volume devoted to the extremely clear and intrinsically beautiful theory of two-dimensional surfaces in Euclidean spaces. The main focus is on the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry, and the influence of properties of intrinsic metrics on the geometry of surfaces.
Author | : George Salmon |
Publisher | : |
Total Pages | : 510 |
Release | : 1862 |
Genre | : Geometry, Analytic |
ISBN | : |
Download A Treatise on the Analytic Geometry of Three Dimensions Book in PDF, ePub and Kindle
Author | : Daqian Li |
Publisher | : World Scientific |
Total Pages | : 196 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9789810230241 |
Download Collection of Papers on Geometry, Analysis and Mathematical Physics Book in PDF, ePub and Kindle
This volume is published in honor of Professor Gu Chaohao, a renowned mathematician and member of the Chinese Academy of Sciences, on the occasion of his 70th birthday and his 50th year of educational work. The subjects covered by this collection are closely related to differential geometry, partial differential equations and mathematical physics ? the major areas in which Professor Gu has received notable achievements. Many distinguished mathematicians all over the world contributed their papers to this collection. This collection also consists of ?Gu Chaohao and I? written by C N Yang, ?The academic career and accomplishment of Professor Gu Chaohao? by T T Li and ?List of publications of Professor Gu Chaohao?.