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Soap Bubble Clusters And Constant Mean Curvature Surfaces
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Book Synopsis Soap Bubble Clusters and Constant Mean Curvature Surfaces by : Société mathématique de France. Journées
Download or read book Soap Bubble Clusters and Constant Mean Curvature Surfaces written by Société mathématique de France. Journées and published by . This book was released on 1993 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 274 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
Book Synopsis The Kelvin Problem by : Denis Weaire
Download or read book The Kelvin Problem written by Denis Weaire and published by CRC Press. This book was released on 1997-09-09 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1887, Kelvin posed one of the most discussed scientific questions of the last 100 years - the problem of the division of three-dimensional space into cells of equal volume with minimal area. It has interested mathematicians, physical scientists and biologists ever since and the problem has scientific relevance to foams, emulsions and many other kinds of cells. In the 1990s, a more complex structure was discovered by Robert Phelan and Denis Weaire and it remains the best yet found. This text assesses the various merits of Kelvin's structure and of that discovered by Weaire and Phelan. It also looks at the problem of proof that Weaire's structure having minimal area remains open.
Book Synopsis New Examples of Imbedded Spherical Soap Bubbles in Sn(1) and a Generalization of Delaunay's Theorem by : Ivan Charles Sterling
Download or read book New Examples of Imbedded Spherical Soap Bubbles in Sn(1) and a Generalization of Delaunay's Theorem written by Ivan Charles Sterling and published by . This book was released on 1985 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Six Themes on Variation by : Steven James Cox
Download or read book Six Themes on Variation written by Steven James Cox and published by American Mathematical Soc.. This book was released on 2004 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is a beautiful subject with a rich history and with origins in the minimization problems of calculus. Although it is now at the core of many modern mathematical fields, it does not have a well-defined place in most undergraduate mathematics curricula. This volume should nevertheless give the undergraduate reader a sense of its great character and importance. Interesting functionals, such as area or energy, often give rise to problems whose most natural solution occurs by differentiating a one-parameter family of variations of some function. The critical points of the functional are related to the solutions of the associated Euler-Lagrange equation. These differential equations are at the heart of the calculus of variations and its applications to wave mechanics, minimal surfaces, soap bubbles, and modeling traffic flow. All are readily accessible to advanced undergraduates. This book is derived from a workshop sponsored by Rice University. It is suitable for advanced undergraduates, graduate students and research mathematicians interested in the calculus of variations and its applications to other subjects.
Book Synopsis Selected Works of Frederick J. Almgren, Jr. by : Frederick J. Almgren
Download or read book Selected Works of Frederick J. Almgren, Jr. written by Frederick J. Almgren and published by American Mathematical Soc.. This book was released on 1999 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a unique collection of some of the work of Frederick J. Almgren, Jr., the man most noted for defining the shape of geometric variational problems and for his role in founding The Geometry Center. Included in the volume are the following: a summary by Sheldon Chang of the famous 1700 page paper on singular sets of area-minimizing $m$-dimensional surfaces in $Rn$, a detailed summary by Brian White of Almgren's contributions to mathematics, his own announcements of several longer papers, important shorter papers, and memorable expository papers. Almgren's enthusiasm for the subject and his ability to locate mathematically beautiful problems that were "ready to be solved" attracted many students who further expanded the subject into new areas. Many of these former students are now known for the clarity of their expositions and for the beauty of the problems that they work on. As Almgren's former graduate student, wife, and colleague, Professor Taylor has compiled an important volume on an extraordinary mathematician. This collection presents a fine comprehensive view of the man's mathematical legacy
Book Synopsis Mean Curvature Flow and Isoperimetric Inequalities by : Manuel Ritoré
Download or read book Mean Curvature Flow and Isoperimetric Inequalities written by Manuel Ritoré and published by Springer Science & Business Media. This book was released on 2009-10-19 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds. One can use this flow as a tool to obtain classification results for surfaces satisfying certain curvature conditions, as well as to construct minimal surfaces. Geometric flows, obtained from solutions of geometric parabolic equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help in treating several aspects of convergence of these flows. Isoperimetric inequalities have many applications in other fields of geometry, like hyperbolic manifolds.
Book Synopsis Geometry and Global Analysis by : Takeshi Kotake
Download or read book Geometry and Global Analysis written by Takeshi Kotake and published by . This book was released on 1993 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Properness Results for Constant Mean Curvature Surfaces by :
Download or read book Properness Results for Constant Mean Curvature Surfaces written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foams and Emulsions written by J.F. Sadoc and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general and introductory survey of foams, emulsions and cellular materials. Foams and emulsions are illustrations of some fundamental concepts in statistical thermodynamics, rheology, elasticity and the physics and chemistry of divided media and interfaces. They also give rise to some of the most beautiful geometrical shapes and tilings, ordered or disordered. The chapters are grouped into sections having fairly loose boundaries. Each chapter is intelligible alone, but cross referencing means that the few concepts that may not be familiar to the reader can be found in other chapters in the book. Audience: Research students, researchers and teachers in physics, physical chemistry, materials science, mechanical engineering and geometry.
Book Synopsis Boundaries of a Complex World by : Andrei Ludu
Download or read book Boundaries of a Complex World written by Andrei Ludu and published by Springer Nature. This book was released on 2022-09-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics. In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems. Standard modeling approaches (based on non-linear differential equations, dynamic systems, graph theory, cellular automata, stochastic processes, or information theory) are suitable for studying local problems. However they cannot simultaneously take into account all the different facets and phenomena of a complex system, and new approaches are required to solve the challenging problem of correlations between phenomena at different levels and hierarchies, their self-organization and memory-evolutive aspects, the growth of additional structures and are ultimately required to explain why and how such complex systems can display both robustness and flexibility. This graduate-level text addresses a broader interdisciplinary audience, keeping the mathematical level essentially uniform throughout the book, and involving only basic elements from calculus, algebra, geometry and systems theory.
Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein
Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Book Synopsis Differential Geometry: Partial Differential Equations on Manifolds by : Robert Everist Greene
Download or read book Differential Geometry: Partial Differential Equations on Manifolds written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem
Book Synopsis The Mathematical Tourist by : Ivars Peterson
Download or read book The Mathematical Tourist written by Ivars Peterson and published by Macmillan. This book was released on 1998-04-15 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first edition of The Mathematical Tourist, renowned science journalist Ivars Peterson took readers on an unforgettable tour through the sometimes bizarre, but always fascinating, landscape of modern mathematics. Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on * the relationship between mathematical knots and DNA * how computers based on quantum logic can significantly speed up the factoring of large composite numbers * the relationship between four-dimensional geometry and physical theories of the nature of matter * the application of cellular automata models to social questions and the peregrinations of virtual ants * a novel mathematical model of quasicrystals based on decagon-shaped tiles Blazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.
Book Synopsis The Science of Soap Films and Soap Bubbles by : Cyril Isenberg
Download or read book The Science of Soap Films and Soap Bubbles written by Cyril Isenberg and published by Courier Dover Publications. This book was released on 1992 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superb treatment of molecular and macroscopic properties of soap films and bubbles, emphasizing solutions of physical problems. Over 120 black-and-white illustrations, 41 color photographs.
Download or read book Imagine Math 6 written by Michele Emmer and published by Springer. This book was released on 2018-11-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine combining music, art, poetry, literature, architecture and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. Imagination and mathematics, imagination and culture, culture and mathematics. This sixth volume in the series begins with a homage to the architect Zaha Hadid, who died on March 31st, 2016, a few weeks before the opening of a large exhibition of her works in Palazzo Franchetti in Venice, where all the Mathematics and Culture conferences have taken place in the last years. A large section of the book is dedicated to literature, narrative and mathematics including a contribution from Simon Singh. It discusses the role of media in mathematics, including museums of science, journals and movies. Mathematics and applications, including blood circulation and preventing crimes using earthquakes, is also addressed, while a section on mathematics and art examines the role of math in design. A large selection presents photos of mathematicians and mathematical objects by Vincent Moncorge. Discussing all topics in a way that is rigorous but captivating, detailed but full of evocations, it offers an all-embracing look at the world of mathematics and culture.
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt:
