Описание: Contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), that was held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications.
Описание: Contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda`s 60th birthday. This title presents both research and survey articles in the fields that are the main themes of his work.
Название: Discrete differential geometry preliminary entry 38 ISBN: 3764386207 ISBN-13(EAN): 9783764386207 Издательство: Springer Рейтинг: Цена: 4877.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Sussman Gerald Jay Название: Functional Differential Geometry ISBN: 0262019345 ISBN-13(EAN): 9780262019347 Издательство: Random House (USA) Рейтинг: Цена: 7587.00 р. Наличие на складе: Нет в наличии.
Описание:
An explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field theory.
Physics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It is as if they were asked to read Les Miserables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level.
The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an emphasis on the development of the covariant derivative and an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the biggest single difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding.
Описание: The aim of the Sino-Japan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote scientific exchanges and collaborations among young mathematicians both from China and Japan.The topics discussed in this proceedings include mean curvature flows, KAM theory, N-body problems, flows on Riemannian manifolds, hyperbolic systems, vortices, water waves, and reaction diffusion systems.
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