Transformation Groups in Differential Geometry, Shoshichi Kobayashi
Автор: Fecko Название: Differential Geometry and Lie Groups for Physicists ISBN: 0521187966 ISBN-13(EAN): 9780521187961 Издательство: Cambridge Academ Рейтинг: Цена: 71810.00 T Наличие на складе: Заказано в издательстве. Описание: Covering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical physics and mathematics. It develops understanding through over 1000 short exercises, and is suitable for advanced undergraduate or graduate courses in physics, mathematics and engineering.
Название: Discrete differential geometry preliminary entry 38 ISBN: 3764386207 ISBN-13(EAN): 9783764386207 Издательство: Springer Рейтинг: Цена: 37260.00 T 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: MIT Press Рейтинг: Цена: 62070.00 T Наличие на складе: Невозможна поставка. 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.
Автор: George E. Martin Название: Transformation Geometry ISBN: 0387906363 ISBN-13(EAN): 9780387906362 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Transformation geometry is a relatively recent expression of the successful venture of bringing together geometry and algebra. The name describes an approach as much as the content. Our subject is Euclidean geometry. Essential to the study of the plane or any mathematical system is an under- standing of the transformations on that system that preserve designated features of the system. Our study of the automorphisms of the plane and of space is based on only the most elementary high-school geometry. In particular, group theory is not a prerequisite here. On the contrary, this modern approach to Euclidean geometry gives the concrete examples that are necessary to appreciate an introduction to group theory. Therefore, a course based on this text is an excellent prerequisite to the standard course in abstract algebra taken by every undergraduate mathematics major. An advantage of having nb college mathematics prerequisite to our study is that the text is then useful for graduate mathematics courses designed for secondary teachers. Many of the students in these classes either have never taken linear algebra or else have taken it too long ago to recall even the basic ideas. It turns out that very little is lost here by not assuming linear algebra. A preliminary version of the text was written for and used in two courses-one was a graduate course for teachers and the other a sophomore course designed for the prospective teacher and the general mathematics major taking one course in geometry.
Автор: Adachi Toshiaki Et Al Название: Recent Progress In Differential Geometry And Its Related Fields - Proceedings Of The 2Nd International Colloquium On Differential Geometry And Its Related Fields ISBN: 9814355461 ISBN-13(EAN): 9789814355469 Издательство: World Scientific Publishing Рейтинг: Цена: 85530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Christian B?r; Joachim Lohkamp; Matthias Schwarz Название: Global Differential Geometry ISBN: 3642439098 ISBN-13(EAN): 9783642439094 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Introduction.- Symplectic Geometry.- Geometric Analysis.- Riemann Geometry.
Автор: Kobayashi Shoshichi Название: Differential Geometry of Complex Vector Bundles ISBN: 0691603294 ISBN-13(EAN): 9780691603292 Издательство: Wiley Рейтинг: Цена: 61250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author`s lectures and seminars in Berkeley and Japan, is written for researchers and graduate s
Автор: Lie Sophus Название: Theory of Transformation Groups I ISBN: 3662462109 ISBN-13(EAN): 9783662462102 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Theory of Transformation Groups I
Автор: Berger, Marcel Gostiaux, Bernard Название: Differential geometry: manifolds, curves, and surfaces ISBN: 146126992X ISBN-13(EAN): 9781461269922 Издательство: Springer Рейтинг: Цена: 69830.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics.
Автор: Tu, Loring W. Название: Differential Geometry ISBN: 3319550829 ISBN-13(EAN): 9783319550824 Издательство: Springer Рейтинг: Цена: 59620.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein`s general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory.
Автор: Giovanni Falcone Название: Lie Groups, Differential Equations, and Geometry ISBN: 3319621807 ISBN-13(EAN): 9783319621807 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This work is a collection of contributions related to the scientific project Marie Curie Actions - IRSES 317721"Lie groups, Differential equations and Geometry."The book is intended as a reference for students who want to approach the many aspects of the Lie theory, and begin a collaboration with one or more authors.
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