Global Differential Geometry and Global Analysis 1984, Dirk Ferus; Robert B. Gardner; Sigurdur Helgason;

Автор: Dirk Ferus; Ulrich Pinkall; Udo Simon; Berd Wegner
Название: Global Differential Geometry and Global Analysis
ISBN: 3540547282 ISBN-13(EAN): 9783540547280
Издательство: Springer
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Цена: 32560.00 T
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Описание: This volume contains a series of original research articles on global differential geometry and global analysis. Topics discussed include generalized Cayley surfaces, affine and Euclidean completeness, transversal curvature and tautness for Riemannian foliations and much more.

Название: Discrete differential geometry preliminary entry 38
ISBN: 3764386207 ISBN-13(EAN): 9783764386207
Издательство: Springer
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Цена: 37260.00 T
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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: Tu, Loring W.
Название: Differential Geometry
ISBN: 3319550829 ISBN-13(EAN): 9783319550824
Издательство: Springer
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Цена: 59620.00 T
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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: Christian B?r; Joachim Lohkamp; Matthias Schwarz
Название: Global Differential Geometry
ISBN: 3642439098 ISBN-13(EAN): 9783642439094
Издательство: Springer
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Цена: 121110.00 T
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Описание: Introduction.- Symplectic Geometry.- Geometric Analysis.- Riemann Geometry.

Автор: A. Svec
Название: Global Differential Geometry of Surfaces
ISBN: 9027712956 ISBN-13(EAN): 9789027712950
Издательство: Springer
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Цена: 121070.00 T
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Описание: It may be said that almost all results are new and belong to myself (the exceptions being the introductory three chapters, the few classical results and results of my post- graduate student Mr. M.

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 53850.00 T
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Описание: Researchers and practitioners will be able to achieve state-of-the-art practical results in a large number of real problems with the techniques described here. Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

Автор: Sussman Gerald Jay
Название: Functional Differential Geometry
ISBN: 0262019345 ISBN-13(EAN): 9780262019347
Издательство: MIT Press
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Цена: 62070.00 T
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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.