Differential Geometry of Complex Vector Bundles, Kobayashi Shoshichi

Автор: Lazarsfeld R.K.
Название: Positivity in Algebraic Geometry II / Positivity for Vector Bundles, and Multiplier Ideals
ISBN: 3540225315 ISBN-13(EAN): 9783540225317
Издательство: Springer
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Цена: 51230.00 T
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Описание: Two volume work containing a contemporary account on "Positivity in Algebraic Geometry". 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete".A good deal of the material has not previously appeared in book form. Volume II is more at the research level and somewhat more specialized than Volume I.

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: Sussman Gerald Jay
Название: Functional Differential Geometry
ISBN: 0262019345 ISBN-13(EAN): 9780262019347
Издательство: MIT Press
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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: A. N. Rudakov
Название: Helices and Vector Bundles
ISBN: 0521388112 ISBN-13(EAN): 9780521388115
Издательство: Cambridge Academ
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Цена: 40120.00 T
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Описание: This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebra geometry. The work, arising from a series of seminars in Moscow, first sets up the general machinery and later explores its use in various concepts.

Автор: Wolfgang Ebeling; Klaus Hulek; Knut Smoczyk
Название: Complex and Differential Geometry
ISBN: 3642269001 ISBN-13(EAN): 9783642269004
Издательство: Springer
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Цена: 144410.00 T
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Описание: Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.