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Vector Bundles and Their Applications, Glenys Luke; Alexander S. Mishchenko


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Автор: Glenys Luke; Alexander S. Mishchenko
Название:  Vector Bundles and Their Applications
ISBN: 9781441948021
Издательство: Springer
Классификация:







ISBN-10: 1441948023
Обложка/Формат: Paperback
Страницы: 256
Вес: 0.38 кг.
Дата издания: 06.12.2010
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 14
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In the last few years the use of geometrie methods has permeated many more branehes of mathematies and the seiences. Briefly its role may be eharaeterized as folIows. Whereas methods of mathematieal analysis deseribe phenomena in the sm all geometrie methods eontribute to giving the picture in the large. A seeond no less important property of geometrie methods is the eonvenienee of using its language to deseribe and give qualitative explanations for diverse mathematieal phenomena and patterns. From this point of view, the theory of veetor bundles together with mathematieal analysis on manifolds (global anal- ysis and differential geometry) has provided a major stimulus. Its language turned out to be extremely fruitful: connections on prineipal veetor bundles (in terms of whieh various field theories are deseribed), transformation groups including the various symmetry groups that arise in eonneetion with physieal problems, in asymptotie methods of partial differential equations with small parameter, in elliptie operator theory, in mathematieal methods of classieal meehanies and in mathematieal methods in eeonomies. There are other eur- rently less signifieant applieations in other fields. Over a similar period, uni- versity edueation has ehanged eonsiderably with the appearanee of new courses on differential geometry and topology. New textbooks have been published but geometry and topology has not, in our opinion, been wen eovered from a prae- tieal applieations point of view.


Positivity in Algebraic Geometry II / Positivity for Vector Bundles, and Multiplier Ideals

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: 7685.00 р.
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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.

Vector Bundles and Their Applications

Автор: Glenys Luke; Alexander S. Mishchenko
Название: Vector Bundles and Their Applications
ISBN: 0792351541 ISBN-13(EAN): 9780792351542
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Devoted to the basic notions of vector bundles and their applications. This book explains important notions and geometric constructions connected with the theory of vector bundles. It contains illustrations and applications to various problems in mathematics and sciences. It is intended for graduate students from pure and applied mathematics.

Vector Bundles on Complex Projective Spaces

Автор: Christian Okonek; Heinz Spindler; Michael Schneide
Название: Vector Bundles on Complex Projective Spaces
ISBN: 1475714629 ISBN-13(EAN): 9781475714623
Издательство: Springer
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Цена: 18167.00 р.
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Описание: These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds X. According to Serre (GAGA) the classification of holomorphic vector bundles is equivalent to the classification of algebraic vector bundles.

Differential Geometry of Complex Vector Bundles

Автор: Kobayashi Shoshichi
Название: Differential Geometry of Complex Vector Bundles
ISBN: 0691603294 ISBN-13(EAN): 9780691603292
Издательство: Wiley
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Цена: 9187.00 р.
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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

Holomorphic Vector Bundles over Compact Complex Surfaces

Автор: Vasile Brinzanescu
Название: Holomorphic Vector Bundles over Compact Complex Surfaces
ISBN: 3540610189 ISBN-13(EAN): 9783540610182
Издательство: Springer
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Цена: 4890.00 р.
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Описание: This text discusses the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. It also considers irreducible vector bundles and stability with respect to a Gauduchon metric.

Representations of Elementary Abelian  p -Groups and Vector Bundles

Автор: Benson
Название: Representations of Elementary Abelian p -Groups and Vector Bundles
ISBN: 1107174171 ISBN-13(EAN): 9781107174177
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: This is the first book to study representations of elementary abelian groups using vector bundles on projective space. The treatment includes substantial background material from representation theory and algebraic geometry, including an algebraic treatment of the theory of Chern classes.

Helices and Vector Bundles

Автор: A. N. Rudakov
Название: Helices and Vector Bundles
ISBN: 0521388112 ISBN-13(EAN): 9780521388115
Издательство: Cambridge Academ
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Цена: 6018.00 р.
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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.

Induced Representations and Banach*-Algebraic Bundles

Автор: A. Douady; J. M. G. Fell; L. Dal Soglio-Herault
Название: Induced Representations and Banach*-Algebraic Bundles
ISBN: 354008147X ISBN-13(EAN): 9783540081470
Издательство: Springer
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Цена: 4884.00 р.
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Categories, Bundles and Spacetime Topology

Автор: C.T. Dodson
Название: Categories, Bundles and Spacetime Topology
ISBN: 9027727716 ISBN-13(EAN): 9789027727718
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Gad in Crane Feathers' in R. Brown'The point of a Pin'. van Gulik's TheChinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging SUbdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Affine Flag Manifolds and Principal Bundles

Автор: Alexander Schmitt
Название: Affine Flag Manifolds and Principal Bundles
ISBN: 3034803095 ISBN-13(EAN): 9783034803090
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Affine flag manifolds are infinite dimensional versions of familiar objects such as Gra mann varieties. The book features lecture notes, survey articles, and research notes - based on workshops held in Berlin, Essen, and Madrid - explaining the significance of these and related objects (such as double affine Hecke algebras and affine Springer fibers) in representation theory (e.g., the theory of symmetric polynomials), arithmetic geometry (e.g., the fundamental lemma in the Langlands program), and algebraic geometry (e.g., affine flag manifolds as parameter spaces for principal bundles). Novel aspects of the theory of principal bundles on algebraic varieties are also studied in the book.


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