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Geometry of Vector Sheaves - Volume 2

Título: Geometry of Vector Sheaves - Volume 2

Autor: Anastasios Mallios

Sinopse: This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasised. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary particle physics, via gauge theories and theoretical cosmology (`differential spaces'), to non-linear PDEs (generalised functions). Thus, more general applications, which are no longer `smooth' in the classical sense, can be coped with. The treatise might also be construed as a new systematic endeavour to confront the ever-increasing notion that the `world around us is far from being smooth enough'. Audience: This work is intended for postgraduate students and researchers whose work involves differential geometry, global analysis, analysis on manifolds, algebraic topology, sheaf theory, cohomology, functional analysis or abstract harmonic analysis. Acabamento: Hardcover. Peso: 1032g. Dimensões: 23 x 16 x 1.

Contexto da obra

Dentro do catálogo, este livro pode ser situado a partir do tema, da autoria e da proposta editorial. “Geometry of Vector Sheaves – Volume 2”, de Anastasios Mallios, publicado pela editora Kluwer Academic Publisher, em 1998 e com 924 páginas, integra a categoria Matemática. Esse enquadramento pode tornar mais clara a proposta do livro e o tipo de interesse que ele costuma despertar.

Editora: Kluwer Academic Publisher

Páginas: 924

Ano: 1998

Edição: 1ª EDIÇÃO

Linguagem: Inglês

ISBN:

ISBN13: 9780792350064

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