Name: Geometry of Vector Sheaves (en Inglés)
SKU: 63707059
Price: 51.47 USD
Availability: InStock
Author: Anastasios Mallios
ISBN: 9789401150071

portada Geometry of Vector Sheaves (en Inglés)

Formato

Libro Físico

Editorial

Springer Nature B.V.

Autor

Anastasios Mallios

Año

2011

Idioma

Inglés

N° páginas

468

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6 cm

ISBN13

9789401150071

Geometry of Vector Sheaves (en Inglés)

Anastasios Mallios (Autor) · Springer Nature B.V. · Tapa Blanda

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Reseña del libro "Geometry of Vector Sheaves (en Inglés)"

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.