Name: Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications (en Inglés)
Price: 162730.00 CLP
Availability: InStock
Author: Mallios, Anastasios
ISBN: 9789401061025

portada Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications (en Inglés)

Formato

Libro Físico

Autor

Anastasios Mallios

Editorial

Springer

Idioma

Inglés

N° páginas

438

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 2.4 cm

Peso

0.65 kg.

ISBN13

9789401061025

Categorías

Cálculo y análisis matemático
Geometría diferencial y riemanniana
Topología

Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications (en Inglés)

Anastasios Mallios (Autor) · Springer · Tapa Blanda

Libro Físico

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Ahorras: $ 108.490

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Reseña del libro "Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications (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