Geometry of Vector Sheaves - An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications (Paperback, Softcover reprint of the original 1st ed. 1998)

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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 439
Release date:	October 2012
First published:	1998
Authors:	Anastasios Mallios
Dimensions:	240 x 160 x 24mm (L x W x T)
Format:	Paperback
Pages:	438
Edition:	Softcover reprint of the original 1st ed. 1998
ISBN-13:	978-9401061025
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	9401061025
Barcode:	9789401061025

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