Overview

"This is the second volume of a two-volume monograph which obtains fundamental notions and results of the standard differential geometry of smooth manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasized. 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 (generalized 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"". 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."

Full Product Details

Author:   Anastasios Mallios
Publisher:   Kluwer Academic Publishers
Imprint:   Kluwer Academic Publishers
Volume:   v. 439
ISBN:  

9780792350057

ISBN 10:   0792350057
Pages:   462
Publication Date:   01 December 1998
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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