Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry

Anastasios Mallios

Format
Hardback
Publisher
Kluwer Academic Publishers
Country
United States
Published
1 December 1998
Pages
462
ISBN
9780792350040

Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry

Anastasios Mallios

This text is part 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.

This item is not currently in-stock. It can be ordered online and is expected to ship in approx 4 weeks

Our stock data is updated periodically, and availability may change throughout the day for in-demand items. Please call the relevant shop for the most current stock information. Prices are subject to change without notice.

Sign in or become a Readings Member to add this title to a wishlist.