| Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications Softcover Repri Edition Contributor(s): Mallios, Anastasios (Author) |
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ISBN: 9401061025 ISBN-13: 9789401061025 Publisher: Springer OUR PRICE: $113.99 Product Type: Paperback - Other Formats Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Mathematical Analysis - Mathematics | Topology - General |
| Dewey: 516 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.94" H x 6.14" W x 9.21" (1.43 lbs) 438 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |