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Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications (Mathematics and Its Applications, 439)
Tác giả: Anastasios Mallios
NXB: Springer
Chi tiết sản phẩm
- #9,861,196 in Books
- #913 in Differential Geometry
- #1,008 in Algebraic Geometry
- #1,509 in Functional Analysis Mathematics
Về tác giả — Anastasios Mallios
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Mô tả nội dung sách Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications (Mathematics and Its Applications, 439) - Anastasios Mallios
Thông tin sách: Geometry of Vector Sheaves: An Axiomatic Approach to Differential Geometry Volume II: Geometry. Examples and Applications (Mathematics and Its Applications, 439) (Hardcover, 461 trang) – Springer, 1998. Ngôn ngữ: Tiếng Anh.
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.Giá bán
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