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Item Details
| Title:
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GEOMETRY OF VECTOR SHEAVES
AN AXIOMATIC APPROACH TO DIFFERENTIAL GEOMETRY VOLUME II: GEOMETRY. EXAMPLES AND APPLICATIONS |
| By: |
Anastasios Mallios |
| Format: |
Paperback |
| List price:
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£82.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
9401061025 |
| ISBN 13: |
9789401061025 |
| Publisher: |
SPRINGER |
| Pub. date: |
8 October, 2012 |
| Edition: |
Softcover reprint of the original 1st ed. 1998 |
| Series: |
Mathematics and Its Applications 439 |
| Pages: |
438 |
| Synopsis: |
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. |
| Illustrations: |
XXIII, 438 p. |
| Publication: |
Netherlands |
| Imprint: |
Springer |
| Returns: |
Returnable |
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