One ofthe most important features of the development of physical
and mathematical sciences in the beginning of the 20th century was
the demolition of prevailing views of the three-dimensional
Euclidean space as the only possible mathematical description of
real physical space. Apriorization of geometrical notions and
identification of physical 3 space with its mathematical modellR
were characteristic for these views. The discovery of non-Euclidean
geometries led mathematicians to the understanding that Euclidean
geometry is nothing more than one of many logically admissible
geometrical systems. Relativity theory amended our understanding of
the problem of space by amalgamating space and time into an
integral four-dimensional manifold. One of the most important
problems, lying at the crossroad of natural sciences and philosophy
is the problem of the structure of the world as a whole. There are
a lot of possibilities for the topology offour dimensional
space-time, and at first sight a lot of possibilities arise in
cosmology. In principle, not only can the global topology of the
universe be complicated, but also smaller scale topological
structures can be very nontrivial. One can imagine two "usual"
spaces connected with a "throat," making the topology of the union
complicated."
General
Imprint: |
Springer
|
Country of origin: |
Netherlands |
Series: |
Mathematics and Its Applications, 270 |
Release date: |
December 2010 |
First published: |
1994 |
Authors: |
V.V. Trofimov
|
Dimensions: |
279 x 210 x 18mm (L x W x T) |
Format: |
Paperback
|
Pages: |
328 |
Edition: |
Softcover reprint of the original 1st ed. 1994 |
ISBN-13: |
978-90-481-4336-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
Promotions
|
LSN: |
90-481-4336-5 |
Barcode: |
9789048143368 |
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