It takes the average reader 5 hours and 51 minutes to read Introduction to Geometry of Manifolds with Symmetry by V.V. Trofimov
Assuming a reading speed of 250 words per minute. Learn more
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.
Introduction to Geometry of Manifolds with Symmetry by V.V. Trofimov is 339 pages long, and a total of 87,801 words.
This makes it 114% the length of the average book. It also has 107% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 59 minutes to read Introduction to Geometry of Manifolds with Symmetry aloud.
Introduction to Geometry of Manifolds with Symmetry is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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