How Long to Read Geometries and Groups

How Long Does it Take to Read Geometries and Groups?

It takes the average reader 4 hours and 24 minutes to read Geometries and Groups by Viacheslav V. Nikulin

Assuming a reading speed of 250 words per minute. Learn more

Description

This book is devoted to the theory of geometries which are locally Euclidean, in the sense that in small regions they are identical to the geometry of the Euclidean plane or Euclidean 3-space. Starting from the simplest examples, we proceed to develop a general theory of such geometries, based on their relation with discrete groups of motions of the Euclidean plane or 3-space; we also consider the relation between discrete groups of motions and crystallography. The description of locally Euclidean geometries of one type shows that these geometries are themselves naturally represented as the points of a new geometry. The systematic study of this new geometry leads us to 2-dimensional Lobachevsky geometry (also called non-Euclidean or hyperbolic geometry) which, following the logic of our study, is constructed starting from the properties of its group of motions. Thus in this book we would like to introduce the reader to a theory of geometries which are different from the usual Euclidean geometry of the plane and 3-space, in terms of examples which are accessible to a concrete and intuitive study. The basic method of study is the use of groups of motions, both discrete groups and the groups of motions of geometries. The book does not presuppose on the part of the reader any preliminary knowledge outside the limits of a school geometry course.

How long is Geometries and Groups?

Geometries and Groups by Viacheslav V. Nikulin is 262 pages long, and a total of 66,024 words.

This makes it 88% the length of the average book. It also has 81% more words than the average book.

How Long Does it Take to Read Geometries and Groups Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours to read Geometries and Groups aloud.

What Reading Level is Geometries and Groups?

Geometries and Groups 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.

Where Can I Buy Geometries and Groups?

Geometries and Groups by Viacheslav V. Nikulin is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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