There are many technical and popular accounts, both in Russian and
in other languages, of the non-Euclidean geometry of Lobachevsky
and Bolyai, a few of which are listed in the Bibliography. This
geometry, also called hyperbolic geometry, is part of the required
subject matter of many mathematics departments in universities and
teachers' colleges-a reflec tion of the view that familiarity with
the elements of hyperbolic geometry is a useful part of the
background of future high school teachers. Much attention is paid
to hyperbolic geometry by school mathematics clubs. Some
mathematicians and educators concerned with reform of the high
school curriculum believe that the required part of the curriculum
should include elements of hyperbolic geometry, and that the
optional part of the curriculum should include a topic related to
hyperbolic geometry. I The broad interest in hyperbolic geometry is
not surprising. This interest has little to do with mathematical
and scientific applications of hyperbolic geometry, since the
applications (for instance, in the theory of automorphic functions)
are rather specialized, and are likely to be encountered by very
few of the many students who conscientiously study (and then
present to examiners) the definition of parallels in hyperbolic
geometry and the special features of configurations of lines in the
hyperbolic plane. The principal reason for the interest in
hyperbolic geometry is the important fact of "non-uniqueness" of
geometry; of the existence of many geometric systems."
General
| Imprint: |
Springer-Verlag New York
|
| Country of origin: |
United States |
| Series: |
Heidelberg Science Library |
| Release date: |
February 1979 |
| First published: |
1979 |
| Assisted by: |
B. Gordon
|
| Translators: |
A. Shenitzer
|
| Authors: |
I.M. Yaglom
|
| Dimensions: |
235 x 155 x 21mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
307 |
| Edition: |
Softcover reprint of the original 1st ed. 1979 |
| ISBN-13: |
978-0-387-90332-3 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
Promotions
|
| LSN: |
0-387-90332-1 |
| Barcode: |
9780387903323 |
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