The Russian edition of this book appeared in 1976 on the
hundred-and-fiftieth anniversary of the historic day of February
23, 1826, when LobaeevskiI delivered his famous lecture on his
discovery of non-Euclidean geometry. The importance of the
discovery of non-Euclidean geometry goes far beyond the limits of
geometry itself. It is safe to say that it was a turning point in
the history of all mathematics. The scientific revolution of the
seventeenth century marked the transition from "mathematics of
constant magnitudes" to "mathematics of variable magnitudes. "
During the seventies of the last century there occurred another
scientific revolution. By that time mathematicians had become
familiar with the ideas of non-Euclidean geometry and the algebraic
ideas of group and field (all of which appeared at about the same
time), and the (later) ideas of set theory. This gave rise to many
geometries in addition to the Euclidean geometry previously
regarded as the only conceivable possibility, to the arithmetics
and algebras of many groups and fields in addition to the arith
metic and algebra of real and complex numbers, and, finally, to new
mathe matical systems, i. e. , sets furnished with various
structures having no classical analogues. Thus in the 1870's there
began a new mathematical era usually called, until the middle of
the twentieth century, the era of modern mathe matics.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Studies in the History of Mathematics and Physical Sciences, 12 |
Release date: |
September 2012 |
First published: |
1988 |
Translators: |
Abe Shenitzer
|
Authors: |
Boris A. Rosenfeld
|
Assisted by: |
Hardy Grant
|
Dimensions: |
235 x 155 x 25mm (L x W x T) |
Format: |
Paperback
|
Pages: |
471 |
Edition: |
Softcover reprint of the original 1st ed. 1988 |
ISBN-13: |
978-1-4612-6449-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
LSN: |
1-4612-6449-9 |
Barcode: |
9781461264491 |
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