MARC details
| 000 -LEADER |
| fixed length control field |
02697nam a22003737a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
| control field |
IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
| control field |
20260222155457.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
| fixed length control field |
260214b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
| International Standard Book Number |
9781461264491 |
| 040 ## - CATALOGING SOURCE |
| Original cataloging agency |
IIITD |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
| Classification number |
516.9 |
| Item number |
ROS-H |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
| Personal name |
Rosenfeld, B.A. |
| 245 ## - TITLE STATEMENT |
| Title |
A history of non-euclidean geometry : |
| Remainder of title |
evolution of the concept of a geometric space |
| Statement of responsibility, etc |
by B.A. Rosenfeld |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
©1998 |
| 300 ## - PHYSICAL DESCRIPTION |
| Extent |
ix, 471 p. : |
| Other physical details |
ill. ; |
| Dimensions |
25 cm. |
| 490 ## - SERIES STATEMENT |
| Series statement |
Studies in the history of mathematics and physical sciences |
| Volume number/sequential designation |
12 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
| Bibliography, etc |
Included bibliographic references and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
| Title |
1. Spherical geometry |
| 505 ## - FORMATTED CONTENTS NOTE |
| Title |
2. The theory of parallels |
| 505 ## - FORMATTED CONTENTS NOTE |
| Title |
3. Geometric Transformations |
| 505 ## - FORMATTED CONTENTS NOTE |
| Title |
4. Geometric algebra and the prehistory of Multidimensional geometry |
| 505 ## - FORMATTED CONTENTS NOTE |
| Title |
5. Philosophy of space |
| 505 ## - FORMATTED CONTENTS NOTE |
| Title |
6. Lobacevskian geometry |
| 505 ## - FORMATTED CONTENTS NOTE |
| Title |
7. Multidimensional Spaces |
| 505 ## - FORMATTED CONTENTS NOTE |
| Title |
8. The curvature of spaces |
| 505 ## - FORMATTED CONTENTS NOTE |
| Title |
9. Groups of transformations |
| 505 ## - FORMATTED CONTENTS NOTE |
| Title |
10. Application of algebras |
| 520 ## - SUMMARY, ETC. |
| Summary, etc |
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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name as entry element |
Geometry, Non-Euclidean |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name as entry element |
History of geometry |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name as entry element |
Mathematics in medieval Islam |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
| Personal name |
Shenitzer, Abe |
| Relator term |
translator |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
| Koha item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |