000			02697nam a22003737a 4500
003			IIITD
005			20260222155457.0
008			260214b |||||||| |||| 00| 0 eng d
020			_a9781461264491
040			_aIIITD
082			_a516.9 _bROS-H
100			_aRosenfeld, B.A.
245			_aA history of non-euclidean geometry : _bevolution of the concept of a geometric space _cby B.A. Rosenfeld
260			_aNew York : _bSpringer, _c©1998
300			_aix, 471 p. : _bill. ; _c25 cm.
490			_aStudies in the history of mathematics and physical sciences _v12
504			_aIncluded bibliographic references and index.
505			_t1. Spherical geometry
505			_t2. The theory of parallels
505			_t3. Geometric Transformations
505			_t4. Geometric algebra and the prehistory of Multidimensional geometry
505			_t5. Philosophy of space
505			_t6. Lobacevskian geometry
505			_t7. Multidimensional Spaces
505			_t8. The curvature of spaces
505			_t9. Groups of transformations
505			_t10. Application of algebras
520			_aThe 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			_aGeometry, Non-Euclidean
650			_aHistory of geometry
650			_aMathematics in medieval Islam
700			_aShenitzer, Abe _etranslator
942			_cBK _2ddc
999			_c209587 _d209587