Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorRosenfeld, B. A. author
TitleA History of Non-Euclidean Geometry [electronic resource] : Evolution of the Concept of a Geometric Space / by B. A. Rosenfeld
ImprintNew York, NY : Springer New York : Imprint: Springer, 1988
Connect tohttp://dx.doi.org/10.1007/978-1-4419-8680-1
Descript XI, 471 p. online resource

SUMMARY

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 arithยญ metic and algebra of real and complex numbers, and, finally, to new matheยญ 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 matheยญ matics


CONTENT

1. Spherical Geometry -- 2. The Theory of Parallels -- 3. Geometric Transformations -- 4. Geometric Algebra and the Prehistory of Multidimensional Geometry -- 5. Philosophy of Space -- 6. Lobacevskian Geometry -- 7. Multidimensional Spaces -- 8. The Curvature of Space -- 9. Groups of Transformations -- 10. Application of Algebras -- References


Mathematics Geometry Mathematics Geometry



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram