A history of non-euclidean geometry : evolution of the concept of a geometric space
著者
書誌事項
A history of non-euclidean geometry : evolution of the concept of a geometric space
(Studies in the history of mathematics and physical sciences, 12)
Springer-Verlag, c1988
- : us
- : gw
- タイトル別名
-
Istorii︠a︡ neevklidovoĭ geometrii
History of noneuclidean geometry
大学図書館所蔵 全51件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Translation of: Istorii︠a︡ neevklidovoĭ geometrii
Bibliography: p. [428]-454
Includes index
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より