A History of Non-Euclidean Geometry | Evolution of the Concept of a Geometric Space

Boris A. Rosenfeld

ISBN 10: 0387964584 / ISBN 13: 9780387964584

Published by Springer New York, 1988

About this Item

A History of Non-Euclidean Geometry | Evolution of the Concept of a Geometric Space | Boris A. Rosenfeld | Buch | xi | Englisch | 1988 | Springer New York | EAN 9780387964584 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

Seller Inventory # 102393649

Bibliographic Details

• Title: A History of Non-Euclidean Geometry | Evolution of the Concept of a Geometric Space
• Publisher: Springer New York
• Publication Date: 1988
• Language: English
• ISBN 10: 0387964584
• ISBN 13: 9780387964584
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 31D millimeters 241 millimeters width by 160 millimeters height by 31 millimeters depth
• Weight: 893 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.