History of Non-Euclidean Geometry: Evolution of the Concept of Geometric Space
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buecher.de GmbH & Co. KG, [1].
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.xi, 471 S. XI, 471 p. 235 mmVersandfertig in 3-5 Tagen, Hardcover.

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This item is printed on demand. Hardcover. This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. Chapters one through five are devoted to the evolution of the concept of space, leading up to chapter six which describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space. The author goes on to discuss concepts such as multidimensional spaces and curvature, and transformation groups. The book ends with a chapter describing the applications of nonassociative algebras to geometry. This item ships from La Vergne,TN.

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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.

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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. Hardcover, Ausgabe: 1988, Label: Springer, Springer, Produktgruppe: Book, Publiziert: 1988-09-07, Studio: Springer, Verkaufsrang: 2654469.

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First Edition in English (1st Russian ed., 1976). xi, 471 pp; 114 figs. Original cloth. Near Fine, without dust jacket (as issued). Studies in the History of Mathematics and Physical Sciences, Vol. 12.

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Boris A. Rosenfeld, Books, Science and Nature, A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space, A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space.

Von Händler/Antiquariat, Antiquariat Bookfarm [54905055], Löbnitz, Germany.
IX, 471 pages : 114 Ill. Ex-Library book in good condition. 9783540964582 Sprache: Englisch Gewicht in Gramm: 950, Books.

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Von Händler/Antiquariat, Antiquariat Bookfarm, [3962379].
IX, 471 pages : 114 Ill. Ex-Library book in good condition. 9783540964582, 1988. gebraucht; gut, 950g, Internationaler Versand, Offene Rechnung, PayPal.

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Evolution of the Concept of a Geometric Space, Evolution of the Concept of a Geometric Space.

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This item is printed on demand.