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  1. Bog
  2. Matematik
  3. Algebra

Inversions

Af: I.Y. Bakelman Engelsk Paperback

Inversions

Af: I.Y. Bakelman Engelsk Paperback
Tjek vores konkurrenters priser
In this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discusses the interrelationships among more general mathematical concepts. The author begins by defining and giving examples of the concept of a transformation in the Euclidean plane, and then explains the "point of infinity" and the "stereographic projection" of the sphere onto the plane. With this preparation, the student is capable of applying the theory of inversions to classical construction problems in the plane. The author also discusses the theory of pencils of circles, and he uses the acquired techniques in a proof of Ptolemy's theorem. In the final chapter, the idea of a group is introduced with applications of group theory to geometry. The author demonstrates the group-theoretic basis for the distinction between Euclidean and Lobachevskian geometry.
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kr 290
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Tjek vores konkurrenters priser
In this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discusses the interrelationships among more general mathematical concepts. The author begins by defining and giving examples of the concept of a transformation in the Euclidean plane, and then explains the "point of infinity" and the "stereographic projection" of the sphere onto the plane. With this preparation, the student is capable of applying the theory of inversions to classical construction problems in the plane. The author also discusses the theory of pencils of circles, and he uses the acquired techniques in a proof of Ptolemy's theorem. In the final chapter, the idea of a group is introduced with applications of group theory to geometry. The author demonstrates the group-theoretic basis for the distinction between Euclidean and Lobachevskian geometry.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 77
ISBN-13: 9780226034997
Indbinding: Paperback
Udgave:
ISBN-10: 0226034992
Kategori: Algebra
Udg. Dato: 15 feb 1975
Længde: 6mm
Bredde: 153mm
Højde: 230mm
Forlag: The University of Chicago Press
Oplagsdato: 15 feb 1975
Forfatter(e): I.Y. Bakelman
Forfatter(e) I.Y. Bakelman

Kategori Algebra

ISBN-13 9780226034997

Sprog Engelsk

Indbinding Paperback

Sider 77

Udgave

Længde 6mm

Bredde 153mm

Højde 230mm

Udg. Dato 15 feb 1975

Oplagsdato 15 feb 1975

Forlag The University of Chicago Press

Kategori sammenhænge