Geometries and Groups

Viacheslav V. Nikulin, Igor R. Shafarevich (Autoren)

Buch | Softcover

VIII, 254 Seiten

1987 | 1994
Springer Berlin (Verlag)
978-3-540-15281-1 (ISBN)

Infos

This is a quite exceptional book, a lively and approachable treatment of an important field of mathematics given in a masterly style. Assuming only a school background, the authors develop locally Euclidean geometries, going as far as the modular space of structures on the torus, treated in terms of Lobachevsky's non-Euclidean geometry. Each section is carefully motivated by discussion of the physical and general scientific implications of the mathematical argument, and its place in the history of mathematics and philosophy. The book is expected to find a place alongside classics such as Hilbert and Cohn-Vossen's "Geometry and the imagination" and Weyl's "Symmetry".

Inhalt

Forming geometrical intuition; statement of the main problem.
The theory of 2-dimensional locally Euclidean geometries.
Generalisations and applications.
Geometries on the torus, complex numbers and Lobachevsky geometry.
Historical remarks.
List of notation.
Index.

Produkt-Details

• Erscheint lt. Verlag: 1.11.1987
• Reihe/Serie: Universitext
• Übersetzer: M. Reid
• Zusatzinfo: VIII, 254 p. 1 illus.
• Verlagsort: Berlin
• Sprache: englisch
• Maße: 155 x 233 mm
• Gewicht: 446 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: Addition • Algebra • Boundary element method • Diskrete Gruppe • Euklidischer Raum • Field • Form • Geometrie • Gruppe (Mathematik) • Hardcover, Softcover / Mathematik/Geometrie • HC/Mathematik/Geometrie • Hyperbolische Geometrie • Kristallographie • lattice • Mathematica • Mathematics • Non-Euclidean geometry • Philosophy • SET • Similarity • Story • symmetry • Symmetry group
• ISBN-10: 3-540-15281-4 / 3540152814
• ISBN-13: 978-3-540-15281-1 / 9783540152811
• Zustand: Neuware