Ramification: Mathematics, Square Root, Complex Number, Covering Space, Degeneracy, Complex Analysis, Riemann Surface, Riemann–Hurwitz Formula, Genus, Branch Point, Euler Characteristic - Brossura

Brossura

ISBN 10: 6130343434 ISBN 13: 9786130343439

Casa editrice: Betascript Publishing, 2010

Riassunto

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, ramification is a geometric term used for ''branching out'', in the way that the square root function, for complex numbers, can be seen to have two branches differing in sign. It is also used from the opposite perspective (branches coming together) as when a covering map degenerates at a point of a space, with some collapsing together of the fibers of the mapping. In complex analysis, the basic model can be taken as the z to zn mapping in the complex plane, near z = 0. This is the standard local picture in Riemann surface theory, of ramification of order n. It occurs for example in the Riemann–Hurwitz formula for the effect of mappings on the genus. See also branch point.

Dettagli dell'edizione

• Editore: Betascript Publishing
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 6130343434
• ISBN 13: 9786130343439
• Rilegatura: Copertina flessibile
• Numero di pagine: 144
• Redattore: Surhone Lambert M., Tennoe Mariam T., Henssonow Susan F.
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile