Riemann Sphere
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. On a purely algebraic level, the complex numbers with an extra infinity element constitute a number system known as the extended complex numbers. Arithmetic with infinity does not obey all of the usual rules of algebra, and so the extended complex numbers do not form a field. However, the Riemann sphere is geometrically and analytically well-behaved, even at infinity; it is a one-dimensional complex manifold, also called a Riemann surface.In complex analysis, the Riemann sphere facilitates an elegant theory of meromorphic functions. The Riemann sphere is ubiquitous in projective geometry and algebraic geometry as a fundamental example of a complex manifold, projective space, and algebraic variety. It also finds utility in other disciplines that depend on analysis and geometry, such as quantum mechanics and other branches of physics.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786131264474
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131264474
- Format Fachbuch
- Titel Riemann Sphere
- Herausgeber Betascript Publishing
- Anzahl Seiten 152
- Genre Mathematik
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