Ruang (matematik)
Dalam matematik, ruang ialah satu set (kadangkala dipanggil semesta) dengan beberapa struktur tambahan.
Walaupun matematik moden menggunakan banyak jenis ruang, seperti ruang Euclidean, ruang linear, ruang topologi, ruang Hilbert atau ruang kebarangkalian, ia tidak mentakrifkan tanggapan "ruang" itu sendiri.[1][butiran 1]
Catatan
[sunting | sunting sumber]- ^ Begitu juga, beberapa jenis nombor sedang digunakan (semula jadi, kamiran, rasional, nyata, kompleks); setiap satunya mempunyai definisi tersendiri; tetapi hanya "nombor" tidak digunakan sebagai tanggapan matematik dan tidak mempunyai definisi.
Rujukan
[sunting | sunting sumber]- ^ Carlson, Kevin (August 2, 2012). "Difference between 'space' and 'mathematical structure'?". Stack Exchange.
Sumber
[sunting | sunting sumber]- Bourbaki, Nicolas, Elements of mathematics, Hermann (original), Addison-Wesley (translation).
- Bourbaki, Nicolas (1968), Elements of mathematics: Theory of sets, Hermann (original), Addison-Wesley (translation).
- Eisenbud, David; Harris, Joe (2000), The Geometry of Schemes, Springer-Verlag, doi:10.1007/b97680, ISBN 978-0-387-98638-8.
- Gowers, Timothy; Barrow-Green, June; Leader, Imre, penyunting (2008), The Princeton Companion to Mathematics, Princeton University Press, ISBN 978-0-691-11880-2.
- Itô, Kiyosi, penyunting (1993), Encyclopedic dictionary of mathematics (ed. second), Mathematical society of Japan (original), MIT press (translation)
Pautan luar
[sunting | sunting sumber]
Kategori berkenaan Ruang (matematik) di Wikimedia Commons- Matilde Marcolli (2009) The notion of space in mathematics, from Caltech.
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