In particular, a [[vector space]] and specifically a [[Euclidean space]] can be seen as generalizations of the concept of a Euclidean coordinate system. Important varieties of vector spaces with more imposed structure include [[Banach space]] and [[Hilbert space]]. Distance measurement is abstracted as the concept of [[metric space]] and volume measurement leads to the concept of [[measure space]]. | In particular, a [[vector space]] and specifically a [[Euclidean space]] can be seen as generalizations of the concept of a Euclidean coordinate system. Important varieties of vector spaces with more imposed structure include [[Banach space]] and [[Hilbert space]]. Distance measurement is abstracted as the concept of [[metric space]] and volume measurement leads to the concept of [[measure space]]. |