The concept of a vector space is a very useful one: Many sets of mathematical objects obey the same rules and can be summarised under this concept. Whether we are considering the solution set of a homogeneous linear system of equations or the set of \(2\pi \) -periodic functions; these sets form vector spaces and their elements are vectors, all subject to the same universally valid rules for vectors.

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Vector Spaces

  • Christian Karpfinger

摘要

The concept of a vector space is a very useful one: Many sets of mathematical objects obey the same rules and can be summarised under this concept. Whether we are considering the solution set of a homogeneous linear system of equations or the set of \(2\pi \) -periodic functions; these sets form vector spaces and their elements are vectors, all subject to the same universally valid rules for vectors.