Abstract
This chapter introduces Euclidean space, discussing its algebra, its geometry, its analysis, and its topology. The main result of the chapter is that the continuous image of a compact set is compact.
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© 2016 Springer International Publishing AG
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Shurman, J. (2016). Euclidean Space. In: Calculus and Analysis in Euclidean Space. Undergraduate Texts in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-49314-5_2
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DOI: https://doi.org/10.1007/978-3-319-49314-5_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-49312-1
Online ISBN: 978-3-319-49314-5
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