Abstract
A vector function of a scalar variable is a vector \( {\vec{\text{a}}} \) whose components are real functions of t: \( {\vec{\text{a}}} = {\vec{\text{a}}}(t) = a_{x} (t ) {\vec{\text{e}}}_{x} + a_{y} (t ) {\vec{\text{e}}}_{y} + a_{z} (t ) {\vec{\text{e}}}_{z} . \) The notions of limit, continuity, differentiability are defined componentwise for the vector \( {\vec{\text{a}}}(t) \).
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© 2015 Springer-Verlag Berlin Heidelberg
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Bronshtein, I.N., Semendyayev, K.A., Musiol, G., Mühlig, H. (2015). Vector Analysis and Vector Fields. In: Handbook of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46221-8_13
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DOI: https://doi.org/10.1007/978-3-662-46221-8_13
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-662-46221-8
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