Differentiation and integration of vectors

Bridgeman, Tony; Chatwin, P. C.; Plumpton, C.

doi:10.1007/978-1-349-06041-2_5

Differentiation and integration of vectors

Tony Bridgeman^3,4,
P. C. Chatwin^3,4 &
C. Plumpton³

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Part of the book series: Core Books in Advanced Mathematics ((CBAM))

Abstract

We have already met vectors which depend on the value of a scalar variable; for example, if r is the position vector of a point on a straight line

$$r=a+\lambda m$$

and the value of r varies as the scalar λ varies. Such vectors frequently occur in geometry and in mechanics (where the scalar variable is often time t).

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Authors and Affiliations

University of London School Examinations Department, UK
Tony Bridgeman (Chief Examiner in Advanced Level Mathematics, Senior Lecturer in Applied Mathematics), P. C. Chatwin (Assessor in Advanced Level Mathematics, Senior Lecturer in Applied Mathematics) & C. Plumpton (Moderator in Mathematics)
University of Liverpool, UK
Tony Bridgeman (Chief Examiner in Advanced Level Mathematics, Senior Lecturer in Applied Mathematics) & P. C. Chatwin (Assessor in Advanced Level Mathematics, Senior Lecturer in Applied Mathematics)

Authors

Tony Bridgeman
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P. C. Chatwin
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C. Plumpton
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Bridgeman, T., Chatwin, P.C., Plumpton, C. (1983). Differentiation and integration of vectors. In: Vectors. Core Books in Advanced Mathematics. Palgrave, London. https://doi.org/10.1007/978-1-349-06041-2_5

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DOI: https://doi.org/10.1007/978-1-349-06041-2_5
Publisher Name: Palgrave, London
Print ISBN: 978-0-333-31791-4
Online ISBN: 978-1-349-06041-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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