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Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 78))

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Abstract

In this tutorial I try by means of several examples to illustrate the basic definitions and concepts of differentiable manifolds. There are few proofs (not that there are ever many at this level of the theory). This material should be sufficient to understand the use made of these concepts in the other contributions in this volume, or, at least, it should help in explaining the terminology employed.

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© 1981 D. Reidel Publishing Company

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Hazewinkel, M. (1981). A Tutorial Introduction to Differentiable Manifolds and Vector Fields. In: Hazewinkel, M., Willems, J.C. (eds) Stochastic Systems: The Mathematics of Filtering and Identification and Applications. NATO Advanced Study Institutes Series, vol 78. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8546-9_5

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  • DOI: https://doi.org/10.1007/978-94-009-8546-9_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-8548-3

  • Online ISBN: 978-94-009-8546-9

  • eBook Packages: Springer Book Archive

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