Abstract
We will begin by introducing, or reviewing, three basic topics that are necessary for the remainder of this book; vector spaces, determinants, and derivatives of multivariable functions. In all three cases the topics are presented in a manor that is consistent with the needs of the rest of this book.
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References
R. Abraham, J.E. Marsden, and T. Ratiu. Manifolds, Tensor Analysis, and Applications. Springer, 2 edition, 1991.
Anonymous. Determinants. http://www.amarketplaceofideas.com/wp-content/uploads/2013/12/Determinant-Derivation.pdf, n.d.
Stephen Friedberg, Arnold Insel, and Lawrence Spence. Linear Algebra. Prentice Hall, 3 edition, 1997.
Jarrold Marsden and Michael Hoffman. Elementary Classical Analysis. W.H. Freeman and Company, 2 edition, 1993.
James Stewart. Calculus. Brooks/Cole Cengage Learning, 6 edition, 2009.
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Fortney, J.P. (2018). Background Material. In: A Visual Introduction to Differential Forms and Calculus on Manifolds. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-96992-3_1
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DOI: https://doi.org/10.1007/978-3-319-96992-3_1
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-96991-6
Online ISBN: 978-3-319-96992-3
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