Abstract
The revolutionary growth of experimental data in the sciences, and the availability of unprecedented computing power shape and challenge all the fields of mathematics, from traditional to contemporary, and from continuous to discrete.
There is no problem in the whole of mathematics which cannot be solved by direct counting
Ernst Mach
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Notes
- 1.
Two disjoint Jordan curves are linked in \(\mathbb {R}^3\) if there is no sphere \(S^2\) separating them.
- 2.
A sequence of group morphisms is exact if the image of each map is the kernel for the following morphism, as in Fig. 5.19.
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Ludu, A. (2022). Boundary in Discrete Mathematics. In: Boundaries of a Complex World. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-031-07361-8_5
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DOI: https://doi.org/10.1007/978-3-031-07361-8_5
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