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| (* ========================================================================= *) | |
| (* Theory of multivariate calculus in Euclidean space. *) | |
| (* ========================================================================= *) | |
| loadt "Library/card.ml";; (* For countable set theorems. *) | |
| loadt "Library/permutations.ml";; (* For determinants *) | |
| loadt "Library/products.ml";; (* For determinants and integrals *) | |
| loadt "Library/floor.ml";; (* Useful here and there *) | |
| loadt "Multivariate/misc.ml";; (* Background stuff *) | |
| loadt "Library/iter.ml";; (* n-fold iteration of function *) | |
| loadt "Library/grouptheory.ml";; (* Groups, to support homology *) | |
| loadt "Library/binomial.ml";; (* For Leibniz deriv formula etc. *) | |
| (* ------------------------------------------------------------------------- *) | |
| (* The main core theory. *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "Multivariate/metric.ml";; (* General topology, metric spaces *) | |
| loadt "Multivariate/homology.ml";; (* Singular homology theory *) | |
| loadt "Multivariate/vectors.ml";; (* Basic vectors, linear algebra *) | |
| loadt "Multivariate/determinants.ml";; (* Determinant and trace *) | |
| loadt "Multivariate/topology.ml";; (* Topology of R^n and much else *) | |
| loadt "Multivariate/convex.ml";; (* Convex sets and functions *) | |
| loadt "Multivariate/paths.ml";; (* Paths, simple connectedness etc. *) | |
| loadt "Multivariate/polytope.ml";; (* Faces, polytopes, polyhedra etc. *) | |
| loadt "Multivariate/degree.ml";; (* Brouwer degree, retracts etc. *) | |
| loadt "Multivariate/derivatives.ml";; (* Derivatives *) | |
| loadt "Multivariate/clifford.ml";; (* Geometric (Clifford) algebra *) | |
| loadt "Multivariate/integration.ml";; (* Integration, bounded variation *) | |
| loadt "Multivariate/measure.ml";; (* Lebesgue measure *) | |
| (* ------------------------------------------------------------------------- *) | |
| (* Complex numbers (as R^2), complex analysis and some more topology. *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "Multivariate/complexes.ml";; (* Complex numbers *) | |
| loadt "Multivariate/canal.ml";; (* Complex analysis *) | |
| loadt "Multivariate/transcendentals.ml";; (* Real & complex transcendentals *) | |
| loadt "Multivariate/realanalysis.ml";; (* Some analytical stuff on R *) | |
| loadt "Multivariate/moretop.ml";; (* Further topological results *) | |
| loadt "Multivariate/cauchy.ml";; (* Complex line integrals *) | |
| (* ------------------------------------------------------------------------- *) | |
| (* Updated database, for convenience where dynamic updating doesn't work. *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "Multivariate/complex_database.ml";; | |