(* ========================================================================= *) (* 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/binomial.ml";; (* For Leibniz deriv formula etc. *) (* ------------------------------------------------------------------------- *) (* The main core theory. *) (* ------------------------------------------------------------------------- *) loadt "Multivariate/metric.ml";; (* General topology, metric spaces *) 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";;