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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";;
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