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This book draft gives the theory of a new method for p dimensional adaptiveintegration by repeated 2^p subdivision of simplexes and hypercubes. A newmethod of constructing high order integration routines for these geometriespermits adjustable samplings of the integration region controlled by usersupplied parameters. An outline of the programs and use instructions are alsoincluded in the draft. The fortran programs are not included, but will bepublished with this draft as a book.

Parameterized Adaptive Multidimensional Integration Routines (PAMIR): Localization by Repeated 2^p Subdivision