The guide to PAMIR. Theory and use of parameterized adaptive multidimensional integration routines The book under review is a technical presentation of a suite of FORTRAN programs for multidimensional numerical integration over hypercubes, simplices, and hyper-rectangles. This software is called PAMIR and can be downloaded from a website where one finds licensing fees and contact information. PAMIR stands for “Parameterized Adaptive Multi-dimensional Integration Routines” all of which is described through five chapters and one appendix divided into nine sections. Chapter 1 contains an introduction and further data related to copyright, credits, etc. Herein is where the author establishes the several goals that have to be reached in the following chapters. par Chapter 2 attempts to be a general purpose manual and it seems that it does. In particular, the notation used by PAMIR is stated and the base regions for the programs (the side 1 hypercube, the standard simplex, etc) are defined along with some of their applications. The rest of the chapter is devoted to explain how to use the main programs of PAMIR. par The examples in Chapter 3 allow comparison with other integration programs. Among the latter are CUBPACK, VEGAS and MISER. par Chapter 4 focuses on those aspects of PAMIR that make it different from other known programs. Thereby it attempts to specify what place this technology occupies within the current context. par Chapter 5 describes in some detail the construction of the algorithms that constitute PAMIR and the theory that lies behind each. par The appendix has a special practical importance. For example, the user can find in it several rules that can be used to test PAMIR routines. par The bibliography contains 45 items that are somehow related to the construction of PAMIR and were published between 1971 and 2008.

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