of these three categories.

This report discusses representative selections of the many mathematical areas that have been used to develop advanced technology and and thus have contributed to improving U.S. economic competitiveness. This discussion cannot be complete for a simple reason: most of mathematics would then be included, either directly or indirectly.

The major findings and recommendations of this report are summarized in chapter 5. The report concludes with a list of references and two appendices, one with a list of pertinent governmental, industrial and academic policy studies, the other with studies conducted by the mathematical sciences community over the past 8 years.

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