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Jean Dieudonne has advanced the idea of the good mixture of mathematical spirit (essential to the well being of mathematics) in an individual. He differentiates between the tactician who faces a problem with old and well-tested tools and the strategist who imbeds the problem in a general theory with the result that the final solu tion often appears as a triviality. Each of the two aspects wiU suffer without the other, and the two must blend harmoniously as was the case with Hilbert.
With a little bit of tactics and a substantial amount of 8trater, the lectures of the third volume of this series again deal with the broad and lively topics of modern mathematics. What has been covered in these three volumes is a modest fraction of the universe of mathematics, a subject that must continue its position in the front ranks of knowledge with much unity and substantial variety