Global stability in the early twenty-first century will be conditioned largely by how the United States handles its relations with China, Europe, and Russia -- the "geostrategic triad"-according to Zbigniew Brzezinski. Thus, the United States needs a well-defined strategy to manage the two "Eurasian power triangles": the United States, Japan, and China, and the United States, Europe, and Russia. With this work, he offers a comprehensive geostrategic road map for such U.S. engagement.