Manifolds play an important role in topology, geometry, complex analysis, algebra, and classical mechanics. Learning manifolds differs from most other introductory mathematics in that the subject matter is often completely unfamiliar. This introduction guides readers by explaining the roles manifolds play in diverse branches of mathematics and physics. The book begins with the basics of general topology and gently moves to manifolds, the fundamental group, and covering spaces.

Product Description: Did you ever stop to consider that the only gift given to the adult Jesus was by a black man when Simon carried his cross? Or that the mighty, invincible Roman Army was defeated by an army of African warriors? Or that Jesus learned much of his healing powers and the power to raise the dead from a temple in Africa? These and many other stories are among the themes of The Cyrenean, by John M...read more

Product Description: In the 1990s the UN's potential has been reborn. Now the world must find ways to incorporate elements of that success into the UN system. No single reform or even expansion of UN military power can achieve the necessary changes; rather a series of political and military innovations are needed soon to develop a UN peace and security system...read more