The extraordinary advancements in differential topology and the way those contemporary advances were utilized as a chief learn instrument in quantum box thought are awarded right here in a mode reflecting the certainly two-sided interplay among mathematical physics and utilized arithmetic. the writer, following his earlier paintings (Nash/Sen: Differential Topology for Physicists, educational Press, 1983), covers elliptic differential and pseudo-differential operators, Atiyah-Singer index idea, topological quantum box idea, string thought, and knot thought. The explanatory method serves to light up and make clear those theories for graduate scholars and learn employees coming into the sphere for the 1st time.
* Treats differential geometry, differential topology, and quantum box theory
* contains elliptic differential and pseudo-differential operators, Atiyah-Singer index thought, topological quantum box conception, string concept, and knot theory
* Tackles difficulties of quantum box thought utilizing differential topology as a device