Differential Geometry and Mathematical Physics - Part 1下载

This book is the first of two volumes on differential geometry and mathematical physics. It is the result of our teaching these subjects at the University of Leipzig over the last few decades to students of physics and of mathematics. The present volume is devoted to manifolds, Lie groups and the theory of Hamiltonian systems. The second volume will deal with fibre bundles, topology and gauge field theory, including aspects of the theory of gravity.