Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group.

Prefaces, Introduction, Notation, 1 Groups, 2 Topological Spaces, 3 Topological Groups, 4 Topological Division Rings, 5 Linear Representations of Compact Topological Groups, 6 Locally Compact Commutative Groups, 7 The Concept of a Lie Group, 8 The Structure of Compact Groups, 9 Locally Isomorphic Groups, 10 Lie Groups and Lie Algebras, 11 The Structure of Compact Lie Groups, References, Index.