Topics in Noncommutative Algebra : The Theorem of Campbell

1 Historical Overview.- Part I Algebraic Proofs of the CBHD Theorem.- 2 Background Algebra.- 3 The Main Proof of the CBHD Theorem.- 4 Some Short Proofs of the CBHD Theorem.- 5 Convergence and Associativity for the CBHD Theorem.- 6 CBHD, PBW and the Free Lie Algebras.- Part II Proofs of the Algebraic Prerequisites.- 7 Proofs of the Algebraic Prerequisites.- 8 Construction of Free Lie Algebras.- 9 Formal Power Series in One Indeterminate.- 10 Symmetric Algebra.