The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.

Miguel Cabrera García is Professor in the Department of Mathematical Analysis at the University of Granada, Spain.

Preface; 1. Foundations; 2. Beginning the proof of the non-associative Vidav-Palmer theorem; 3. Concluding the proof of the non-associative Vidav-Palmer theorem; 4. Jordan spectral theory; References; Symbol index; Subject index.