The book consists of eight Chapters, Elementary Number Theory, Algebra, and Linear Algebra Representations of Codons and the Protein Code Differential Geometry of Space Curves and Supplements to Groups Elementary Protein Structure and (r, ω)-pairs Elementary Protein Structure and Affine Geometry Comparison of Approaches, similar Codes, Mutations, and Redundancy Linear Systems Theory Repetition Codes and Nonlinear Systems. The first Chapter contains basic mathematics needed for the rest of the book, i.e. groups, rings and in particular finite fields, as well as linear algebra. This may serve as an introduction to those readers not acquainted with these mathematical topics. Within Chapter 2, some introductory remarks on Codons and the protein code are given, while in Section 2 the definition, representation, and geometric aspects of Codons are presented. Thereby, 3-Codons are defined as three-dimensional vectors over the field weiterlesen