1. Bioinformatics and Mathematics -- 2. Genetic Codes, Matrices, and Symmetrical Techniques -- 3. Biological Sequences, Sequence Alignment, and Statistics -- 4. Structures of DNA and Knot Theory -- 5. Protein Structures, Geometry, and Topology -- 6. Biological Networks and Graph Theory -- 7. Biological Systems, Fractals, and Systems Biology -- 8. Matrix Genetics, Hadamard Matrices, and Algebraic Biology -- 9. Bioinformatics, Denotational Mathematics, and Cognitive Informatics -- 10. Evolutionary Trends and Central Dogma of Informatics -- Appendix A. Bioinformatics notation and databases -- Appendix B. Bioinformatics and genetics time line -- Appendix C. Bioinformatics glossary.

Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.