One service mathematics has rendered the ~Et moi, ... , si j'avait su comment en revenir, human race. It has put common sense back je riy serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. o'; 'One service logic has rendered com puter science .. o'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Inhalt

1. Deterministic Models in Mathematical Genetics.- 1. Brief Outline of Microevolution Theory with Some Facts from Genetics.- 2. Basic Equations of Population Genetics.- 3. Simplest Population Models.- 4. Multiple Alleles.- 5. Sex-Limited and Sex-Linked Characters. Models Taking Account of Sex Distinctions.- 6. Populations With Deviations from Panmixia.- 7. Systems of Linked Populations. Migration.- 8. Population Dynamics in Changing Environment.- 9. Multi-Locus Models.- 2. Stochastic Models of Mathematical Genetics.- 10. Diffusion Models of Population Genetics.- 11. Random Genetic Drift in the Narrow Sense.- 12. Properties of Single-Locus Models under Several Microevolutionary Pressures.- 13. Random Genetic Drift in Subdivided Populations.- Conclusion.- Short Glossary of Genetic Terms.