Population genetics provides the sharpest analytical tool in biological research. It has a strict mathematical foundation and its results are used in all parts of biology, from simple evolutionary explanations to complex bioinformatics programs for genome analyses.
We are writing a book that introduces the formal side of population genetics by a derivation of ten important results. Working through proofs is an often under-used method to obtain a deeper understanding of an interesting intellectual field. Proof analysis can be made at different levels of ambition we have tried to present the derivations so that the successive steps can be carefully followed or just glanced over, depending on the needs and interests of the reader. All assumptions that underlie the derivations have been made explicit, so that the reader will know under what conditions the results are applicable and how they can be modified. The ten topics have been chosen to cover a broad range of population genetics using examples of direct biological relevance.