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To show the importance of stochastic processes in the change of
gene frequencies, the authors discuss topics ranging from molecular
evolution to two-locus problems in terms of diffusion models.
Throughout their discussion, they come to grips with one of the
most challenging problems in population genetics--the ways in which
genetic variability is maintained in Mendelian populations. R.A.
Fisher, J.B.S. Haldane, and Sewall Wright, in pioneering works,
confirmed the usefulness of mathematical theory in population
genetics. The synthesis their work achieved is recognized today as
mathematical genetics, that branch of genetics whose aim is to
investigate the laws governing the genetic structure of natural
populations and, consequently, to clarify the mechanisms of
evolution. For the benefit of population geneticists without
advanced mathematical training, Professors Kimura and Ohta use
verbal description rather than mathematical symbolism wherever
practicable. A mathematical appendix is included.
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