Background
Nagylaki, Thomas Andrew was born on January 29, 1944 in Budapest, Hungary. Came to Canada, 1957, came to the United States, 1964. Son of Andrew and Magda Nagylaki.
(Most of these notes were presented as part of a two-quart...)
Most of these notes were presented as part of a two-quarter course on theoretical population genetics at The University of Chicago. Almost all the students were either undergraduates in mathematics or graduate students in the biological sciences. The only prerequisites were calculus and matrices. As is done in these notes, biological background and additional mathematical techniques were covered when they were required. I have included the relevant problems assigned in the course. My aim in these notes is to formulate the various models fairly generally, making the biological assumptions quite explicit, and to perform the analyses relatively rigorously. I hope the choice and treatment of topics will enable the reader to understand and evaluate detailed analyses of specific models and applications in the literature. No attempt has been made to review the literature or to assign credit. Most of the references are to papers directly germane to the subjects and approaches covered here. Frequency of reference is not intended to reflect proportionate contribution. I am very grateful to Professor James F. Crow for helpful comments and to Mrs. Adelaide Jaffe for her excellent typing. I thank the National Science Foundation for its support (Grant No. DEB76-01550).
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(This book covers those areas of theoretical population ge...)
This book covers those areas of theoretical population genetics that can be investigated rigorously by elementary mathematical methods. I have tried to formulate the various models fairly generally and to state the biological as sumptions quite explicitly. I hope the choice and treatment of topics will en able the reader to understand and evaluate detailed analyses of many specific models and applications in the literature. Models in population genetics are highly idealized, often even over idealized, and their connection with observation is frequently remote. Further more, it is not practicable to measure the parameters and variables in these models with high accuracy. These regrettable circumstances amply justify the use of appropriate, lucid, and rigorous approximations in the analysis of our models, and such approximations are often illuminating even when exact solu tions are available. However, our empirical and theoretical limitations justify neither opaque, incomplete formulations nor unconvincing, inadequate analy ses, for these may produce uninterpretable, misleading, or erroneous results. Intuition is a principal source of ideas for the construction and investigation of models, but it can replace neither clear formulation nor careful analysis. Fisher (1930; 1958, pp. x, 23-24, 38) not only espoused similar ideas, but he recognized also that our concepts of intuition and rigor must evolve in time. The book is neither a review of the literature nor a compendium of results. The material is almost entirely self-contained. The first eight chapters are a thoroughly revised and greatly extended version of my published lecture notes (Nagylaki, 1977a).
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Nagylaki, Thomas Andrew was born on January 29, 1944 in Budapest, Hungary. Came to Canada, 1957, came to the United States, 1964. Son of Andrew and Magda Nagylaki.
Bachelor of Science, McGill University, Montreal, Quebec, Canada, 1964. Doctor of Philosophy, California Institute of Technology, 1969.
Research associate, U. Colorado, Boulder, 1969-1971; visiting assistant professor, Oregon State University, Corvallis, 1971-1972; project associate, University of Wisconsin, Madison, 1972-1974; assistant scientist, University of Wisconsin, Madison, 1974-1975; assistant professor, University of Chicago, 1975-1977; associate professor, University of Chicago, 1977-1982; professor, University of Chicago, since 1983.
(This book covers those areas of theoretical population ge...)
(Most of these notes were presented as part of a two-quart...)