Mathematical Structures in Population Genetics (Biomathematics), , Lyubich, Yuri
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Mathematical Structures in Population Genetics (Biomathematic
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Artikelmerkmale
- Artikelzustand
- ISBN
- 9783540533375
Über dieses Produkt
Product Identifiers
Publisher
Springer
ISBN-10
3540533370
ISBN-13
9783540533375
eBay Product ID (ePID)
5311791
Product Key Features
Number of Pages
X, 373 Pages
Publication Name
Mathematical Structures in Population Genetics
Language
English
Publication Year
1992
Subject
Life Sciences / Ecology, Biostatistics, Life Sciences / Genetics & Genomics, Applied
Type
Textbook
Subject Area
Mathematics, Science, Medical
Series
Biomathematics Ser.
Format
Hardcover
Dimensions
Item Weight
25.4 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
91-029941
Dewey Edition
20
Series Volume Number
22
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
575.150151
Original Language
Russian
Synopsis
Mathematical methods have been applied successfully to population genet ics for a long time. Even the quite elementary ideas used initially proved amazingly effective. For example, the famous Hardy-Weinberg Law (1908) is basic to many calculations in population genetics. The mathematics in the classical works of Fisher, Haldane and Wright was also not very complicated but was of great help for the theoretical understanding of evolutionary pro cesses. More recently, the methods of mathematical genetics have become more sophisticated. In use are probability theory, stochastic processes, non linear differential and difference equations and nonassociative algebras. First contacts with topology have been established. Now in addition to the tra ditional movement of mathematics for genetics, inspiration is flowing in the opposite direction, yielding mathematics from genetics. The present mono grapll reflects to some degree both patterns but especially the latter one. A pioneer of this synthesis was S. N. Bernstein. He raised-and partially solved- -the problem of characterizing all stationary evolutionary operators, and this work was continued by the author in a series of papers (1971-1979). This problem has not been completely solved, but it appears that only cer tain operators devoid of any biological significance remain to be addressed. The results of these studies appear in chapters 4 and 5. The necessary alge braic preliminaries are described in chapter 3 after some elementary models in chapter 2.", Mathematical methods have been applied successfully to population genet ics for a long time. Even the quite elementary ideas used initially proved amazingly effective. For example, the famous Hardy-Weinberg Law (1908) is basic to many calculations in population genetics. The mathematics in the classical works of Fisher, Haldane and Wright was also not very complicated but was of great help for the theoretical understanding of evolutionary pro cesses. More recently, the methods of mathematical genetics have become more sophisticated. In use are probability theory, stochastic processes, non linear differential and difference equations and nonassociative algebras. First contacts with topology have been established. Now in addition to the tra ditional movement of mathematics for genetics, inspiration is flowing in the opposite direction, yielding mathematics from genetics. The present mono grapll reflects to some degree both patterns but especially the latter one. A pioneer of this synthesis was S. N. Bernstein. He raised-and partially solved- -the problem of characterizing all stationary evolutionary operators, and this work was continued by the author in a series of papers (1971-1979). This problem has not been completely solved, but it appears that only cer tain operators devoid of any biological significance remain to be addressed. The results of these studies appear in chapters 4 and 5. The necessary alge braic preliminaries are described in chapter 3 after some elementary models in chapter 2.
LC Classification Number
QH323.5QH324.2-324.
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