Akin Ethan (77 results)

Condition: Good. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.

Broschiert. Condition: Gut. 306 Seiten; Das hier angebotene Buch stammt aus einer teilaufgelösten Bibliothek und kann die entsprechenden Kennzeichnungen aufweisen (Rückenschild, Instituts-Stempel.); der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 540. …

Condition: Good. Volume 662. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:3540089152.

Broschiert. Condition: Gut. IV, 205 Seiten; Der Erhaltungszustand des hier angebotenen Werks ist trotz seiner Bibliotheksnutzung sehr sauber. Es befindet sich neben dem Rückenschild lediglich ein Bibliotheksstempel im Buch; ordnungsgemäß entwidmet. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 360.…

PF. Condition: New.

Paperback. Condition: New. 1978 ed.

Condition: Good. Good condition. A copy that has been read but remains intact. May contain markings such as bookplates, stamps, limited notes and highlighting, or a few light stains.

Condition: New. In English.

Softcover. Condition: Sehr gut. Berlin, Springer 1979. gr.8°. IV, 206 p. Pbck. Lecture Notes in Biomathematics, 31.- Private stamp on title, otherwise in good condition.

Condition: New. Series: Graduate Studies in Mathematics. Num Pages: 261 pages. BIC Classification: PB. Weight in Grams: 530. . 2010. Reprint. Paperback. . . . .

Condition: New.

Paperback. Condition: New.

Condition: As New. Unread book in perfect condition.

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Atlases.- Function spaces.- Metric structures.- Manifolds of mappings.- Uniform and holder continuity.- Immersions and submersions.- Grassmannians and leaf immersions.- Finite dimensional manifolds.

Condition: New. In English.

hardcover. Condition: Good. Dust Jacket Condition: Includes dust jacket. Ex-library copy, with the usual markings/stickers/stamping present. Otherwise cover & text block show minimal shelf & handling wear, crisp and clean. Text/pictures are unmarked, binding intact and firm! A good reading copy.

Condition: New. Series: Graduate Studies in Mathematics. Num Pages: 261 pages. BIC Classification: PB. Weight in Grams: 530. . 2010. Reprint. Paperback. . . . . Books ship from the US and Ireland.

Condition: New. pp. 216.

Condition: New.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condition: Brand New. 216 pages. 9.61x6.69x0.49 inches. In Stock.

Hardcover. Condition: Very Good. 1st Edition. Hardcover, translated from the Russian, x + 373 pages, NOT ex-library. Printed in the USA. Owner's name concealed with a blank sticker inside the front board. Book is clean, bright, untanned, with unmarked text, free of stamps, firmly bound. Issued without a dust jacket. -- An advanced mathematical exploration of the genetic dynamics within populations. The book integrates classical genetics with modern algebraic and biomathematical approaches to examine population genetics through the lens of evolutionary equations, algebraic structures, and genetic recombination processes. Lyubich introduces foundational concepts in population genetics, such as classical genetic equations, Mendelian laws, and selection dynamics, while advancing into complex topics like nonassociative algebras, gene structure modeling, and quadratic evolutionary operators. The book emphasizes algebraic structures - such as Bernstein and genetic algebras - that allow for a mathematical representation of evolutionary processes, highlighting their role in understanding genetic variability, mutation, and selection dynamics. Key topics include the stability of genetic systems, convergence to equilibrium states, and recombination processes across loci and alleles. Lyubich also delves into the solution of Bernstein's problem and the application of algebraic tools to model selection dynamics and evolutionary operators. With a blend of theoretical discussions, mathematical models, and rigorous proofs, Mathematical Structures in Population Genetics serves as an essential resource for geneticists, mathematicians, and theoretical biologists seeking a deep understanding of the mathematical frameworks underlying evolutionary genetics. -- "In the theory of population genetics, fundamental results on its dynamical processes and equilibrium laws have emerged during the last few decades. This monograph systematically reviews these developments, beginning from elementary examples and explanations. Mathematically, the main emphasis of the book is the investigation of iterations of a quadratic or fractional quadratic operator in the simplex. By the use of some non-associative algebra, many results can be obtained in explicit form eg. the explicit description (Bernstein problem) of stationary quadratic operators, and the explicit solutions of a nonlinear evolutionary equation in the absence of selection, as well as general theorems on convergence to equilibrium in the presence of selection. Some of the algebraic theory used is interesting for its own sake. The reader can use this book either to obtain a thorough and comprehensive coverage of the present state of knowledge of the subject, and to learn new methods from it, or else to obtain an elementary introduction to the field.".…

Condition: As New. Unread book in perfect condition.

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The differential equations which model the action of selection and recombination are nonlinear equations which are impossible to It is even difficult to describe in general the solve explicitly. Recently, Shahshahani began using qualitative behavior of solutions. differential geometry to study these equations [28]. with this mono graph I hope to show that his ideas illuminate many aspects of pop ulation genetics. Among these are his proof and clarification of Fisher's Fundamental Theorem of Natural Selection and Kimura's Maximum Principle and also the effect of recombination on entropy. We also discover the relationship between two classic measures of 2 genetic distance: the x measure and the arc-cosine measure. There are two large applications. The first is a precise definition of the biological concept of degree of epistasis which applies to general (i.e. frequency dependent) forms of selection. The second is the unexpected appearance of cycling. We show that cycles can occur in the two-locus-two-allele model of selection plus recombination even when the fitness numbers are constant (i.e. no frequency dependence). This work is addressed to two different kinds of readers which accounts for its mode of organization. For the biologist, Chapter I contains a description of the entire work with brief indications of a proof for the harder results. I imagine a reader with some familiarity with linear algebra and systems of differential equations. Ideal background is Hirsch and Smale's text [15].…

Condition: New.

PF. Condition: New.

Condition: New. In English.

Condition: New. In English.

Paperback. Condition: New. 1978 ed.

Condition: New.