The Mathematics of Darwin’s Legacy

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Author: Fabio A. C. C. Chalub,José Francisco Rodrigues

Publisher: Springer Science & Business Media

ISBN: 9783034801225

Category: Mathematics

Page: 296

View: 4309

The book presents a general overview of mathematical models in the context of evolution. It covers a wide range of topics such as population genetics, population dynamics, speciation, adaptive dynamics, game theory, kin selection, and stochastic processes. Written by leading scientists working at the interface between evolutionary biology and mathematics the book is the outcome of a conference commemorating Charles Darwin's 200th birthday, and the 150th anniversary of the first publication of his book "On the origin of species". Its chapters vary in format between general introductory and state-of-the-art research texts in biomathematics, in this way addressing both students and researchers in mathematics, biology and related fields. Mathematicians looking for new problems as well as biologists looking for rigorous description of population dynamics will find this book fundamental.

MATHEMATICAL MODELS – Volume I

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Author: Jerzy A. Filar,Jacek B Krawczyk

Publisher: EOLSS Publications

ISBN: 1848262426

Category: Mathematical models

Page: 442

View: 1615

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Mathematical Systems Theory I

Modelling, State Space Analysis, Stability and Robustness

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Author: Diederich Hinrichsen,Anthony J. Pritchard

Publisher: Springer Science & Business Media

ISBN: 3540441255

Category: Mathematics

Page: 804

View: 2629

This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.

The Oxford Handbook of Rationality

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Author: Alfred R. Mele

Publisher: Oxford University Press

ISBN: 0195145399

Category: Philosophy

Page: 477

View: 6637

Rationality has long been a central topic in philosophy, crossing standard divisions and categories. 'The Oxford Handbook of Rationality' is a reference to the current state of play in this vital and interdisciplinary area of study.

Dynamical Systems and Ergodic Theory

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Author: Mark Pollicott,Michiko Yuri

Publisher: Cambridge University Press

ISBN: 9780521575997

Category: Mathematics

Page: 179

View: 5947

This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem).

LMSST: 24 Lectures on Elliptic Curves

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Author: John William Scott Cassels

Publisher: Cambridge University Press

ISBN: 9780521425308

Category: Mathematics

Page: 137

View: 1852

The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory. This book, addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Wei finite basis theorem, points of finite order (Nagell-Lutz), etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. In an introductory section the Hasse principle for conics is discussed. The book closes with sections on the theory over finite fields (the "Riemann hypothesis for function fields") and recently developed uses of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory is assumed, but no knowledge either of algebraic number theory or algebraic geometry is needed. The p-adic numbers are introduced from scratch. Many examples and exercises are included for the reader, and those new to elliptic curves, whether they are graduate students or specialists from other fields, will find this a valuable introduction.

Hyperbolic Geometry

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Author: Birger Iversen

Publisher: Cambridge University Press

ISBN: 0521435080

Category: Mathematics

Page: 298

View: 2991

Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields.

Choice

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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Academic libraries

Page: N.A

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Evolutionstheorie und Dynamische Systeme

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Author: Josef Hofbauer,Karl Sigmund

Publisher: N.A

ISBN: 9780521358385

Category: Mathematics

Page: 341

View: 6377

This textbook is an introduction to dynamical systems and its applications to evolutionary game theory, mathematical ecology, and population genetics. This first English edition is a translation from the authors' successful German edition which has already made an enormous impact on the teaching and study of mathematical biology. The book's main theme is to discuss the solution of differential equations that arise from examples in evolutionary biology. Topics covered include the Hardy–Weinberg law, the Lotka–Volterra equations for ecological models, genetic evolution, aspects of sociobiology, and mutation and recombination. There are numerous examples and exercises throughout and the reader is led up to some of the most recent developments in the field. Thus the book will make an ideal introduction to the subject for graduate students in mathematics and biology coming to the subject for the first time. Research workers in evolutionary theory will also find much of interest here in the application of powerful mathematical techniques to the subject.

Ecology Abstracts

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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Ecology

Page: N.A

View: 9089

Indexes journal articles in ecology and environmental science. Nearly 700 journals are indexed in full or in part, and the database indexes literature published from 1982 to the present. Coverage includes habitats, food chains, erosion, land reclamation, resource and ecosystems management, modeling, climate, water resources, soil, and pollution.

Forthcoming Books

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Author: Rose Arny

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 1012