The Mathematics of Darwin’s Legacy


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

Publisher: Springer Science & Business Media

ISBN: 9783034801225

Category: Mathematics

Page: 296

View: 9588

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.



Author: Jerzy A. Filar,Jacek B Krawczyk

Publisher: EOLSS Publications

ISBN: 1848262426

Category: Mathematical models

Page: 442

View: 2033

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


Author: Diederich Hinrichsen,Anthony J. Pritchard

Publisher: Springer Science & Business Media

ISBN: 3540441255

Category: Mathematics

Page: 804

View: 7704

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.

Contemporary Philosophy and Social Science

An Interdisciplinary Dialogue


Author: Michiru Nagatsu,Attilia Ruzzene

Publisher: Bloomsbury Publishing

ISBN: 1474248764

Category: Philosophy

Page: 408

View: 7407

How should we theorize about the social world? How can we integrate theories, models and approaches from seemingly incompatible disciplines? Does theory affect social reality? This state-of-the-art collection addresses contemporary methodological questions and interdisciplinary developments in the philosophy of social science. Facilitating a mutually enriching dialogue, chapters by leading social scientists are followed by critical evaluations from philosophers of social science. This exchange showcases recent major theoretical and methodological breakthroughs and challenges in the social sciences, as well as fruitful ways in which the analytic tools developed in philosophy of science can be applied to understand these advancements. The volume covers a diverse range of principles, methods, innovations and applications, including scientific and methodological pluralism, performativity of theories, causal inferences and applications of social science to policy and business. Taking a practice-orientated and interactive approach, it offers a new philosophy of social science grounded in and relevant to the emerging social science practice.

Dynamical Systems and Ergodic Theory


Author: Mark Pollicott,Michiko Yuri

Publisher: Cambridge University Press

ISBN: 9780521575997

Category: Mathematics

Page: 179

View: 3153

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


Author: John William Scott Cassels

Publisher: Cambridge University Press

ISBN: 9780521425308

Category: Mathematics

Page: 137

View: 4540

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


Author: Birger Iversen

Publisher: Cambridge University Press

ISBN: 0521435080

Category: Mathematics

Page: 298

View: 3369

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.



Author: N.A

Publisher: N.A


Category: Academic libraries

Page: N.A

View: 8006