The Mathematics Of Darwin S Legacy

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The Mathematics of Darwin’s Legacy

Author : Fabio A. C. C. Chalub,José Francisco Rodrigues
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 53,8 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9783034801225

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The Mathematics of Darwin’s Legacy by Fabio A. C. C. Chalub,José Francisco Rodrigues Pdf

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.

Chaos, Information Processing and Paradoxical Games

Author : Gregoire Nicolis,Vasileios Basios
Publisher : World Scientific
Page : 476 pages
File Size : 49,8 Mb
Release : 2014-12-30
Category : Mathematics
ISBN : 9789814602143

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Chaos, Information Processing and Paradoxical Games by Gregoire Nicolis,Vasileios Basios Pdf

This volume provides a self-contained survey of the mechanisms presiding information processing and communication. The main thesis is that chaos and complexity are the basic ingredients allowing systems composed of interesting subunits to generate and process information and communicate in a meaningful way. Emphasis is placed on communication in the form of games and on the related issue of decision making under conditions of uncertainty. Biological, cognitive, physical, engineering and societal systems are approached from a unifying point of view, both analytically and by numerical simulation, using the methods of nonlinear dynamics and probability theory. Epistemological issues in connection with incompleteness and self-reference are also addressed. Contents:Glimpses at Nonlinear Dynamics & Chaos:Bohmian Trajectories in the Scattering Problem (G Contopoulos, N Delis and C Efthymiopoulos)Scaling Properties of the Lorenz System and Dissipative Nambu Mechanics (Minos Axenides and Emmanuel Floratos)Extreme Events in Nonlinear Lattices (G P Tsironis, N Lazarides, A Maluckov and Lj Hadžievski)Coarse Graining Approach to Chaos (Donal MacKernan)Fractal Parameter Space of Lorenz-like Attractors: A Hierarchical Approach (Tingli Xing, Jeremy Wojcik, Michael A Zaks and Andrey Shilnikov)Chaos and Information:Quantum Theory of Jaynes' Principle, Bayes' Theorem, and Information (Hermann Haken)Information Processing with Page–Wootters States (Stam Nicolis)Stochastic Resonance and Information Processing (C Nicolis)Selforganization of Symbols and Information (Werner Ebeling and Rainer Feistel)Biological Information Processing:Historical Contingency in Controlled Evolution (Peter Schuster)Long-Range Order and Fractality in the Structure and Organization of Eukaryotic Genomes (Dimitris Polychronopoulos, Giannis Tsiagkas, Labrini Athanasopoulou, Diamantis Sellis and Yannis Almirantis)Towards Resolving the Enigma of HOX Gene Collinearity (Spyros Papageorgiou)Complexity, Chaos & Cognition:Thermodynamics of Cerebral Cortex Assayed by Measures of Mass Action (Walter J Freeman)Describing the Neuron Axons Network of the Human Brain by Continuous Flow Models (J Hizanidis, P Katsaloulis, D A Verganelakis and A Provata)Cognition and Language: From Apprehension to Judgment — Quantum Conjectures (F T Arecchi)Dynamical Systems++ for a Theory of Biological System (Kunihiko Kaneko)Logic Dynamics for Deductive Inference — Its Stability and Neural Basis (Ichiro Tsuda)Dynamical Games and Collective Behaviours:Microscopic Approach to Species Coexistence Based on Evolutionary Game Dynamics (Celso Grebogi, Ying-Cheng Lai and Wen-Xu Wang)Phase Transitions in Models of Bird Flocking (H Christodoulidi, K van der Weele, Ch G Antonopoulos and T Bountis)Animal Construction as a Free Boundary Problem: Evidence of Fractal Scaling Laws (S C Nicolis)Extended Self Organised Criticality in Asynchronously Tuned Cellular Automata (Yukio-Pegio Gunji)Epilogue:A Posthumous Dialogue with John Nicolis: IERU (Otto E Rössler)Appendix:Selected References from John Nicolis' Bibliography Readership: Graduate students, researchers, and academics from various fields interested in chaos, information processing and complexity science. Key Features:Highlights the universality, relevance and interdisciplinary dimension of chaos and complexityBrings together topics and issues that have so far been addressed independently of each other and establishes unexpected connectionsProvides complementary coverage of problems of concern as viewed by different well-established expertsKeywords:Nonlinear Dynamics;Chaos;Self-Organization;Emergence;Probability and Information;Predictability;Non-Equilibrium Systems;Irreversibility;Systems Biology

Proving Darwin

Author : Gregory Chaitin
Publisher : Vintage
Page : 146 pages
File Size : 41,8 Mb
Release : 2013-02-26
Category : Science
ISBN : 9781400077984

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Proving Darwin by Gregory Chaitin Pdf

Groundbreaking mathematician Gregory Chaitin gives us the first book to posit that we can prove how Darwin’s theory of evolution works on a mathematical level. For years it has been received wisdom among most scientists that, just as Darwin claimed, all of the Earth’s life-forms evolved by blind chance. But does Darwin’s theory function on a purely mathematical level? Has there been enough time for evolution to produce the remarkable biological diversity we see around us? It’s a question no one has yet answered—in fact, no one has attempted to answer it until now. In this illuminating and provocative book, Gregory Chaitin elucidates the mathematical scheme he’s developed that can explain life itself, and examines the works of mathematical pioneers John von Neumann and Alan Turing through the lens of biology. Fascinating and thought-provoking, Proving Darwin makes clear how biology may have found its greatest ally in mathematics.

Darwin's Legacy

Author : John Dupr=acute=rcub}e,John Dupré
Publisher : Unknown
Page : 138 pages
File Size : 42,6 Mb
Release : 2003
Category : Evolution (Biology)
ISBN : 0191700282

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Darwin's Legacy by John Dupr=acute=rcub}e,John Dupré Pdf

Charles Darwin transformed our understanding of the universe and our place in it with his development of the theory of evolution. John Dupr=acute=rcub}e presents a lucid, witty introduction to evolution and what it means for our view of humanity, the natural world, and religion.

Encyclopedia of Theoretical Ecology

Author : Dr. Alan Hastings,Dr. Louis Gross
Publisher : Univ of California Press
Page : 1877 pages
File Size : 43,5 Mb
Release : 2012-05-31
Category : Nature
ISBN : 9780520951785

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Encyclopedia of Theoretical Ecology by Dr. Alan Hastings,Dr. Louis Gross Pdf

This major reference is an overview of the current state of theoretical ecology through a series of topical entries centered on both ecological and statistical themes. Coverage ranges across scales—from the physiological, to populations, landscapes, and ecosystems. Entries provide an introduction to broad fields such as Applied Ecology, Behavioral Ecology, Computational Ecology, Ecosystem Ecology, Epidemiology and Epidemic Modeling, Population Ecology, Spatial Ecology and Statistics in Ecology. Others provide greater specificity and depth, including discussions on the Allee effect, ordinary differential equations, and ecosystem services. Descriptions of modern statistical and modeling approaches and how they contributed to advances in theoretical ecology are also included. Succinct, uncompromising, and authoritative—a "must have" for those interested in the use of theory in the ecological sciences.

Theory-based Ecology

Author : Liz Pásztor,Zoltán Botta-Dukát,Gabriella Magyar,Tamás Czárán,Géza Meszéna
Publisher : Oxford University Press
Page : 337 pages
File Size : 54,5 Mb
Release : 2016
Category : Science
ISBN : 9780199577859

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Theory-based Ecology by Liz Pásztor,Zoltán Botta-Dukát,Gabriella Magyar,Tamás Czárán,Géza Meszéna Pdf

The first text to adopt a Darwinian approach to develop a universal, coherent and robust theory of ecology and provide a unified treatment of ecology and evolution.

Nonlinear Dynamics and Complexity

Author : Valentin Afraimovich,Albert C. J. Luo,Xilin Fu
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 43,5 Mb
Release : 2013-11-22
Category : Technology & Engineering
ISBN : 9783319023533

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Nonlinear Dynamics and Complexity by Valentin Afraimovich,Albert C. J. Luo,Xilin Fu Pdf

This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.

Matrix Inequalities for Iterative Systems

Author : Hanjo Taubig
Publisher : CRC Press
Page : 144 pages
File Size : 47,7 Mb
Release : 2017-02-03
Category : Mathematics
ISBN : 9781351679091

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Matrix Inequalities for Iterative Systems by Hanjo Taubig Pdf

The book reviews inequalities for weighted entry sums of matrix powers. Applications range from mathematics and CS to pure sciences. It unifies and generalizes several results for products and powers of sesquilinear forms derived from powers of Hermitian, positive-semidefinite, as well as nonnegative matrices. It shows that some inequalities are valid only in specific cases. How to translate the Hermitian matrix results into results for alternating powers of general rectangular matrices? Inequalities that compare the powers of the row and column sums to the row and column sums of the matrix powers are refined for nonnegative matrices. Lastly, eigenvalue bounds and derive results for iterated kernels are improved.

Parabolic Equations in Biology

Author : Benoît Perthame
Publisher : Springer
Page : 199 pages
File Size : 47,7 Mb
Release : 2015-09-09
Category : Mathematics
ISBN : 9783319195001

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Parabolic Equations in Biology by Benoît Perthame Pdf

This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.

The Philosophy of Social Evolution

Author : Jonathan Birch
Publisher : Oxford University Press
Page : 281 pages
File Size : 53,6 Mb
Release : 2017-10-13
Category : Philosophy
ISBN : 9780191047367

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The Philosophy of Social Evolution by Jonathan Birch Pdf

From mitochondria to meerkats, the natural world is full of spectacular examples of social behaviour. In the early 1960s Bill Hamilton changed the way we think about how such behaviour evolves. He introduced three key innovations - now known as Hamilton's rule, kin selection, and inclusive fitness - which have been enormously influential, but which remain the subject of fierce controversy. Hamilton's pioneering work kick-started a research program now known as social evolution theory. This is a book about the philosophical foundations and future prospects of that program. Part I, "Foundations", is a careful exposition and defence of Hamilton's ideas, with a few modifications along the way. In Part II, "Extensions", Jonathan Birch shows how these ideas can be applied to phenomena including cooperation in micro-organisms, cooperation among the cells of a multicellular organism, and culturally evolved cooperation in the earliest human societies. Birch argues that real progress can be made in understanding microbial evolution, evolutionary transitions, and human evolution by viewing them through the lens of social evolution theory, provided the theory is interpreted with care and adapted where necessary. The Philosophy of Social Evolution places social evolution theory on a firm philosophical footing and sets out exciting new directions for further work.

The Work and Workings of Human Communication

Author : Robert E. Sanders
Publisher : John Wiley & Sons
Page : 304 pages
File Size : 51,9 Mb
Release : 2021-03-02
Category : Language Arts & Disciplines
ISBN : 9781119706526

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The Work and Workings of Human Communication by Robert E. Sanders Pdf

Discover the fundamentals of human communication with this comprehensive and insightful resource Written in four sections, The Work and Workings of Human Communication identifies the underlying fundamentals that make our communication distinctively human. These fundamentals are the common ground that tie together the many topics and subject matters covered by the study and discipline of communication. They are also the basis of the unique contribution of the communication discipline to the social sciences. Professor, researcher and theorist Robert E. Sanders starts by focusing on what is unique about human communication and moves on to an examination of the complexities of scientific inquiry in the social sciences in general and in the communication discipline specifically. At the heart of the matter is the fact that humans are thinking beings who can make choices and therefore are not entirely predictable. This points towards new topics and questions that are likely to arise as the discipline evolves. Sanders’ approach leads to recognition of the fact that communication is at the center of how humans build our ways of life and participate together. By focusing on the underlying fundamentals that give rise to the discipline’s topics and subject areas, The Work and Workings of Human Communication encourages students to engage in independent thought about what they want to contribute by: Emphasizing the importance of communication in creating, sustaining or changing—and participating in—our ways of life on an interpersonal level and on a societal level Recognizing that human communication is inherently collaborative; people affect situations by interacting with others, not acting on others Explaining the history, current agendas and possible future of the social science side of the Communication discipline A perfect resource for new graduate students in introductory communication courses who have an interest in the social science side of the discipline, The Work and Workings of Human Communication is also highly valuable for undergraduate communication and liberal arts students who don’t possess a background in the discipline.

Game-Theoretical Models in Biology

Author : Mark Broom,Jan Rychtář
Publisher : CRC Press
Page : 623 pages
File Size : 53,8 Mb
Release : 2022-08-03
Category : Mathematics
ISBN : 9781000623680

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Game-Theoretical Models in Biology by Mark Broom,Jan Rychtář Pdf

Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology, Second Edition presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, the authors explore many applications of game theory to biology, making the text useful to biologists as well. The book describes a wide range of topics in evolutionary games, including matrix games, replicator dynamics, the hawk-dove game, and the prisoner’s dilemma. It covers the evolutionarily stable strategy, a key concept in biological games, and offers in-depth details of the mathematical models. Most chapters illustrate how to use Python to solve various games. Important biological phenomena, such as the sex ratio of so many species being close to a half, the evolution of cooperative behaviour, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modelling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book shows how evolutionary game theory is used in the modelling of these diverse biological phenomena. In this thoroughly revised new edition, the authors have added three new chapters on the evolution of structured populations, biological signalling games, and a topical new chapter on evolutionary models of cancer. There are also new sections on games with time constraints that convert simple games to potentially complex nonlinear ones; new models on extortion strategies for the Iterated Prisoner’s Dilemma and on social dilemmas; and on evolutionary models of vaccination, a timely section given the current Covid pandemic. Features Presents a wide range of biological applications of game theory. Suitable for researchers and professionals in mathematical biology and the life sciences, and as a text for postgraduate courses in mathematical biology. Provides numerous examples, exercises, and Python code.

Statistical Inference for Piecewise-deterministic Markov Processes

Author : Romain Azais,Florian Bouguet
Publisher : John Wiley & Sons
Page : 300 pages
File Size : 44,9 Mb
Release : 2018-08-14
Category : Mathematics
ISBN : 9781786303028

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Statistical Inference for Piecewise-deterministic Markov Processes by Romain Azais,Florian Bouguet Pdf

Piecewise-deterministic Markov processes form a class of stochastic models with a sizeable scope of applications: biology, insurance, neuroscience, networks, finance... Such processes are defined by a deterministic motion punctuated by random jumps at random times, and offer simple yet challenging models to study. Nevertheless, the issue of statistical estimation of the parameters ruling the jump mechanism is far from trivial. Responding to new developments in the field as well as to current research interests and needs, Statistical inference for piecewise-deterministic Markov processes offers a detailed and comprehensive survey of state-of-the-art results. It covers a wide range of general processes as well as applied models. The present book also dwells on statistics in the context of Markov chains, since piecewise-deterministic Markov processes are characterized by an embedded Markov chain corresponding to the position of the process right after the jumps.

The Routledge Handbook of Evolution and Philosophy

Author : Richard Joyce
Publisher : Routledge
Page : 569 pages
File Size : 51,8 Mb
Release : 2017-08-16
Category : Philosophy
ISBN : 9781317655565

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The Routledge Handbook of Evolution and Philosophy by Richard Joyce Pdf

In recent years, the relation between contemporary academic philosophy and evolutionary theory has become ever more active, multifaceted, and productive. The connection is a bustling two-way street. In one direction, philosophers of biology make significant contributions to theoretical discussions about the nature of evolution (such as "What is a species?"; "What is reproductive fitness?"; "Does selection operate primarily on genes?"; and "What is an evolutionary function?"). In the other direction, a broader group of philosophers appeal to Darwinian selection in an attempt to illuminate traditional philosophical puzzles (such as "How could a brain-state have representational content?"; "Are moral judgments justified?"; "Why do we enjoy fiction?"; and "Are humans invariably selfish?"). In grappling with these questions, this interdisciplinary collection includes cutting-edge examples from both directions of traffic. The thirty contributions, written exclusively for this volume, are divided into six sections: The Nature of Selection; Evolution and Information; Human Nature; Evolution and Mind; Evolution and Ethics; and Evolution, Aesthetics, and Art. Many of the contributing philosophers and psychologists are international leaders in their fields.

Becoming a Christian

Author : Ola Hossjer
Publisher : Wipf and Stock Publishers
Page : 372 pages
File Size : 46,7 Mb
Release : 2018-02-21
Category : Religion
ISBN : 9781498246323

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Becoming a Christian by Ola Hossjer Pdf

What influences the decision to become a Christian? In the seventeenth century the famous scientist Blaise Pascal viewed this as a game, with truth our adversary. Pascal argued that we are in the game whether we like it or not. Christianity is either true or not, and we have to weigh the two alternatives. According to Pascal's Wager we have everything to win and nothing to lose by taking a leap of faith and becoming a Christian. In this book Ola Hossjer extends Pascal's Wager and argues that we respond to the Christian message very differently. There are three main attitudes among people: the first group follows Pascal's advice, even if evidence before the decision is incomplete; the second group requires convincing evidence at first; and members of the third group will not become Christians regardless of evidence. Hossjer contends that the decision consists of three components: a religious disposition from birth, evidence, and a willingness to act. Although we weigh evidence and will differently, our priorities may change after a life crisis so that we either reevaluate evidence or become more positive toward Christianity. This is illustrated by a number of people who became Christians.