Modeling By Nonlinear Differential Equations: Dissipative And Conservative Processes PDF Download
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Author: Paul Phillipson
Publisher: World Scientific
ISBN: 9814468169
Category : Mathematics
Languages : en
Pages : 238
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Book Description
This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions
Author: Paul Phillipson
Publisher: World Scientific
ISBN: 9814468169
Category : Mathematics
Languages : en
Pages : 238
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Book Description
This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions
Author: Peter Schuster
Publisher: Springer
ISBN: 3319395025
Category : Science
Languages : en
Pages : 728
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Book Description
This book has developed over the past fifteen years from a modern course on stochastic chemical kinetics for graduate students in physics, chemistry and biology. The first part presents a systematic collection of the mathematical background material needed to understand probability, statistics, and stochastic processes as a prerequisite for the increasingly challenging practical applications in chemistry and the life sciences examined in the second part. Recent advances in the development of new techniques and in the resolution of conventional experiments at nano-scales have been tremendous: today molecular spectroscopy can provide insights into processes down to scales at which current theories at the interface of physics, chemistry and the life sciences cannot be successful without a firm grasp of randomness and its sources. Routinely measured data is now sufficiently accurate to allow the direct recording of fluctuations. As a result, the sampling of data and the modeling of relevant processes are doomed to produce artifacts in interpretation unless the observer has a solid background in the mathematics of limited reproducibility. The material covered is presented in a modular approach, allowing more advanced sections to be skipped if the reader is primarily interested in applications. At the same time, most derivations of analytical solutions for the selected examples are provided in full length to guide more advanced readers in their attempts to derive solutions on their own. The book employs uniform notation throughout, and a glossary has been added to define the most important notions discussed.
Author: Ramon G. Rubio
Publisher: Springer
ISBN: 3642340709
Category : Science
Languages : en
Pages : 781
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Book Description
Bringing together over fifty contributions on all aspects of nonlinear and complex dynamics, this impressive topical collection is both a scientific and personal tribute, on the occasion of his 70th birthday, by many outstanding colleagues in the broad fields of research pursued by Prof. Manuel G Velarde. The topics selected reflect the research areas covered by the famous Instituto Pluridisciplinar at the Universidad Complutense of Madrid, which he co-founded over two decades ago, and include: fluid physics and related nonlinear phenomena at interfaces and in other geometries, wetting and spreading dynamics, geophysical and astrophysical flows, and novel aspects of electronic transport in anharmonic lattices, as well as topics in neurodynamics and robotics.
Author: Manfred Eigen
Publisher:
ISBN: 019857021X
Category : Computers
Languages : en
Pages : 755
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Book Description
This book presents a vivid argument for the almost lost idea of a unity of all natural sciences. It starts with the "strange" physics of matter, including particle physics, atomic physics and quantum mechanics, cosmology, relativity and their consequences (Chapter I), and it continues by describing the properties of material systems that are best understood by statistical and phase-space concepts (Chapter II). These lead to entropy and to the classical picture of quantitative information, initially devoid of value and meaning (Chapter III). Finally, "information space" and dynamics within it are introduced as a basis for semantics (Chapter IV), leading to an exploration of life and thought as new problems in physics (Chapter V). Dynamic equations - again of a strange (but very general) nature - bring about the complex familiarity of the world we live in. Surprising new results in the life sciences open our eyes to the richness of physical thought, and they show us what can and what cannot be explained by a Darwinian approach. The abstract physical approach is applicable to the origins of life, of meaningful information and even of our universe.
Author: Hunter, Maureen
Publisher: OIBooks-Libros
ISBN: 1896239994
Category : Drama
Languages : en
Pages : 944
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Book Description
Book is clean and tight. No writing in text. Like New
Author: Hildegard Meyer-Ortmanns
Publisher: Springer Science & Business Media
ISBN: 3642181376
Category : Science
Languages : en
Pages : 384
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Book Description
With contributions from a team of leading experts, this volume provides a comprehensive survey of recent achievements in our scientific understanding of evolution. The questions it asks concern the beginnings of the universe, the origin of life and the chances of its arising at all, the role of contingency, and the search for universal features in the plethora of evolutionary phenomena. Rather than oversimplified or premature answers, the chapters provide a clear picture of how these essential problems are being tackled, enabling the reader to understand current thinking and open questions. The tools employed stem from a range of disciplines including mathematics, physics, biochemistry and cell biology. Self-organization as an overarching concept is demonstrated in the most diverse areas: from galaxy formation in the universe to spindle and aster formation in the cell. Chemical master equations, population dynamics, and evolutionary game theory are presented as suitable frameworks for understanding the universal mechanisms and organizational principles observed in a wide range of living units, ranging from cells to societies. This book will provide engaging reading and food for thought for all those seeking a deeper understanding of the science of evolution.
Author: Muriel Gargaud
Publisher: Springer Nature
ISBN: 3662650932
Category : Science
Languages : en
Pages : 3376
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Book Description
Now in its third edition the Encyclopedia of Astrobiology serves as the key to a common understanding in the extremely interdisciplinary community of astrobiologists. Each new or experienced researcher and graduate student in adjacent fields of astrobiology will appreciate this reference work in the quest to understand the big picture. The carefully selected group of active researchers contributing to this work are aiming to give a comprehensive international perspective on and to accelerate the interdisciplinary advance of astrobiology. The interdisciplinary field of astrobiology constitutes a joint arena where provocative discoveries are coalescing concerning, e.g. the prevalence of exoplanets, the diversity and hardiness of life, and its chances for emergence. Biologists, astrophysicists, (bio)-chemists, geoscientists and space scientists share this exciting mission of revealing the origin and commonality of life in the Universe. With its overview articles and its definitions the Encyclopedia of Astrobiology not only provides a common language and understanding for the members of the different disciplines but also serves for educating a new generation of young astrobiologists who are no longer separated by the jargon of individual scientific disciplines. This new edition offers ~170 new entries. More than half of the existing entries were updated, expanded or supplemented with figures supporting the understanding of the text. Especially in the fields of astrochemistry and terrestrial extremophiles but also in exoplanets and space sciences in general there is a huge body of new results that have been taken into account in this new edition. Because the entries in the Encyclopedia are in alphabetical order without regard for scientific field, this edition includes a section “Astrobiology by Discipline” which lists the entries by scientific field and subfield. This should be particularly helpful to those enquiring about astrobiology, as it illustrates the broad and detailed nature of the field.
Author: Richard L. Summers
Publisher: Cambridge Scholars Publishing
ISBN: 1527557898
Category : Science
Languages : en
Pages : 505
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Book Description
The central question in the biological sciences for the past 100 years has concerned an understanding of how living systems differ from other general physical phenomena and what makes these systems unique. With new developments in the fields of nonequilibrium thermodynamics, systems theory, chaos, and information theory over the past few decades, there has been growing interest in finally answering the question first posed by Erwin Schrödinger in the 1940s concerning the true scientific nature of living systems. Similarly, there is also increasing interest within the biologic community for a more holistic and non-reductionist methodology. The approach followed in this book builds on a foundation of information theory and semiotics while integrating basic thermodynamic considerations and systems theory to form a singular unifying concept that is proposed to be the essential process of living systems. However, the premise presented is much more than simply the exposition of a new hypothesis. This book describes the logical progression of thought incorporating a diverse array of established scientific ideas that were used in the conceptualization of a dynamic mathematical framework that can be employed as a novel analytic means for the study of living systems and their fundamental processes.
Author: Gerad M. Smith
Publisher: Rowman & Littlefield
ISBN: 1793654778
Category : Social Science
Languages : en
Pages : 317
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Book Description
The Middle Tanana Valley in Alaska remains one of the most important regions of the continent for archaeological research. In The Gift of the Middle Tanana: Dene Pre-Colonial History in the Alaskan Interior, Gerad Smith explores the history, ethnography, and archaeological record of the Native people in this region during the late Holocene. Smith creates an interpretive framework informed by Alaskan Native traditions, focusing on traditional place names and the deep-play rituals of reciprocity. Smith sets forth the case that the local themes and oral traditions of the potlatch are better understood not as singular ceremonial events but as a mechanism of regional social cohesion that dictated everyday life. The Gift of the Middle Tanana illustrates how the role of reciprocal deep-play shaped a traditional society that has lasted over a thousand years.
Author: Klaus Mainzer
Publisher: Springer Science & Business Media
ISBN: 3662132141
Category : Science
Languages : en
Pages : 373
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Book Description
This new edition also treats smart materials and artificial life. A new chapter on information and computational dynamics takes up many recent discussions in the community.
