Evolutionary Equations with Applications in Natural Sciences

Evolutionary Equations with Applications in Natural Sciences PDF Author: Jacek Banasiak
Publisher: Springer
ISBN: 3319113224
Category : Mathematics
Languages : en
Pages : 505

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Book Description
With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory. The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.

Evolutionary Equations with Applications in Natural Sciences

Evolutionary Equations with Applications in Natural Sciences PDF Author: Jacek Banasiak
Publisher: Springer
ISBN: 3319113224
Category : Mathematics
Languages : en
Pages : 505

Get Book Here

Book Description
With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory. The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.

Nonlinear Evolution Equations and Applications

Nonlinear Evolution Equations and Applications PDF Author: Gheorghe Morosanu
Publisher: Springer Science & Business Media
ISBN: 9789027724861
Category : Science
Languages : en
Pages : 362

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Book Description


Singularly Perturbed Evolution Equations with Applications to Kinetic Theory

Singularly Perturbed Evolution Equations with Applications to Kinetic Theory PDF Author: J. R. Mika
Publisher: World Scientific
ISBN: 9789810221256
Category : Science
Languages : en
Pages : 332

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Book Description
In recent years there appeared a large number of papers as well as chapters in more general monographs devoted to evolution equations containing small (or large) parameters. In this book it is intended to gather the existing results as well as to introduce new ones on the field of initial value problems for singularly perturbed evolution equations of the resonance type. Such equations are of great interest in the applied sciences, particularly in the kinetic theory which is chosen as the main field of application for the asymptotic theory developed in the monograph.

The Equations of Life

The Equations of Life PDF Author: Charles S. Cockell
Publisher: Basic Books
ISBN: 154164459X
Category : Science
Languages : en
Pages : 366

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Book Description
A groundbreaking argument for why alien life will evolve to be much like life here on Earth We are all familiar with the popular idea of strange alien life wildly different from life on earth inhabiting other planets. Maybe it's made of silicon! Maybe it has wheels! Or maybe it doesn't. In The Equations of Life, biologist Charles S. Cockell makes the forceful argument that the laws of physics narrowly constrain how life can evolve, making evolution's outcomes predictable. If we were to find on a distant planet something very much like a lady bug eating something like an aphid, we shouldn't be surprised. The forms of life are guided by a limited set of rules, and as a result, there is a narrow set of solutions to the challenges of existence. A remarkable scientific contribution breathing new life into Darwin's theory of evolution, The Equations of Life makes a radical argument about what life can -- and can't -- be.

The Natural Sciences Know Nothing of Evolution

The Natural Sciences Know Nothing of Evolution PDF Author: A E Wilder-Smith
Publisher: Word for Today
ISBN: 9781931713504
Category :
Languages : en
Pages :

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Book Description
Today in nearly all colleges, universities, high schools and elementary schools the theory of evolution is taught as scientific fact, a theory that states that creation evolved from a single accident. But proof exists to dispute that theory as a hoax. Dr. Wilder-Smith gives one proof after another disputing the evolutionary philosophy of life. Every theory surrounding evolution is discussed and examined in length, and then compared with the undisputed truth that we are all created by God.

Numerical Methods for Evolutionary Differential Equations

Numerical Methods for Evolutionary Differential Equations PDF Author: Uri M. Ascher
Publisher: SIAM
ISBN: 0898716527
Category : Mathematics
Languages : en
Pages : 403

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Book Description
Develops, analyses, and applies numerical methods for evolutionary, or time-dependent, differential problems.

Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics

Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics PDF Author: Mimmo Iannelli
Publisher: Birkhäuser
ISBN: 3034880855
Category : Mathematics
Languages : en
Pages : 419

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Book Description
The international conference on which the book is based brought together many of the world's leading experts, with particular effort on the interaction between established scientists and emerging young promising researchers, as well as on the interaction of pure and applied mathematics. All material has been rigorously refereed. The contributions contain much material developed after the conference, continuing research and incorporating additional new results and improvements. In addition, some up-to-date surveys are included.

An Introduction to Undergraduate Research in Computational and Mathematical Biology

An Introduction to Undergraduate Research in Computational and Mathematical Biology PDF Author: Hannah Callender Highlander
Publisher: Springer Nature
ISBN: 303033645X
Category : Mathematics
Languages : en
Pages : 479

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Book Description
Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research. Some of the topics discussed include: • Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons • Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments • Network structure and the dynamics of biological systems • Using neural networks to identify bird species from birdsong samples • Modeling fluid flow induced by the motion of pulmonary cilia Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.

Evolutionary Dynamics

Evolutionary Dynamics PDF Author: Martin A. Nowak
Publisher: Harvard University Press
ISBN: 0674417755
Category : Science
Languages : en
Pages : 390

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Book Description
At a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context of its evolution. Evolutionary change is the consequence of mutation and natural selection, which are two concepts that can be described by mathematical equations. Evolutionary Dynamics is concerned with these equations of life. In this book, Martin A. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His work introduces readers to the powerful yet simple laws that govern the evolution of living systems, no matter how complicated they might seem. Evolution has become a mathematical theory, Nowak suggests, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics. His book presents a range of analytical tools that can be used to this end: fitness landscapes, mutation matrices, genomic sequence space, random drift, quasispecies, replicators, the Prisoner’s Dilemma, games in finite and infinite populations, evolutionary graph theory, games on grids, evolutionary kaleidoscopes, fractals, and spatial chaos. Nowak then shows how evolutionary dynamics applies to critical real-world problems, including the progression of viral diseases such as AIDS, the virulence of infectious agents, the unpredictable mutations that lead to cancer, the evolution of altruism, and even the evolution of human language. His book makes a clear and compelling case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.

Ill-Posed Problems in Natural Sciences

Ill-Posed Problems in Natural Sciences PDF Author: Andrei N. Tikhonov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112313933
Category : Mathematics
Languages : en
Pages : 608

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Book Description
No detailed description available for "Ill-Posed Problems in Natural Sciences".