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.

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.

Evolutionary Dynamics

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

Get Book Here

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.

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

Get Book Here

Book Description


Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering

Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering PDF Author: George Jaiani
Publisher: Springer
ISBN: 3030104192
Category : Mathematics
Languages : en
Pages : 180

Get Book Here

Book Description
This book presents eleven peer-reviewed papers from the 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2017) held in Tbilisi, Georgia in December 2017. Written by researchers from the region (Georgia, Russia, Turkey) and from Western countries (France, Germany, Italy, Luxemburg, Spain, USA), it discusses key aspects of mathematics and informatics, and their applications in natural sciences and engineering. Featuring theoretical, practical and numerical contributions, the book appeals to scientists from various disciplines interested in applications of mathematics and informatics in natural sciences and engineering.

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

Get Book Here

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

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

Get Book Here

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.

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

Get Book Here

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.

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 :

Get Book Here

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.

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

Get Book Here

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.

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

Get Book Here

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