Topics on Continua

Topics on Continua
Author: Sergio Macías
Publisher: Springer
Total Pages: 451
Release: 2018-07-24
Genre: Mathematics
ISBN: 3319909029

This book is a significant companion text to the existing literature on continuum theory. It opens with background information of continuum theory, so often missing from the preceding publications, and then explores the following topics: inverse limits, the Jones set function T, homogenous continua, and n-fold hyperspaces. In this new edition of the book, the author builds on the aforementioned topics, including the unprecedented presentation of n-fold hyperspace suspensions and induced maps on n-fold hyperspaces. The first edition of the book has had a remarkable impact on the continuum theory community. After twelve years, this updated version will also prove to be an excellent resource within the field of topology.

Topics on Continua

Topics on Continua
Author: Sergio Macias
Publisher: CRC Press
Total Pages: 296
Release: 2005-05-26
Genre: Mathematics
ISBN: 1000611167

Specialized as it might be, continuum theory is one of the most intriguing areas in mathematics. However, despite being popular journal fare, few books have thoroughly explored this interesting aspect of topology. In Topics on Continua, Sergio Macias, one of the field's leading scholars, presents four of his favorite continuum topics: inv

Inverse Limits

Inverse Limits
Author: W.T. Ingram
Publisher: Springer Science & Business Media
Total Pages: 229
Release: 2011-11-06
Genre: Mathematics
ISBN: 146141797X

Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also turn the study of a dynamical system consisting of a space and a self-map into a study of a (likely more complicated) space and a self-homeomorphism. In four chapters along with an appendix containing background material the authors develop the theory of inverse limits. The book begins with an introduction through inverse limits on [0,1] before moving to a general treatment of the subject. Special topics in continuum theory complete the book. Although it is not a book on dynamics, the influence of dynamics can be seen throughout; for instance, it includes studies of inverse limits with maps from families of maps that are of interest to dynamicists such as the logistic and the tent families. This book will serve as a useful reference to graduate students and researchers in continuum theory and dynamical systems. Researchers working in applied areas who are discovering inverse limits in their work will also benefit from this book.

Mechanics of Generalized Continua

Mechanics of Generalized Continua
Author: Gérard A. Maugin
Publisher: Springer Science & Business Media
Total Pages: 337
Release: 2010-03-24
Genre: Mathematics
ISBN: 1441956956

In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.

Continua

Continua
Author: Howard Cook
Publisher: CRC Press
Total Pages: 420
Release: 2020-12-18
Genre: Mathematics
ISBN: 1000153924

This volume contains the proceedings of the special session on Modern Methods in Continuum Theory presented at the 100th Annual Joint Mathematics Meetings held in Cincinnati, Ohio. It also features the Houston Problem Book which includes a recently updated set of 200 problems accumulated over several years at the University of Houston.;These proceedings and problems are aimed at pure and applied mathematicians, topologists, geometers, physicists and graduate-level students in these disciplines.

Thermomechanics of Continua

Thermomechanics of Continua
Author: Krzysztof Wilmanski
Publisher: Springer Science & Business Media
Total Pages: 284
Release: 2012-12-06
Genre: Science
ISBN: 3642589340

The notion of continuum thermodynamics, adopted in this book, is primarily understood as a strategy for development of continuous models of various physical systems. The examples of such a strategy presented in the book have both the classical character (e. g. thermoelastic materials, viscous fluids, mixtures) and the extended one (ideal gases, Maxwellian fluids, thermoviscoelastic solids etc. ). The latter has been limited intentionally to non-relativistic models; many important relativistic applications of the true extended thermodynamics will not be considered but can be found in the other sources. The notion of extended thermodynamics is also adopted in a less strict sense than suggested by the founders. For instance, in some cases we allow the constitutive dependence not only on the fields themselves but also on some derivatives. In this way, the new thermodynamical models may have some features of the usual nonequilibrium models and some of those of the extended models. This deviation from the strategy of extended thermodynamics is motivated by practical aspects; frequently the technical considerations of extended thermodynamics are so involved that one can no longer see important physical properties of the systems. This book has a different form from that usually found in books on continuum mechanics and continuum thermodynamics. The presentation of the formal structure of continuum thermodynamics is not always as rigorous as a mathematician might anticipate and the choice of physical subjects is too disperse to make a physicist happy.

The Mechanics and Thermodynamics of Continua

The Mechanics and Thermodynamics of Continua
Author: Morton E. Gurtin
Publisher: Cambridge University Press
Total Pages: 721
Release: 2010-04-19
Genre: Science
ISBN: 1139482157

The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.

Communication Yearbook 30

Communication Yearbook 30
Author: Christina S. Beck
Publisher: Psychology Press
Total Pages: 474
Release: 2006-05-25
Genre: Language Arts & Disciplines
ISBN: 0805860150

This is an annual review of current research in communication which provides readers with the latest research in the field of communication studies. Topics covered include journalism and broadcasting practice, and intercultural negotiation.

Set Function T

Set Function T
Author: Sergio Macías
Publisher: Springer Nature
Total Pages: 225
Release: 2021-04-20
Genre: Mathematics
ISBN: 3030650812

This book presents, in a clear and structured way, the set function \mathcal{T} and how it evolved since its inception by Professor F. Burton Jones in the 1940s. It starts with a very solid introductory chapter, with all the prerequisite material for navigating through the rest of the book. It then gradually advances towards the main properties, Decomposition theorems, \mathcal{T}-closed sets, continuity and images, to modern applications. The set function \mathcal{T} has been used by many mathematicians as a tool to prove results about the semigroup structure of the continua, and about the existence of a metric continuum that cannot be mapped onto its cone or to characterize spheres. Nowadays, it has been used by topologists worldwide to investigate open problems in continuum theory. This book can be of interest to both advanced undergraduate and graduate students, and to experienced researchers as well. Its well-defined structure make this book suitable not only for self-study but also as support material to seminars on the subject. Its many open problems can potentially encourage mathematicians to contribute with further advancements in the field.

Continuum Theory

Continuum Theory
Author: Sam Nadler
Publisher: CRC Press
Total Pages: 366
Release: 2017-07-12
Genre: Mathematics
ISBN: 1351990535

A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology. Introduces continuum theory through a combination of classical and modern techniques. Annotation copyright Book News, Inc. Portland, Or.