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Topics on Continua

2018-07-24 Mathematics
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Release : 2018-07-24
Genre : Mathematics
Kind : eBook
Book Rating : 029/5 ( reviews)

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Book Synopsis Topics on Continua by : Sergio Macías

Download or read book Topics on Continua written by Sergio Macías. This book was released on 2018-07-24. Available in PDF, EPUB and Kindle. Book excerpt: 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

2005-05-26 Mathematics
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Release : 2005-05-26
Genre : Mathematics
Kind : eBook
Book Rating : 167/5 ( reviews)

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Book Synopsis Topics on Continua by : Sergio Macias

Download or read book Topics on Continua written by Sergio Macias. This book was released on 2005-05-26. Available in PDF, EPUB and Kindle. Book excerpt: 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

2011-11-06 Mathematics
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Release : 2011-11-06
Genre : Mathematics
Kind : eBook
Book Rating : 97X/5 ( reviews)

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Book Synopsis Inverse Limits by : W.T. Ingram

Download or read book Inverse Limits written by W.T. Ingram. This book was released on 2011-11-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Continua

2020-12-17 Mathematics
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Release : 2020-12-17
Genre : Mathematics
Kind : eBook
Book Rating : 834/5 ( reviews)

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Book Synopsis Continua by : Howard Cook

Download or read book Continua written by Howard Cook. This book was released on 2020-12-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mechanics of Generalized Continua

2010-03-24 Mathematics
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Release : 2010-03-24
Genre : Mathematics
Kind : eBook
Book Rating : 956/5 ( reviews)

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Book Synopsis Mechanics of Generalized Continua by : Gérard A. Maugin

Download or read book Mechanics of Generalized Continua written by Gérard A. Maugin. This book was released on 2010-03-24. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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