Braids and Dynamics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Braids and Dynamics PDF full book. Access full book title Braids and Dynamics by Jean-Luc Thiffeault. Download full books in PDF and EPUB format.
Author: Jean-Luc Thiffeault
Publisher: Springer Nature
ISBN: 3031047907
Category : Mathematics
Languages : en
Pages : 147
Get Book Here
Book Description
This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. In addition, its final chapters also briefly discuss current applications in the emerging field of analyzing braids created from trajectory data. While written with beginning graduate students, advanced undergraduates, or practicing applied mathematicians in mind, the book is also suitable for pure mathematicians seeking real-world examples. Readers can benefit from some knowledge of homotopy and homology groups, but these concepts are briefly reviewed. Some familiarity with Matlab is also helpful for the computational examples.
Author: Jean-Luc Thiffeault
Publisher: Springer Nature
ISBN: 3031047907
Category : Mathematics
Languages : en
Pages : 147
Get Book Here
Book Description
This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. In addition, its final chapters also briefly discuss current applications in the emerging field of analyzing braids created from trajectory data. While written with beginning graduate students, advanced undergraduates, or practicing applied mathematicians in mind, the book is also suitable for pure mathematicians seeking real-world examples. Readers can benefit from some knowledge of homotopy and homology groups, but these concepts are briefly reviewed. Some familiarity with Matlab is also helpful for the computational examples.
Author: Joelle Bearstail
Publisher: Mascot Books
ISBN: 9781645434979
Category :
Languages : en
Pages : 38
Get Book Here
Book Description
Bear and his friend Ben feel like they are living two lives: one, where native traditions--like long hair--are a crucial part of their identities, and the other, where indigenous expressions are mocked and treated with ignorance. When the boys encounter bullying because of the braids they wear, these two worlds collide. Seeking guidance from his beloved grandma, Bear confides his doubts and questions himself and his heritage. Bear's grandma knows about the strength it takes to overcome hardships, and with her help, Bear and Ben develop a plan to strengthen their connection to their roots while also bridging the gap between their schoolmates and their families. Seamlessly blending discussions of modern indigeneity and universal experiences of bullying and resilience, Bear's Braid is an essential and of-the-moment book that belongs on every bookshelf, and fits in easily with the classics of social justice children's literature.
Author: Wojciech Tomasz Wójcik
Publisher:
ISBN: 9789090227634
Category :
Languages : en
Pages : 127
Get Book Here
Book Description
Author: Kunio Murasugi
Publisher: Springer Science & Business Media
ISBN: 9401593191
Category : Mathematics
Languages : en
Pages : 287
Get Book Here
Book Description
In Chapter 6, we describe the concept of braid equivalence from the topological point of view. This will lead us to a new concept braid homotopy that is discussed fully in the next chapter. As just mentioned, in Chapter 7, we shall discuss the difference between braid equivalence and braid homotopy. Also in this chapter, we define a homotopy braid invariant that turns out to be the so-called Milnor number. Chapter 8 is a quick review of knot theory, including Alexander's theorem. While, Chapters 9 is devoted to Markov's theorem, which allows the application of this theory to other fields. This was one of the motivations Artin had in mind when he began studying braid theory. In Chapter 10, we discuss the primary applications of braid theory to knot theory, including the introduction of the most important invariants of knot theory, the Alexander polynomial and the Jones polynomial. In Chapter 11, motivated by Dirac's string problem, the ordinary braid group is generalized to the braid groups of various surfaces. We discuss these groups from an intuitive and diagrammatic point of view. In the last short chapter 12, we present without proof one theorem, due to Gorin and Lin [GoL] , that is a surprising application of braid theory to the theory of algebraic equations.
Author: Vagn Lundsgaard Hansen
Publisher: Cambridge University Press
ISBN: 9780521387576
Category : Mathematics
Languages : en
Pages : 208
Get Book Here
Book Description
Essays develop the elementary theory of Artin Braid groups geometrically and via homotopy theory, discuss the link between knot theory and the combinatorics of braid groups through Markou's Theorem and investigate polynomial covering maps.
Author: Bruce L. Rhoads
Publisher: Cambridge University Press
ISBN: 1108173780
Category : Science
Languages : en
Pages : 544
Get Book Here
Book Description
Rivers are important agents of change that shape the Earth's surface and evolve through time in response to fluctuations in climate and other environmental conditions. They are fundamental in landscape development, and essential for water supply, irrigation, and transportation. This book provides a comprehensive overview of the geomorphological processes that shape rivers and that produce change in the form of rivers. It explores how the dynamics of rivers are being affected by anthropogenic change, including climate change, dam construction, and modification of rivers for flood control and land drainage. It discusses how concern about environmental degradation of rivers has led to the emergence of management strategies to restore and naturalize these systems, and how river management techniques work best when coordinated with the natural dynamics of rivers. This textbook provides an excellent resource for students, researchers, and professionals in fluvial geomorphology, hydrology, river science, and environmental policy.
Author: Patrick Dehornoy
Publisher: Birkhäuser
ISBN: 3034884427
Category : Mathematics
Languages : en
Pages : 637
Get Book Here
Book Description
This is the award-winning monograph of the Sunyer i Balaguer Prize 1999. The book presents recently discovered connections between Artin’s braid groups and left self-distributive systems, which are sets equipped with a binary operation satisfying the identity x(yz) = (xy)(xz). Although not a comprehensive course, the exposition is self-contained, and many basic results are established. In particular, the first chapters include a thorough algebraic study of Artin’s braid groups.
Author: Christian Kassel
Publisher: Springer Science & Business Media
ISBN: 0387685480
Category : Mathematics
Languages : en
Pages : 349
Get Book Here
Book Description
In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices. Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.
Author: Patrick Dehornoy
Publisher: American Mathematical Soc.
ISBN: 0821844318
Category : Mathematics
Languages : en
Pages : 339
Get Book Here
Book Description
Since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several different approaches have been used to understand this phenomenon. This text provides an account of those approaches, involving varied objects & domains as combinatorial group theory, self-distributive algebra & finite combinatorics.
Author: Joan S. Birman
Publisher: American Mathematical Soc.
ISBN: 9780821854150
Category : Mathematics
Languages : en
Pages : 768
Get Book Here
Book Description
Artin introduced braid groups into mathematical literature in 1925. In the years since, and particularly in the last five to ten years, braid groups have played diverse and unexpected roles in widely different areas of mathematics, including knot theory, homotopy theory, singularity theory, and dynamical systems. Most recently, the area of operator algebras has brought striking new applications to knots and links. This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held at the University of California, Santa Cruz, in July 1986. This interdisciplinary conference brought together leading specialists in diverse areas of mathematics to discuss their discoveries and to exchange ideas and problems concerning this important and fundamental group. Because the proceedings present a mix of expository articles and new research, this volume will be of interest to graduate students and researchers who wish to learn more about braids, as well as more experienced workers in this area. The required background includes the basics of knot theory, group theory, and low-dimensional topology.
