Unknotting the Heart


Book Description

Since the mid-1990s, as China has downsized and privatized its state-owned enterprises, severe unemployment has created a new class of urban poor and widespread social and psychological disorders. In Unknotting the Heart, Jie Yang examines this understudied group of workers and their experiences of being laid off, "counseled," and then reoriented to the market economy. Using fieldwork from reemployment programs, community psychosocial work, and psychotherapy training sessions in Beijing between 2002 and 2013, Yang highlights the role of psychology in state-led interventions to alleviate the effects of mass unemployment. She pays particular attention to those programs that train laid-off workers in basic psychology and then reemploy them as informal "counselors" in their capacity as housemaids and taxi drivers. These laid-off workers are filling a niche market created by both economic restructuring and the shortage of professional counselors in China, helping the government to defuse intensified class tension and present itself as a nurturing and kindly power. In reality, Yang argues, this process creates both new political complicity and new conflicts, often along gender lines. Women are forced to use the moral virtues and work ethics valued under the former socialist system, as well as their experiences of overcoming depression and suffering, as resources for their new psychological care work. Yang focuses on how the emotions, potentials, and "hearts" of these women have become sites of regulation, market expansion, and political imagination.




Unknotting


Book Description







An Invitation to Knot Theory


Book Description

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra. The text begins with an introduction to virtual knots and counted invariants. It then covers the normalized f-polynomial (Jones polynomial) and other skein invariants before discussing algebraic invariants, such as the quandle and biquandle. The book concludes with two applications of virtual knots: textiles and quantum computation.




The Knot Book


Book Description

Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.




Being and Motion


Book Description

More than at any other time in human history, we live in an age defined by movement and mobility; and yet, we lack a unifying theory which takes this seriously as a starting point for philosophy. The history of philosophy has systematically explained movement as derived from something else that does not move: space, eternity, force, and time. Why, when movement has always been central to human societies, did a philosophy based on movement never take hold? This book finally overturns this long-standing metaphysical tradition by placing movement at the heart of philosophy. In doing so, Being and Motion provides a completely new understanding of the most fundamental categories of ontology from a movement-oriented perspective: quality, quantity, relation, modality, and others. It also provides the first history of the philosophy of motion, from early prehistoric mythologies up to contemporary ontologies. Through its systematic ontology of movement, Being and Motion provides a path-breaking historical ontology of our present.




Encyclopedia of Distances


Book Description

This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a developing field now regarded as an essential tool in many areas of pure and applied mathematics. Its publication coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate metrics have become a crucial goal in computational biology, image analysis, speech recognition and information retrieval. The content focuses on providing academics with an invaluable comprehensive listing of the main available distances. As well as standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries, and includes a wealth of fascinating curiosities that enable non-specialists to deploy research tools previously viewed as arcane. Its value-added context is certain to open novel avenues of research.




NCI Monographs


Book Description




Grid Homology for Knots and Links


Book Description

Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent years, the subject has undergone transformative changes thanks to its connections with a number of other mathematical disciplines, including gauge theory; representation theory and categorification; contact geometry; and the theory of pseudo-holomorphic curves. Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to some of the above developments. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams. Applications include computations of the unknotting number and slice genus of torus knots (asked first in the 1960s and settled in the 1990s), and tools to study variants of knot theory in the presence of a contact structure. Additional topics are presented to prepare readers for further study in holomorphic methods in low-dimensional topology, especially Heegaard Floer homology. The book could serve as a textbook for an advanced undergraduate or part of a graduate course in knot theory. Standard background material is sketched in the text and the appendices.




Knot Theory and Manifolds


Book Description