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.

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.

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.

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.

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.

Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.

Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. The last chapter comprises many recent results, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included. This book contains many new illustrations of knotted surface diagrams. The reader of the book will become intimately aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case. As a survey, the book is a guide book to the extensive literature on knotted surfaces and will become a useful reference for graduate students and researchers in mathematics and physics.