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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.
A richly illustrated 2004 textbook on knot theory; minimal prerequisites but modern in style and content.
This volume contains the proceedings of the ICTS program Knot Theory and Its Applications (KTH-2013), held from December 10–20, 2013, at IISER Mohali, India. The meeting focused on the broad area of knot theory and its interaction with other disciplines of theoretical science. The program was divided into two parts. The first part was a week-long advanced school which consisted of minicourses. The second part was a discussion meeting that was meant to connect the school to the modern research areas. This volume consists of lecture notes on the topics of the advanced school, as well as surveys and research papers on current topics that connect the lecture notes with cutting-edge research in the broad area of knot theory.
Well-written and engaging, this hands-on approach features many exercises to be completed by readers. Topics include knot definition and equivalence, combinatorial and algebraic invariants, unknotting operations, and virtual knots. 2016 edition.
More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed Heegaard-Floer homology, that lifts the Alexander polynomial. These two significantly different theories are closely related and the dependencies are the object of intensive study. These ideas mark the beginning of a new era in knot theory that includes relationships with four-dimensional problems and the creation of new forms of algebraic topology relevant to knot theory. The theory of skein modules is an older development also having its roots in Jones discovery. Another significant and related development is the theory of virtual knots originated independently by Kauffman and by Goussarov Polyak and Viro in the '90s. All these topics and their relationships are the subject of the survey papers in this book.
This volume covers a new class of solitons, the contributions wavelets are making to solving scientific problems, how mathematics is improving medical imaging, and Andrew Wiles's work on Fermat's "Last Theorem". This work is aimed at undergraduates, graduate students and mathematics clubs.
Knot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results. An indispensable book for everyone concerned with knot theory.
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.