This modern translation of Sophus Lie's and Friedrich Engel's “Theorie der Transformationsgruppen I” will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I presents a comprehensive introduction to the theory and is mainly directed towards the generalization of ideas drawn from the study of example…
Between 2014 and 2017, the artistic research project "TransCoding - From 'Highbrow Art' to Participatory Culture" encouraged creative participation in multimedia art via social media. Based on the artworks that emerged from the project, Barbara Lüneburg investigates authorship, authority, motivational factors, and aesthetics in participatory art created with the help of web 2.0 technology. The…
What role can the humanities play in shaping our common future? What are the values that guide us in the 21st century? How can we unleash the potential the humanities offer in a time of multiple crises? This volume tackles some of these fundamental questions, acknowledging and developing the changing role of academic discourse in a turbulent world. This timely book argues that the humanities en…
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications. In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations amo…
This set of lectures provides an introduction to the structure, thermodynamics and dynamics of liquids, binary solutions and polymers at a level that will enable graduate students and non-specialist researchers to understand more specialized literature and to possibly start their own work in this field. Part I starts with the introduction of distribution functions, which describe the statist…
Is there an option to oppose without automatically participating in the opposed? This volume explores different perspectives on dissent, understanding practices, cultures, and theories of resistance, dispute, and opposition as inherently participative. It discusses aspects of the body as a political instance, the identity and subjectivity building of individuals and groups, (micro-)practices of…
This book explains modern and interesting physics in heavy-fermion (HF) compounds to graduate students and researchers in condensed matter physics. It presents a theory of heavy-fermion (HF) compounds such as HF metals, quantum spin liquids, quasicrystals and two-dimensional Fermi systems. The basic low-temperature properties and the scaling behavior of the compounds are described within the fr…
This book presents the theory of gas discharge plasmas in a didactical way. It explains the processes in gas discharge plasmas. A gas discharge plasma is an ionized gas which is supported by an external electric field. Therefore its parameters are determined by processes in it. The properties of a gas discharge plasma depend on its gas component, types of external fields, their geometry and reg…
Depicting the world, territory, and geopolitical realities involves a high degree of interpretation and imagination. It is never neutral. Cartography originated in ancient times to represent the world and to enable circulation, communication, and economic exchange. Today, IT companies are a driving force in this field and change our view of the world; how we communicate, navigate, and consume g…
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. Thi…