Transpositions


Book Description

"This book offers an account of ethical and political subjectivity in contemporary culture. It makes a case for a non-unitary or nomadic conception of the subject, in opposition to the claims of ideologies such as conservatism, liberal individualism and techno-capitalism. Braidotti takes a stand against moral universalism, while offering a vigorous defence of nomadic ethics against the charges of relativism and nihilism. She calls for a new form of ethical accountability that takes "Life" as the subject, not the object, of enquiry. The nomadic ethical subject negotiates successfully the complex tension between the multiplicity of political forces on the one hand and the sustained commitment to emancipatory politics on the other."




Transpositions


Book Description

New modes of epistemic relationships in artistic research Research leads to new insights rupturing the existent fabric of knowledge. Situated in the still evolving field of artistic research, this book investigates a fundamental quality of this process. Building on the lessons of deconstruction, artistic research invents new modes of epistemic relationships that include aesthetic dimensions. Under the heading transposition, seventeen artists, musicians, and theorists explain how one thing may turn into another in a spatio-temporal play of identity and difference that has the power to expand into the unknown. By connecting materially concrete positions in a way familiar to artists, this book shows how moves can be made between established positions and completely new ground. In doing so, research changes from a process that expands knowledge to one that creatively reinvents it. Contributors: Annette Arlander (University of the Arts Helsinki), Paulo de Assis (Orpheus Institute, Ghent), Rosi Braidotti (Utrecht University), Leif Dahlberg (Royal Institute of Technology Stockholm), Lucia D?Errico (Orpheus Institute, Ghent), Mika Elo (University of the Arts Helsinki), Laura González (Royal Conservatoire of Scotland), Esa Kirkkopelto (University of the Arts Helsinki), Yve Lomax (Royal College of Art, London), Cecile Malaspina (CNRS-Universit{caron} Paris 1/Universit{caron} Paris 7), Tor-Finn Malum Fitje (independent artist, Oslo), Dieter Mersch (Zurich University of the Arts), David Pirr{dotb} (University of Music and Performing Arts Graz), Hans-Jörg Rheinberger (Max Planck Institute for the History of Science, Berlin), Hanns Holger Rutz (University of Music and Performing Arts Graz), Michael Schwab (Orpheus Institute, Ghent/University of Applied Arts Vienna), Birk Weiberg (Zurich University of the Arts)




Transpositions


Book Description

"This book offers an account of ethical and political subjectivity in contemporary culture. It makes a case for a non-unitary or nomadic conception of the subject, in opposition to the claims of ideologies such as conservatism, liberal individualism and techno-capitalism. Braidotti takes a stand against moral universalism, while offering a vigorous defence of nomadic ethics against the charges of relativism and nihilism. She calls for a new form of ethical accountability that takes "Life" as the subject, not the object, of enquiry. The nomadic ethical subject negotiates successfully the complex tension between the multiplicity of political forces on the one hand and the sustained commitment to emancipatory politics on the other."




Group Theory


Book Description

A thorough introduction to group theory, this (highly problem-oriented) book goes deeply into the subject to provide a fuller understanding than available anywhere else. The book aims at, not only teaching the material, but also helping to develop the skills needed by a researcher and teacher, possession of which will be highly advantageous in these very competitive times, particularly for those at the early, insecure, stages of their careers. And it is organized and written to serve as a reference to provide a quick introduction giving the essence and vocabulary useful for those who need only some slight knowledge, those just learning, as well as researchers, and especially for the latter it provides a grasp, and often material and perspective, not otherwise available.




Markov Chains and Mixing Times


Book Description

This book is an introduction to the modern approach to the theory of Markov chains. The main goal of this approach is to determine the rate of convergence of a Markov chain to the stationary distribution as a function of the size and geometry of the state space. The authors develop the key tools for estimating convergence times, including coupling, strong stationary times, and spectral methods. Whenever possible, probabilistic methods are emphasized. The book includes many examples and provides brief introductions to some central models of statistical mechanics. Also provided are accounts of random walks on networks, including hitting and cover times, and analyses of several methods of shuffling cards. As a prerequisite, the authors assume a modest understanding of probability theory and linear algebra at an undergraduate level. Markov Chains and Mixing Times is meant to bring the excitement of this active area of research to a wide audience.




3-Transposition Groups


Book Description

Contains the first complete published proof of Fischer's Theorem on the classification of 3-transposition groups.




Algebra Interactive!


Book Description

The first interactive course covering first and second year algebra. Starting from such fundamental topics as integers and divisions, modular arithmetic and polynomials the content extends to rings, fields and permutation groups. The hypertext is written in Java-enhanced HTML, and Java applets illustrate the theory while also contributing interactive calculators for computing with integers, polynomials and permutations. The computer algebra system GAP is integrated throughout, allowing the calculation and manipulation of mathematical objects. In addition, collections for Mathematica notebooks and Maple worksheets review the algorithms presented. Multiple choice exercises provide users with instant feedback, while facilities for monitoring students and a bulletin board complete this digital course.




Groups and Symmetry


Book Description

This is a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and approximately 60 illustrations.




Oval Track and Other Permutation Puzzles


Book Description

Popular puzzles such as the Rubik's cube and so-called oval track puzzles give a concrete representation to the theory of permutation groups. They are relatively simple to describe in group theoretic terms, yet present a challenge to anyone trying to solve them. John Kiltinen shows how the theory of permutation groups can be used to solve a range of puzzles. There is also an accompanying CD that can be used to reduce the need for carrying out long calculations and memorizing difficult sequences of moves. This book will prove useful as supplemental material for students taking abstract algebra courses. It provides a real application of the theory and methods of permutation groups, one of the standard topics. It will also be of interest to anyone with an interest in puzzles and a basic grounding in mathematics. The [Author]; has provided plenty of exercises and examples to aid study.




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Book Description