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Introductory Lectures on Braids, Configurations and Their Applications
出版World Scientific, 2010
主題Mathematics / AppliedMathematics / Geometry / GeneralMathematics / Group TheoryMathematics / TopologyTechnology & Engineering / Robotics
ISBN98142914129789814291415
URLhttp://books.google.com.hk/books?id=SDPHgcHnrBYC&hl=&source=gbs_api
EBookSAMPLE
註釋This book is an indispensable guide for anyone seeking to familarize themselves with research in braid groups, configuration spaces and their applications. Starting at the beginning, and assuming only basic topology and group theory, the volume''s noted expositors take the reader through the fundamental theory and on to current research and applications in fields as varied as astrophysics, cryptography and robotics. As leading researchers themselves, the authors write enthusiastically about their topics, and include many striking illustrations. The chapters have their origins in tutorials given at a Summer School on Braids, at the National University of Singapore''s Institute for Mathematical Sciences in June 2007, to an audience of more than thirty international graduate students. Sample Chapter(s). Foreword (31 KB). Chapter 1: Tutorial on the Braid Groups (372 KB). Contents: Tutorial on the Braid Groups (D Rolfsen); Simplicial Objects and Homotopy Groups (J Wu); Introduction to Configuration Spaces and Their Applications (F R Cohen); Configuration Spaces, Braids, and Robotics (R Ghrist); Braids and Magnetic Fields (M A Berger); Braid Group Cryptography (D Garber). Readership: Graduates and researchers in mathematics (low-dimensional topology, homotopy theory), applied mathematics (robotics and swarming, cryptography) and applications to magnetohydrodynamics and fluid flow.