书目名称 | Symmetries | 编辑 | D. L. Johnson | 视频video | | 概述 | Includes the derivation and classification of the 17 plane crystallographic groups (i. e. the 17 possible basic wallpaper patterns).Contains numerous exercises, most with solutions, and suggestions fo | 丛书名称 | Springer Undergraduate Mathematics Series | 图书封面 |  | 描述 | " ... many eminent scholars, endowed with great geometric talent, make a point of never disclosing the simple and direct ideas that guided them, subordinating their elegant results to abstract general theories which often have no application outside the particular case in question. Geometry was becoming a study of algebraic, differential or partial differential equations, thus losing all the charm that comes from its being an art." H. Lebesgue, Ler;ons sur les Constructions Geometriques, Gauthier Villars, Paris, 1949. This book is based on lecture courses given to final-year students at the Uni versity of Nottingham and to M.Sc. students at the University of the West Indies in an attempt to reverse the process of expurgation of the geometry component from the mathematics curricula of universities. This erosion is in sharp contrast to the situation in research mathematics, where the ideas and methods of geometry enjoy ever-increasing influence and importance. In the other direction, more modern ideas have made a forceful and beneficial impact on the geometry of the ancients in many areas. Thus trigonometry has vastly clarified our concept of angle, calculus has revolutionised the | 出版日期 | Textbook 2001 | 关键词 | Abelian group; Group theory; Groups; Symmetries; Symmetry group; polytope | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4471-0243-4 | isbn_softcover | 978-1-85233-270-9 | isbn_ebook | 978-1-4471-0243-4Series ISSN 1615-2085 Series E-ISSN 2197-4144 | issn_series | 1615-2085 | copyright | Springer-Verlag London 2001 |
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