Group_Theory
群论导论 豆瓣
作者: 罗曼 2009 - 8
《群论导论(第4版)(英文版)》介绍了:Group Theory is a vast subject and, in this Introduction (as well as in theearlier editions), I have tried to select important and representative theoremsand to organize them in a coherent way. Proofs must be clear, and examplesshould illustrate theorems and also explain the presence of restrictive hypo-theses. ! also believe that some history should be given so that one canunderstand the origin of problems and the context in which the subjectdeveloped. Just as each of the earlier editions differs from the previous one in a signifi-cant way, the present (fourth) edition is genuinely different from the third.Indeed, this is already apparent in the Table of Contents. The book nowbegins with the unique factorization of permutations into disjoint cycles andthe parity of permutations; only then is the idea of group introduced. This isconsistent with the history of Group Theory, for these first results on permu-tations can be found in an 1815 paper by Cauchy, whereas groups of permu-tations were not introduced until 1831 (by Galois)But even if history
群论及其在固体物理中的应用 豆瓣
作者: 徐婉棠 / 喀兴林 出版社: 高等教育出版社 1999 - 6
本书系作者在为研究生讲授群论的讲义的基础上编写的。
全书共分八章。前两章讨论有限群及其表示的基本数学理论;第三、第四章讨论点群在分析晶体宏观性质中的应用;第五章讨论群论与量子力学的关系;第六章讨论空间群的不可约表示及其在能带理论中的应用;最后两章介绍晶格动力学中的群论方法,色群及其表示理论。全书内容详尽,结构完整,特别是针对固体物理学中的问题讨论了群的性质和应用,有助于读者有效地应用群的知识,简洁的处理有关计算问题。
本书可供理科硕士研究生和高年级本科生作教材使用,亦可供有关科研人员参考。