Group theory : an intuitive approach

R. Mirman

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

[目次]

  • The physical principles of group theory
  • examples of groups
  • groups as mathematical objects
  • groups, combinations, subsets
  • the group as a representation of itself
  • properties of representations
  • the symmetric group and its representations
  • applications of symmetric group representations
  • the rotation groups and their relatives
  • representations of groups SO(3) and SU(2)
  • applications of representations of SO(3) and O(3)
  • Lie algebras
  • representations of Lie algebras
  • groups of crystals and molecules.

「Nielsen BookData」より

[目次]

  • The physical principles of group theory
  • examples of groups
  • groups as mathematical objects
  • groups, combinations, subsets
  • the group as a representation of itself
  • properties of representations
  • the symmetric group and its representations
  • applications of symmetric group representations
  • the rotation groups and their relatives
  • representations of groups SO(3) and SU(2)
  • applications of representations of SO(3) and O(3)
  • Lie algebras
  • representations of Lie algebras
  • groups of crystals and molecules.

「Nielsen BookData」より

この本の情報

書名 Group theory : an intuitive approach
著作者等 Mirman, R.
Mirmann R.
書名別名 What is the transformation?
出版元 World Scientific
刊行年月 c1995
ページ数 xxxvii, 451 p.
大きさ 23 cm
ISBN 9810233655
9810221835
NCID BA25714066
※クリックでCiNii Booksを表示
言語 英語
出版国 シンガポール
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