Differential Geometry and Lie Groups...
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  • Differential Geometry and Lie Groups for Physicists.[electronic resource].
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 530.15636
    書名/作者: Differential Geometry and Lie Groups for Physicists.
    作者: Fecko, Marian.
    出版者: Leiden : : Cambridge University Press,, 2006.
    面頁冊數: 715 p.
    標題: Geometry, Differential.
    ISBN: 9780511755590 (electronic bk.)
    ISBN: 9780521845076 (print)
    內容註: Cover; Half-title; Title; Copyright; Contents; Preface; Introduction; Chapter 1 The concept of a manifold; Chapter 2 Vector and tensor fields; Chapter 3 Mappings of tensors induced by mappings of manifolds; Chapter 4 Lie derivative; Chapter 5 Exterior algebra; Chapter 6 Differential calculus of forms; Chapter 7 Integral calculus of forms; Chapter 8 Particular cases and applications of Stokes’ theorem; Chapter 9 Poincare lemma and cohomologies; Chapter 10 Lie groups: basic facts; Chapter 11 Differential geometry on Lie groups; Chapter 12 Representations of Lie groups and Lie algebras
    摘要、提要註: Covering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical physics and mathematics. It develops understanding through over 1000 short exercises, and is suitable for advanced undergraduate or graduate courses in physics, mathematics and engineering.
    電子資源: Click here to view book
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