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Differential Geometry and Lie Groups for Physicists.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/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. -
電子資源:	Click here to view book
ISBN:	9780511245213 (electronic bk.)

Differential Geometry and Lie Groups for Physicists.
Fecko, Marian.

Differential Geometry and Lie Groups for Physicists.[electronic resource]. - Leiden :Cambridge University Press,2006. - 715 p.

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

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.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511245213 (electronic bk.)Subjects--Topical Terms:

527830
Geometry, Differential.
Index Terms--Genre/Form:

554714
Electronic books.

LC Class. No.: QC20.7.D52 F43 2006eb

Dewey Class. No.: 530.15636

Differential Geometry and Lie Groups for Physicists.
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100 1 $a Fecko, Marian. $3 685522
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260 $a Leiden : $c 2006. $b Cambridge University Press,
300 $a 715 p.
505 0 $a 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
505 8 $a Chapter 13 Actions of Lie groups and Lie algebras on manifoldsChapter 14 Hamiltonian mechanics and symplectic manifolds; Chapter 15 Parallel transport and linear connection on M; Chapter 16 Field theory and the language of forms; Chapter 17 Differential geometry on TM and T*M; Chapter 18 Hamiltonian and Lagrangian equations; Chapter 19 Linear connection and the frame bundle; Chapter 20 Connection on a principal G-bundle; Chapter
520 $a 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.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
650 4 $a Geometry, Differential. $3 527830
655 7 $a Electronic books. $2 local $3 554714
710 2 $a Ebooks Corporation. $3 683803
776 1 $z 9780521845076
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