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Differential Geometry of Manifolds.

Differential Geometry of Manifolds. 2nd edition.

・ISBN 978-1-032-47490-8 paper GB£ 51.99

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お気に入り
電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-429-05929-2
著者・編者Lovett, Stephen,
シリーズTextbooks in Mathematics
出版社(CRC Press, UK)
出版年月2023
ページ数450 pp.
言語ENG
ニュース番号<M25-1738>

解説

Differential Geometry of Manifolds, Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general. The book provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together classical and modern formulations. It introduces manifolds in a both streamlined and mathematically rigorous way while keeping a view toward applications, particularly in physics.

The author takes a practical approach, containing extensive exercises and focusing on applications, including the Hamiltonian formulations of mechanics, electromagnetism, string theory.

The Second Edition of this successful textbook offers several notable points of revision.

New to the Second Edition:



  • New problems have been added and the level of challenge has been changed to the exercises




  • Each section corresponds to a 60-minute lecture period, making it more user-friendly for lecturers




  • Includes new sections which provide more comprehensive coverage of topics




  • Features a new chapter on Multilinear Algebra