Articles liés à Differential Geometry of Manifolds

Differential Geometry of Manifolds - Couverture souple

Livre 82 sur 130: Textbooks in Mathematics

Lovett, Stephen

 
9781032474908: Differential Geometry of Manifolds

Synopsis

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


  • Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l'auteur

    Stephen Lovett is a Professor of Mathematics at Wheaton College in Illinois. He has also taught at Eastern Nazerene College. He holds a PhD from Northeastern University. He also authored three well-received texts with CRC Press, including the companion volume, Differential Geometry of Curves and Surfaces, Second Edition, with Tom Banchoff and Abstract Algebra: Structures and Applications.

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.