This book presents core material in nonlinear analysis, offering working knowledge of manifolds, dynamical systems, tensors and differential forms. Coverage includes Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory.The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory. Some of this is planned for a subsequent edition.
|Title||:||Manifolds, Tensor Analysis, and Applications|
|Author||:||Ralph Abraham, Jerrold E. Marsden, Tudor S. Rațiu|
|Publisher||:||Springer Science & Business Media - 1988|