Manifolds, tensor analysis, and applications
The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. 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.
654 pages : illustrations ; 25 cm.
9780387967905, 9783540967903, 9781461210290, 9781461269908, 9780201101683, 0387967907, 3540967907, 1461210291, 1461269903, 0201101688
18562688
Topology
Banach spaces and differential calculus
Manifolds and vector bundles
Vector fields and dynamical systems
Tensors
Differential forms
Integration on manifolds
Applications