A K Peters/CRC Press
367 pages | 73 B/W Illus.
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:
Analysis of Multivariable Functions
Analysis of Manifolds
Introduction to Riemannian Geometry
Applications of Manifolds to Physics
A: Point Set Topology
B: Calculus of Variations
C: Further Topics in Multilinear Algebra