Differential Geometry of Manifolds (2nd Ed.) Textbooks in Mathematics Series
Auteur : Lovett Stephen
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
Analysis of Multivariable Functions
Variable Frames
Differentiable Manifolds
Multilinear Algebra
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
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.
Date de parution : 01-2023
19.1x23.5 cm
Date de parution : 12-2019
19.1x23.5 cm
Thèmes de Differential Geometry of Manifolds :
Mots-clés :
Frenet Frame; Geomertry; Centripetal Acceleration; Mathematical Physics; Matrix Function; Manifolds; Linearly Independent; Multilinear algebra; Osculating Circle; Differential Manifolds; Parabolic Coordinates; Riemannian Geometry; Cylindrical Coordinates; differential geometry; Variable Frames; Riemannian manifolds; Spherical Coordinates; Orthogonal Coordinate System