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
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Academic
Illustrationen
73 s/w Abbildungen
73 Illustrations, black and white
Maße
Höhe: 235 mm
Breite: 191 mm
Gewicht
ISBN-13
978-0-367-18046-1 (9780367180461)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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.
Autor*in
Wheaton College, Illinois, USA
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
