
Differential Geometry of Manifolds
Stephen Lovett(Author)
Chapman & Hall/CRC (Publisher)
2nd Edition
Published on 21. January 2023
Book
Paperback/Softback
450 pages
978-1-032-47490-8 (ISBN)
Description
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
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
More details
Series
Edition
2nd edition
Language
English
Place of publication
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Academic
Product notice
Paperback (trade)
Unsewn / adhesive bound
Illustrations
73 s/w Abbildungen
73 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 193 mm
Thickness: 29 mm
Weight
453 gr
ISBN-13
978-1-032-47490-8 (9781032474908)
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 Classification
Other editions
Additional editions

Stephen Lovett
Differential Geometry of Manifolds
Book
12/2019
2nd Edition
Chapman & Hall/CRC
€120.26
Shipment within 15-20 days

Stephen Lovett
Differential Geometry of Manifolds
E-Book
12/2019
2nd Edition
Chapman & Hall/CRC
€65.99
Available for download

Stephen Lovett
Differential Geometry of Manifolds
E-Book
12/2019
2nd Edition
Chapman & Hall/CRC
€65.99
Available for download
Person
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.
Content
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
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