Differential Geometry of Manifolds / Stephen Lovett.

By:

Lovett, Stephen

Material type: Text

TextLanguage: English Publication details: Florida : CRC Press, 2020.Edition: 2nd edDescription: xiii, 436 p. : ill. ; 24 cmISBN:

9780367180461
9781032474908
9780429059292

Uniform titles:

Differential Geometry of Manifolds

Subject(s):

DDC classification:

23 516.36 LOV

Contents:

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

Summary: 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

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Text Books	CUTN Central Library Sciences	Non-fiction	516.36 LOV (Browse shelf(Opens below))	Available		47629

Biography
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.

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

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

There are no comments on this title.

to post a comment.