Differential geometry of manifolds

Author(s)

    • Lovett, Stephen

Bibliographic Information

Differential geometry of manifolds

Stephen Lovett

(Textbooks in mathematics)

CRC Press, c2020

2nd ed

  • : hardback

Available at  / 2 libraries

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Note

"A Chapman & Hall book"--Cover

Includes bibliographical references (p. 425-428) and index

Description and Table of Contents

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

Table of 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

by "Nielsen BookData"

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