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Differential geometry of manifolds

By: Lovett, StephenMaterial type: TextTextSeries: Textbooks in mathematicsPublication details: New York : CRC Press Taylor & Francis Group, 2020. Edition: 2nd edDescription: xiii, 436p. : illustrations ; 25 cmISBN: 9780367180461Subject(s): Manifolds (Mathematics) | Differential geometryDDC classification: 514.7 Online resources: Table of contents | Reviews 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
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Includes bibliographical references (pages 425-428) and index.

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

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