Differential Geometry of Manifolds

The book "Differential Geometry of Manifolds, Second Edition" is a comprehensive introduction to differential geometry, covering both classical and modern formulations. It provides a streamlined and rigorous approach to manifolds, with a focus on applications in physics, including Hamiltonian formulations of mechanics, electromagnetism, and string theory. The Second Edition includes new problems, a revised level of challenge, and more comprehensive coverage of topics, making it an invaluable resource for students and researchers in the field.

Format: Paperback / softback
Length: 450 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd

Differential Geometry of Manifolds, Second Edition, is a comprehensive guide that delves into the realm of differential geometry, expanding its application beyond curves and surfaces to encompass manifolds in general. This second edition offers a thorough introduction to the field of differentiable and Riemannian manifolds, seamlessly merging classical and modern formulations. The author employs a practical approach, incorporating extensive exercises and emphasizing their practical applications, particularly in the realm of physics.

One of the notable features of this textbook is its emphasis on practicality. The author takes a hands-on approach, providing numerous exercises that reinforce the concepts discussed. These exercises range in difficulty, ensuring that students of various levels can engage with the material effectively. Furthermore, the book's focus on applications, particularly in the fields of mechanics, electromagnetism, and string theory, makes it an invaluable resource for students and scholars alike.

In addition to its practical aspects, the Second Edition of this textbook boasts several notable revisions. New problems have been added to challenge students and further their understanding of the subject. Moreover, the book has been structured to correspond to a 60-minute lecture period, making it more user-friendly for lecturers. To enhance the coverage of topics, new sections have been included, providing a more comprehensive understanding of the material.

Furthermore, the Second Edition introduces a new chapter on Multilinear Algebra, which is an essential tool in differential geometry. This chapter provides students with the necessary tools to work with multilinear functions and their applications in manifolds.

In conclusion, Differential Geometry of Manifolds, Second Edition, is a comprehensive and well-organized textbook that offers a solid foundation in differential geometry. Its practical approach, emphasis on applications, and numerous exercises make it an invaluable resource for students, scholars, and practitioners in the field. Whether you are a beginner or an advanced student, this book will provide you with the knowledge and tools necessary to excel in differential geometry and its applications.

Weight: 850g
Dimension: 234 x 193 x 29 (mm)
ISBN-13: 9781032474908
Edition number: 2 ed