Geometry, Symmetries, and Classical Physics: A Mosaic

This book is a comprehensive guide to differential geometry and symmetries in classical physics, suitable for advanced undergraduate students in physics and mathematics. It provides a modern and streamlined presentation of the topics, including advanced topics such as the Belinfante energy-momentum tensor, the Weyl-Schouten theorem, and the derivation of Noether currents for diffeomorphisms. The focus is on presenting the mathematical notions and techniques clearly, making it an essential resource for students studying theoretical physics.

Format: Paperback / softback
Length: 482 pages
Publication date: 29 January 2024
Publisher: Taylor & Francis Ltd

This comprehensive textbook offers advanced undergraduate students in physics and mathematics a thorough and accessible introduction to the fundamentals of differential geometry and symmetries in classical physics. By engaging with the book's content, readers will gain a deep understanding of symmetry principles and their applications in mechanics, field theory, and general relativity, while also acquiring the necessary computational skills to tackle more complex theoretical physics questions.

The book's unique selling point is its ability to present a coherent and comprehensive treatment of classical topics that are typically taught separately in various literature sources. This makes it the first book to offer a single, authoritative source for these topics.

The textbook is designed to be accessible to students with a solid background in undergraduate physics and mathematics, including calculus, linear algebra, and differential equations. It begins with a review of basic concepts and progresses to more advanced topics, such as the Belinfante energy-momentum tensor, the Weyl-Schouten theorem, the derivation of Noether currents for diffeomorphisms, and the definition of conserved integrals in general relativity.

Throughout the book, a strong emphasis is placed on presenting the mathematical notions and computational techniques in a clear and concise manner. Each chapter includes detailed explanations, examples, and exercises to help students grasp the material and apply it to real-world scenarios. Additionally, the book features a comprehensive bibliography and an index for easy reference.

In summary, this textbook is an invaluable resource for advanced undergraduate students seeking to gain a deeper understanding of differential geometry and symmetries in classical physics. Its modern, streamlined presentation, comprehensive coverage, and emphasis on mathematical clarity make it an essential tool for anyone interested in pursuing a career in theoretical physics.

Weight: 890g
Dimension: 254 x 178 (mm)
ISBN-13: 9780367541415