Valter Moretti
Analytical Mechanics: Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity
Analytical Mechanics: Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity
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- More about Analytical Mechanics: Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity
This textbook provides an introduction to classical Mathematical Physics, covering Classical Mechanics, Lagrangian and Hamiltonian formulations, Lyapunov stability, Special Relativity, and more. It is designed for undergraduate students in Mathematics or Physics and aims to be flexible and adaptable to different curricula and teaching needs.
Format: Paperback / softback
Length: 832 pages
Publication date: 01 June 2023
Publisher: Springer International Publishing AG
This comprehensive textbook is designed to introduce readers, primarily students enrolled in undergraduate Mathematics or Physics courses, to the fascinating realm of classical Mathematical Physics. It encompasses a wide range of topics and methods, including Classical Mechanics, its Lagrangian and Hamiltonian formulations, Lyapunov stability, the Liouville theorem, and the Poincaré recurrence theorem, among others. The material is presented in a logical and mathematical structure, starting from a limited set of physical assumptions.
Special attention is given to themes that have a significant impact on Theoretical and Mathematical Physics beyond Analytical Mechanics. These include the Galilean symmetry of classical Dynamics, the Poincaré symmetry of relativistic Dynamics, the intriguing relationship between symmetries and constants of motion, the coordinate-free nature of the underlying mathematical objects, and the possibility of describing Dynamics in a global way while still working in local coordinates.
The text has been carefully crafted based on the authors' extensive teaching experience, making it highly flexible and adaptable to different curricula and the diverse needs of students and instructors. It serves as a valuable resource for anyone seeking to delve into the world of classical Mathematical Physics, providing a solid foundation for further exploration and understanding of this complex and interdisciplinary field.
Dimension: 235 x 155 (mm)
ISBN-13: 9783031276118
Edition number: 1st ed. 2023
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