Analytical Mechanics - Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity (1st ed. 2023)

This textbook aims at introducing readers, primarily students enrolled in undergraduate Mathematics or Physics courses, to the topics and methods of classical Mathematical Physics, including Classical Mechanics, its Lagrangian and Hamiltonian formulations, Lyapunov stability, plus the Liouville theorem and the Poincaré recurrence theorem among others. The material also rigorously covers the theory of Special Relativity. The logical-mathematical structure of the physical theories of concern is introduced in an axiomatic way, starting from a limited number of physical assumptions. Special attention is paid to themes with a major impact on Theoretical and Mathematical Physics beyond Analytical Mechanics, such as the Galilean symmetry of classical Dynamics and the Poincaré symmetry of relativistic Dynamics, the far-fetching relationship between symmetries and constants of motion, the coordinate-free nature of the underpinning mathematical objects, or the possibility of describing Dynamics in a global way while still working in local coordinates. Based on the author’s established teaching experience, the text was conceived to be flexible and thus adapt to different curricula and to the needs of a wide range of students and instructors.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	La Matematica per il 3+2, 150
Release date:	June 2023
First published:	2023
Authors:	Valter Moretti
Translators:	Simon G. Chiossi
Dimensions:	235 x 155mm (L x W)
Pages:	832
Edition:	1st ed. 2023
ISBN-13:	978-3-03-127611-8
Subtitles:	Italian
Categories:	Books
LSN:	3-03-127611-6
Barcode:	9783031276118

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