Analytical Mechanics: Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity free ebook download.

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Analytical Mechanics: Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity free ebook download

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Physics

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Author(s):	Valter Moretti

Date:	2023	Format:	pdf	Language:	English	ISBN/ASIN:	3031276116
Pages:	848	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	5/19/2024 4:14:04 AM

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3031276116 pdf
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 Poincare 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 Poincare 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.

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3259422	Book	https://nitroflare.com/view/C54B92F5BB8B...		18.00	eternal

Tags: Analytical Classical Hamiltonian Lagrangian Mechanics Mechanics Relativity Special Stability Theory

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