Analytical Mechanics : Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity
1st ed. 2023
Book Details
Format
Paperback / Softback
Book Series
La Matematica per il 3+2
ISBN-10
3031276116
ISBN-13
9783031276118
Edition
1st ed. 2023
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 1st, 2023
Print length
832 Pages
Weight
1,638 grams
Dimensions
15.70 x 23.80 x 4.50 cms
Product Classification:
Classical mechanicsMathematical physicsMechanical engineering
Ksh 11,350.00
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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.
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