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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