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Classical Mechanics

From Particles to Continua and Regularity to Chaos

Language EnglishEnglish
Book Hardback
Book Classical Mechanics Govind S. Krishnaswami
Libristo code: 46051578
Publishers Springer, Berlin, November 2024
This well-rounded and self-contained treatment of classical mechanics strikes a balance between exam... Full description
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This well-rounded and self-contained treatment of classical mechanics strikes a balance between examples, concepts, phenomena and formalism. While addressed to graduate students and their teachers, the minimal prerequisites and ground covered should make it useful also to undergraduates and researchers. Starting with conceptual context, physical principles guide the development. Chapters are modular and the presentation is precise yet accessible, with numerous remarks, footnotes and problems enriching the learning experience. Essentials such as Galilean and Newtonian mechanics, the Kepler problem, Lagrangian and Hamiltonian mechanics, oscillations, rigid bodies and motion in noninertial frames lead up to discussions of canonical transformations, angle-action variables, Hamilton-Jacobi and linear stability theory. Bifurcations, nonlinear and chaotic dynamics as well as the wave, heat and fluid equations receive substantial coverage. Techniques from linear algebra, differential equations, manifolds, vector and tensor calculus, groups, Lie and Poisson algebras and symplectic and Riemannian geometry are gently introduced. A dynamical systems viewpoint pervades the presentation. A salient feature is that classical mechanics is viewed as part of the wider fabric of physics with connections to quantum, thermal, electromagnetic, optical and relativistic physics highlighted. Thus, this book will also be useful in allied areas and serve as a stepping stone for embarking on research.

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About the book

Full name Classical Mechanics
Language English
Binding Book - Hardback
Date of issue 2024
Number of pages 705
EAN 9789819744756
Libristo code 46051578
Publishers Springer, Berlin
Weight 1309
Dimensions 155 x 235
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