Mathematical Methods Of Classical Mechanics
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| Author | : V.I. Arnol'd |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 530 |
| Release | : 2013-04-09 |
| Genre | : Mathematics |
| ISBN | : 1475720637 |
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
| Author | : V.I. Arnol'd |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 552 |
| Release | : 1997-09-05 |
| Genre | : Mathematics |
| ISBN | : 9780387968902 |
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
| Author | : Vladimir Igorevich Arnolʹd |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2024 |
| Genre | : Mechanics, Analytic |
| ISBN | : 9787519296667 |
| Author | : Vicente Cortés |
| Publisher | : Springer |
| Total Pages | : 105 |
| Release | : 2017-04-26 |
| Genre | : Science |
| ISBN | : 3319564633 |
This short primer, geared towards students with a strong interest in mathematically rigorous approaches, introduces the essentials of classical physics, briefly points out its place in the history of physics and its relation to modern physics, and explains what benefits can be gained from a mathematical perspective. As a starting point, Newtonian mechanics is introduced and its limitations are discussed. This leads to and motivates the study of different formulations of classical mechanics, such as Lagrangian and Hamiltonian mechanics, which are the subjects of later chapters. In the second part, a chapter on classical field theories introduces more advanced material. Numerous exercises are collected in the appendix.
| Author | : Frederick W. Byron |
| Publisher | : Courier Corporation |
| Total Pages | : 674 |
| Release | : 2012-04-26 |
| Genre | : Science |
| ISBN | : 0486135063 |
Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
| Author | : Tulsi Dass |
| Publisher | : Universities Press |
| Total Pages | : 718 |
| Release | : 1998 |
| Genre | : Mathematical physics |
| ISBN | : 9788173710896 |
This book is intended to provide an adequate background for various theortical physics courses, especially those in classical mechanics, electrodynamics, quatum mechanics and statistical physics. Each topic is dealt with in a generally self-contained manner and the text is interspersed with a number of solved examples ad a large number of exercise problems.
| Author | : Vladimir I. Arnold |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 505 |
| Release | : 2007-07-05 |
| Genre | : Mathematics |
| ISBN | : 3540489266 |
The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.
| Author | : Michael Spivak |
| Publisher | : |
| Total Pages | : 733 |
| Release | : 2010 |
| Genre | : Mechanics |
| ISBN | : 9780914098324 |
| Author | : Dieter Strauch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 414 |
| Release | : 2009-06-07 |
| Genre | : Science |
| ISBN | : 3540736166 |
This upper-level undergraduate and beginning graduate textbook primarily covers the theory and application of Newtonian and Lagrangian, but also of Hamiltonian mechanics. In addition, included are elements of continuum mechanics and the accompanying classical field theory, wherein four-vector notation is introduced without explicit reference to special relativity. The author's writing style attempts to ease students through the primary and secondary results, thus building a solid foundation for understanding applications. Numerous examples illustrate the material and often present alternative approaches to the final results.
| Author | : Grant R. Fowles |
| Publisher | : |
| Total Pages | : 584 |
| Release | : 2005 |
| Genre | : Mechanics, Analytic |
| ISBN | : |
With the direct, accessible, and pragmatic approach of Fowles and Cassiday's ANALYTICAL MECHANICS, Seventh Edition, thoroughly revised for clarity and concision, students will grasp challenging concepts in introductory mechanics. A complete exposition of the fundamentals of classical mechanics, this proven and enduring introductory text is a standard for the undergraduate Mechanics course. Numerical worked examples increased students' problem-solving skills, while textual discussions aid in student understanding of theoretical material through the use of specific cases.
