Guide Mathematical Aspects of Classical and Celestial Mechanics: 3 (Encyclopaedia of Mathematical Sciences)

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  1. Mathematical Aspects of Classical and Celestial Mechanics.
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The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising.

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The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview. Famous author of various Springer books in the field of dynamical systems, differential equations, hydrodynamics, magnetohydrodynamics, classical and celestial mechanics, geometry, topology, algebraic geometry, symplectic geometry, singularity theory.

Famous Springer author working in the field of general principles of dynamics, integrability of equations of motion, variational methods in mechanics, rigid body dynamics, stability theory, non-holonomic mechanics, impact theory, symmetries and integral invariants, mathematical aspects of statistical mechanics, ergodic theory and mathematical physics. Lomonosov 1st Degree Prize the major prize awarded by M. Convert currency.

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Add to Basket. Book Description Springer. Condition: New. Seller Inventory Arnold , E. Khukhro Translator , Valery V.

Dublin Institute for Advanced Studies / Institiúid Ard-Léinn Bhaile Átha Cliath

Kozlov Springer, , pp. In this book we describe the basic principles, problems, and methods of cl- sical mechanics.

Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are explored to a considerably lesser extent, we have tried to set forth?

This apparatus is contained mainly in Chapters 1, 3, 5, 6, and 8. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics, rather than its physical foundations or applications. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems.

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Chapter 2 presents the n-body problem as a generalization of the 2-body problem. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Chapter 4 contains a brief survey of various approaches to the problem of the integrability of the equations of motion.