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Mathematical Methods of Classical Mechanics
44,99 € *
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In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.

Anbieter: buecher.de
Stand: 24.01.2018
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Classical Mechanics
77,99 € *
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John Taylor has brought to his new book, Classical Mechanics , all of the clarity and insight that made his Introduction to Error Analysis a best-selling text. Classical Mechanics is intended for students who have studied some mechanics in an introductory physics course and covers such topics as conservation laws, oscillations, Lagrangian mechanics, two-body problems, non-inertial frames, rigid bodies, normal modes, chaos theory, Hamiltonian mechanics, and continuum mechanics. A particular highlight is the chapter on chaos, which focuses on a few simple systems, to give a truly comprehensible introduction to the concepts that we hear so much about. At the end of each chapter is a large selection of interesting problems for the student, classified by topic and approximate difficulty, and ranging from simple exercises to challenging computer projects. Taylor´s Classical Mechanics is a thorough and very readable introduction to a subject that is four hundred years old but as exciting today as ever. He manages to convey that excitement as well as deep understanding and insight.

Anbieter: buecher.de
Stand: 19.02.2018
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Classical Mechanics: Pearson New International ...
56,99 € *
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For thirty years this has been the acknowledged standard in advanced classical mechanics courses. This classic text enables students to make connections between classical and modern physics - an indispensable part of a physicist´s education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the text to include the latest topics, applications, and notation, to reflect today´s physics curriculum. They introduce students to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help students to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the text remains fully accessible to students who have not had an intermediate course in classical mechanics. Product Description For 30 years, this book has been the acknowledged standard in advanced classical mechanics courses. This classic book enables readers to make connections between classical and modern physics ? an indispensable part of a physicist´s education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation to reflect today´s physics curriculum. Features + Benefits The classic approach of this leading text has been revised and updated without increasing the overall length of the book. NEW - NEW! Chapter 11 on classical chaos theory builds from the Hamilton-Jacobi theory to introduce nonlinear dynamics and fractal dimensionality as it relates to classical mechanics. REVISED! Chapter 7 now presents special relativity using the standard real metric (in lieu of the complex Minkowski space) and coordinate-free notation, and includes a brief introduction to the concepts of general relativity. UPDATED! A section on the Euler and Lagrange exact solutions to the three-body problem has been added to Chapter 3. UPDATED! A section on the damped driven oscillator as an example of the workings of the Josephson junction has been added to Chapter 6. REVISED! Chapter 12 on Canonical Perturbation Theory has been streamlined and the mathematics has been simplified. NEW - NEW! Approximately 45 new problems, mostly in Chapters One through Eight and Eleven. Problem sets are now helpfully divided into ´´Derivations´´ and ´´Exercises.´´ 1. Survey of the Elementary Principles. 2. Variational Principles and Lagrange´s Equations. UPDATED! 3. The Central Force Problem. 4. The Kinematics of Rigid Body Motion. 5. The Rigid Body Equations of Motion. UPDATED! 6. Oscillations. REVISED! 7. The Classical Mechanics of the Special Theory of Relativity. 8. The Hamiltonian Equations of Motion. 9. Canonical Transformations. 10. Hamilton-Jacobi Theory and Action Angle Variables. NEW! 11. Classical Chaos. REVISED! 12. Canonical Perturbation Theory. 13. Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Fields. Appendixes. Select Bibliography. Index. For thirty years this has been the acknowledged standard in advanced classical mechanics courses. This classic text enables students to make connections between classical and modern physics - an indispensable part of a physicist´s education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the text to include the latest topics, applications, and notation, to reflect today´s physics curriculum. They introduce students to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help students to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the text remains fully accessible to students who have not had an intermediate course in classical mechanics.

Anbieter: buecher.de
Stand: 10.02.2018
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