Analytical Mechanics by Nivaldo a Lemos: New

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Artikelzustand
Neu: Neues, ungelesenes, ungebrauchtes Buch in makellosem Zustand ohne fehlende oder beschädigte ...
Book Title
Analytical Mechanics
Publication Date
2018-09-20
Edition Number
2
Pages
470
ISBN
9781108416580
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
1108416586
ISBN-13
9781108416580
eBay Product ID (ePID)
21038713907

Product Key Features

Number of Pages
470 Pages
Language
English
Publication Name
Analytical Mechanics
Subject
Mechanics / General, Physics / General
Publication Year
2018
Type
Textbook
Subject Area
Science
Author
Nivaldo A. Lemos
Format
Hardcover

Dimensions

Item Height
1 in
Item Weight
6.3 Oz
Item Length
10 in
Item Width
7.6 in

Additional Product Features

Intended Audience
College Audience
LCCN
2018-011108
Dewey Edition
23
Reviews
'The greatest strength of the book is that it starts with minimal knowledge and then takes the student very carefully into the modern concepts. The background required is a basic knowledge in classical dynamics and differential equations, with the other usual basic mathematics courses. By the end of the book the student is prepared for the advanced topics of modern geometric mechanics ... I highly recommend this book as an advanced undergraduate text in mathematics, physics or engineering.' Thomas J. Bridges, Contemporary Physics
Illustrated
Yes
Dewey Decimal
531.01/515
Table Of Content
Preface; 1. Lagrangian dynamics; 2. Hamilton's variational principle; 3. Kinematics of rotational motion; 4. Dynamics of rigid bodies; 5. Small oscillations; 6. Relativistic mechanics; 7. Hamiltonian dynamics; 8. Canonical transformations; 9. The Hamilton-Jacobi theory; 10. Hamiltonian perturbation theory; 11. Classical field theory; Appendix A. Indicial notation; Appendix B. Frobenius integrability condition; Appendix C. Homogeneous functions and Euler's theorem; Appendix D. Vector spaces and linear operators; Appendix E. Stability of dynamical systems; Appendix F. Exact differentials; Appendix G. Geometric phases; Appendix H. Poisson manifolds; Appendix I. Decay rate of fourier coefficients; References; Index.
Synopsis
Analytical mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has wide-ranging applications in engineering and celestial mechanics. This introduction to the basic principles and methods of analytical mechanics covers Lagrangian and Hamiltonian dynamics, rigid bodies, small oscillations, canonical transformations and Hamilton-Jacobi theory. This fully up-to-date textbook includes detailed mathematical appendices and addresses a number of advanced topics, some of them of a geometric or topological character. These include Bertrand's theorem, proof that action is least, spontaneous symmetry breakdown, constrained Hamiltonian systems, non-integrability criteria, KAM theory, classical field theory, Lyapunov functions, geometric phases and Poisson manifolds. Providing worked examples, end-of-chapter problems, and discussion of ongoing research in the field, it is suitable for advanced undergraduate students and graduate students studying analytical mechanics., An introduction to the basic principles and methods of analytical mechanics, including a number of advanced topics. Providing worked examples, end-of-chapter problems, and discussion of ongoing research in the field, it is suitable for advanced undergraduate students and graduate students studying analytical mechanics.
LC Classification Number
QA805.L4313 2018

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