Classical Mechanics including Tensor Geometry (Mathematical-Physics for Science and Technology)

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Published **August 15, 2010**
by CRC .

Written in English

- Science / Physics,
- Applied,
- Physics,
- Science,
- Science/Mathematics

The Physical Object | |
---|---|

Format | Hardcover |

ID Numbers | |

Open Library | OL11817228M |

ISBN 10 | 1420071068 |

ISBN 10 | 9781420071061 |

OCLC/WorldCa | 166872522 |

He introduces concepts from differential geometry, differential forms, and tensor analysis, then applies them to areas of classical mechanics as well as other areas of physics, including optics, crystal diffraction, electromagnetism, relativity, and quantum mechanics. This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field―from Newton to Hamilton. Classical Mechanics with Mathematica, second edition by Antonio Romano, Addolorata Marasco. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and. This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field-from Newton to Lagrange-while.

Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies.. If the present state of an object is known it is possible to predict by the laws of classical mechanics how it will move in the future (determinism) and how it has moved in the past (reversibility). 1. Tensor Algebra 2. Riemannian Metric 3. Christoffel’S Symbols And Covariant Differentiation 4. Riemannian Geometry 5. Geometry Of Space Curve 6. Intrinsic Geometry Of Surface 7. Surfaces In Space 8. Curves On A Surface 9. Classical Mechanics Relativistic Mechanics Index. This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview. Wolfram Language Revolutionary knowledge-based programming language. Wolfram Cloud Central infrastructure for Wolfram's cloud products & services. Wolfram Science Technology-enabling science of the computational universe.

Classical mechanics is the branch of physics used to describe the motion of macroscopic objects. It is the most familiar of the theories of physics. The concepts it covers, such as mass, acceleration, and force, are commonly used and known. The subject is based upon a three-dimensional Euclidean space with fixed axes, called a frame of reference. The point of concurrency of the three axes is. Symplectic geometry is very useful for clearly and concisely formulating problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. It is thus a subject of interest to both mathematicians and physicists, though they have approached the subject from different view points. This is the first book that attempts to reconcile these 5/5(1). Mechanics and Special Relativity. This note covers the following topics: oscillators damped and driven and resonance (how to rock your car out of a snow bank or use a swing), an introduction to Lagrangian mechanics and optimization, symmetries and Noether's theorem, special relativity, collisions and scattering, rotational motion, angular momentum, torque, the moment of inertia tensor (dynamic. Classical mechanics has certainly changed in form since the days of Newton, due in part to the Lagrangian and Hamiltonian formulations, and to the rise of the theory of relativity. Student pursuing graduate study in mechanics will be exposed to differential geometry as well as other more abstract s: 3.

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