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Geometric Mechanics (2002)

Geometric Mechanics

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"Geometric Mechanics" by Waldyr M. Oliva is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications.

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Best For: Students and researchers in physics and mathematics interested in the geometric approach to mechanics.
Focus: Intrinsic and geometric aspects of mechanical models on pseudo-Riemannian manifolds, including classical mechanics and relativity.
Covers: Newtonian mechanics foundations, special and general relativity, and mathematical structures related to geometric mechanics.
Why It Matters: Provides a mathematical framework linking classical mechanics with modern theories of relativity through geometric methods.

"Geometric Mechanics" by Waldyr M. Oliva is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Dynamics

Author: Waldyr M. Oliva

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications.

AuthorWaldyr M. Oliva
PublisherSpringer Science & Business Media
Published2002-10-23
ISBN-139783540442424
BindingPaperback
Pages292
LanguageEnglish
SubjectsLanguage Arts & Disciplines
TopicDynamics
SeriesLecture Notes in Mathematics

Format: Paperback

Length: 292 pages

Language: English

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