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Analytic Mechanics
  • Language: en
  • Pages: 306
Modern Analytic Mechanics
  • Language: en
  • Pages: 341

Modern Analytic Mechanics

By modern analytic mechanics we mean the classical mechanics of today, that is, the mechanics that has proven particularly useful in understanding the universe as we experience it from the solar system, to particle accelerators, to rocket motion. The mathematical and numerical techniques that are part of this mechanics that we present are those that we have found to be particularly productive in our work in the subject. The balance of topics in this book is somewhat different from previous texts. We emphasize the use of phase space to describe the dynamics of a system and to have a qualitative understanding of nonlinear systems. We incorporate exercises that are to be done using a computer t...

Analytic Mechanics
  • Language: en
  • Pages: 593

Analytic Mechanics

  • Type: Book
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  • Published: 1924
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  • Publisher: Unknown

None

Elements of Analytical Mechanics
  • Language: en
  • Pages: 510

Elements of Analytical Mechanics

  • Type: Book
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  • Published: 1866
  • -
  • Publisher: Unknown

None

A Treatise Upon Analytical Mechanics
  • Language: en
  • Pages: 286

A Treatise Upon Analytical Mechanics

  • Type: Book
  • -
  • Published: 1814
  • -
  • Publisher: Unknown

None

Analytic Mechanics
  • Language: en
  • Pages: 320

Analytic Mechanics

  • Type: Book
  • -
  • Published: 2017-08-19
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  • Publisher: Unknown

None

Analytical Mechanics
  • Language: en

Analytical Mechanics

Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.

Analytical Mechanics
  • Language: en
  • Pages: 359

Analytical Mechanics

A stimulating, modern approach to analytical mechanics Analytical Mechanics with an Introduction to Dynamical Systems offers a much–needed, up–to–date treatment of analytical dynamics to meet the needs of today′s students and professionals. This outstanding resource offers clear and thorough coverage of mechanics and dynamical systems, with an approach that offers a balance between physical fundamentals and mathematical concepts. Exceptionally well written and abundantly illustrated, the book contains over 550 new problems–more than in any other book on the subject–along with user–friendly computational models using MATLAB. Featured topics include: ∗ An overview of fundamenta...

Analytical Mechanics
  • Language: en
  • Pages: 540
Methods of Differential Geometry in Analytical Mechanics
  • Language: en
  • Pages: 482

Methods of Differential Geometry in Analytical Mechanics

  • Type: Book
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  • Published: 2011-08-18
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  • Publisher: Elsevier

The differential geometric formulation of analytical mechanics not only offers a new insight into Mechanics, but also provides a more rigorous formulation of its physical content from a mathematical viewpoint. Topics covered in this volume include differential forms, the differential geometry of tangent and cotangent bundles, almost tangent geometry, symplectic and pre-symplectic Lagrangian and Hamiltonian formalisms, tensors and connections on manifolds, and geometrical aspects of variational and constraint theories. The book may be considered as a self-contained text and only presupposes that readers are acquainted with linear and multilinear algebra as well as advanced calculus.