A Treatise on Analytical Dynamics
Author | : L. A. Pars |
Publisher | : |
Total Pages | : 641 |
Release | : 1965 |
Genre | : Science |
ISBN | : 9780918024077 |
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Author | : L. A. Pars |
Publisher | : |
Total Pages | : 641 |
Release | : 1965 |
Genre | : Science |
ISBN | : 9780918024077 |
Author | : Edmund Taylor Whittaker |
Publisher | : |
Total Pages | : 416 |
Release | : 1904 |
Genre | : Dynamics |
ISBN | : |
Author | : L. A. Pars |
Publisher | : |
Total Pages | : 692 |
Release | : 1965 |
Genre | : Dynamics |
ISBN | : |
Author | : E. T. Whittaker |
Publisher | : Cambridge University Press |
Total Pages | : 482 |
Release | : 1988-12-15 |
Genre | : Mathematics |
ISBN | : 9780521358835 |
This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and then applied to dynamical systems, including three-body systems and celestial mechanics. Very many examples and exercisies are supplied throughout.
Author | : Pierre Simon marquis de Laplace |
Publisher | : |
Total Pages | : 314 |
Release | : 1814 |
Genre | : Mechanics, Analytic |
ISBN | : |
Author | : John G. Papastavridis |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 1392 |
Release | : 2014 |
Genre | : Mathematics |
ISBN | : 9789814338714 |
This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.
Author | : Pars |
Publisher | : |
Total Pages | : 641 |
Release | : 1965 |
Genre | : |
ISBN | : 9780471667629 |
Author | : John G. Papastavridis |
Publisher | : Routledge |
Total Pages | : 435 |
Release | : 2018-12-12 |
Genre | : Mathematics |
ISBN | : 1351411624 |
Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of Frobenius The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.
Author | : Edmund Taylor Whittaker |
Publisher | : |
Total Pages | : 480 |
Release | : 1927 |
Genre | : Dynamics |
ISBN | : |
Author | : J.L. Lagrange |
Publisher | : Springer Science & Business Media |
Total Pages | : 634 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 9401589038 |
The Mécanique analytique presents a comprehensive account of Lagrangian mechanics. In this work, Lagrange used the Principle of Virtual Work in conjunction with the Lagrangian Multiplier to solve all problems of statics. For the treatment of dynamics, a third concept had to be added to the first two - d'Alembert's Principle - in order to develop the Lagrangian equations of motion. Hence, Lagrange was able to unify the entire science of mechanics using only three concepts and algebraic operations.