A Treatise on the Analytical Dynamics of Particles and Rigid Bodies PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Treatise on the Analytical Dynamics of Particles and Rigid Bodies PDF full book. Access full book title A Treatise on the Analytical Dynamics of Particles and Rigid Bodies by E. T. Whittaker. Download full books in PDF and EPUB format.
Author: E. T. Whittaker
Publisher: Cambridge University Press
ISBN: 9780521358835
Category : Mathematics
Languages : en
Pages : 482
Get Book Here
Book Description
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: E. T. Whittaker
Publisher: Cambridge University Press
ISBN: 9780521358835
Category : Mathematics
Languages : en
Pages : 482
Get Book Here
Book Description
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: L. A. Pars
Publisher:
ISBN: 9780918024077
Category : Science
Languages : en
Pages : 641
Get Book Here
Book Description
Author: Edmund Taylor Whittaker
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 416
Get Book Here
Book Description
Author: John G. Papastavridis
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814338714
Category : Mathematics
Languages : en
Pages : 1392
Get Book Here
Book Description
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: J.L. Lagrange
Publisher: Springer Science & Business Media
ISBN: 9401589038
Category : Science
Languages : en
Pages : 634
Get Book Here
Book Description
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.
Author: A.I. Lurie
Publisher: Springer Science & Business Media
ISBN: 3540456775
Category : Technology & Engineering
Languages : en
Pages : 859
Get Book Here
Book Description
This is a translation of A.I. Lurie’s classical Russian textbook on analytical mechanics. It offers a consummate exposition of the subject of analytical mechanics through a deep analysis of its most fundamental concepts. The book has served as a desk text for at least two generations of researchers working in those fields where the Soviet Union accomplished the greatest technological breakthrough of the 20th century - a race into space. Those and other related fields continue to be intensively explored since then, and the book clearly demonstrates how the fundamental concepts of mechanics work in the context of up-to-date engineering problems.
Author: John G Papastavridis
Publisher: World Scientific
ISBN: 9814590363
Category : Mathematics
Languages : en
Pages : 1417
Get Book Here
Book Description
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: Pierre Simon marquis de Laplace
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 314
Get Book Here
Book Description
Author: John G. Papastavridis
Publisher: Routledge
ISBN: 1351411616
Category : Mathematics
Languages : en
Pages : 444
Get Book Here
Book Description
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: Antonio Fasano
Publisher: Oxford University Press on Demand
ISBN: 0198508026
Category : Mathematics
Languages : en
Pages : 788
Get Book Here
Book Description
Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems.
