Lagrangian Mechanics PDF Download
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Author | : Alain Jean Brizard |
Publisher | : World Scientific |
Total Pages | : 276 |
Release | : 2008 |
Genre | : Science |
ISBN | : 9812818367 |
Download An Introduction to Lagrangian Mechanics Book in PDF, ePub and Kindle
An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler?Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.This textbook is suitable for undergraduate students who have acquired the mathematical skills needed to complete a course in Modern Physics.
Author | : Patrick Hamill |
Publisher | : Cambridge University Press |
Total Pages | : 185 |
Release | : 2014 |
Genre | : Mathematics |
ISBN | : 1107042887 |
Download A Student's Guide to Lagrangians and Hamiltonians Book in PDF, ePub and Kindle
A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
Author | : Anh Le Van |
Publisher | : John Wiley & Sons |
Total Pages | : 326 |
Release | : 2019-06-03 |
Genre | : Science |
ISBN | : 1119629713 |
Download Lagrangian Mechanics Book in PDF, ePub and Kindle
Lagrangian Mechanics explains the subtleties of analytical mechanics and its applications in rigid body mechanics. The authors demonstrate the primordial role of parameterization, which conditions the equations and thus the information obtained; the essential notions of virtual kinematics, such as the virtual derivative and the dependence of the virtual quantities with respect to a reference frame; and the key concept of perfect joints and their intrinsic character, namely the invariance of the fields of compatible virtual velocities with respect to the parameterization. Throughout the book, any demonstrated results are stated with the respective hypotheses, clearly indicating the applicability conditions for the results to be ready for use. Numerous examples accompany the text, facilitating the understanding of the calculation mechanisms. The book is mainly intended for Bachelor's, Master's or engineering students who are interested in an in-depth study of analytical mechanics and its applications.
Author | : Melvin G Calkin |
Publisher | : World Scientific Publishing Company |
Total Pages | : 240 |
Release | : 1999-03-12 |
Genre | : Science |
ISBN | : 9813105410 |
Download Lagrangian And Hamiltonian Mechanics: Solutions To The Exercises Book in PDF, ePub and Kindle
This book contains the exercises from the classical mechanics text Lagrangian and Hamiltonian Mechanics, together with their complete solutions. It is intended primarily for instructors who are using Lagrangian and Hamiltonian Mechanics in their course, but it may also be used, together with that text, by those who are studying mechanics on their own.
Author | : Peter Mann |
Publisher | : Oxford University Press |
Total Pages | : 553 |
Release | : 2018 |
Genre | : Mathematics |
ISBN | : 0198822375 |
Download Lagrangian and Hamiltonian Dynamics Book in PDF, ePub and Kindle
An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting. Lagrangian and Hamiltonian dynamics is the continuation of Newton's classical physics into new formalisms, each highlighting novel aspects of mechanics that gradually build in complexity to form the basis for almost all of theoretical physics. Lagrangian and Hamiltonian dynamics also acts as a gateway to more abstract concepts routed in differential geometry and field theories and can be used to introduce these subject areas to newcomers. Journeying in a self-contained manner from the very basics, through the fundamentals and onwards to the cutting edge of the subject, along the way the reader is supported by all the necessary background mathematics, fully worked examples, thoughtful and vibrant illustrations as well as an informal narrative and numerous fresh, modern and inter-disciplinary applications. The book contains some unusual topics for a classical mechanics textbook. Most notable examples include the 'classical wavefunction', Koopman-von Neumann theory, classical density functional theories, the 'vakonomic' variational principle for non-holonomic constraints, the Gibbs-Appell equations, classical path integrals, Nambu brackets and the full framing of mechanics in the language of differential geometry.
Author | : Andrew Bennett |
Publisher | : Cambridge University Press |
Total Pages | : 23 |
Release | : 2006-03-09 |
Genre | : Mathematics |
ISBN | : 0521853109 |
Download Lagrangian Fluid Dynamics Book in PDF, ePub and Kindle
This 2006 book provides a detailed and comprehensive analytical development of the Lagrangian formulation of fluid dynamics.
Author | : David Morin |
Publisher | : Cambridge University Press |
Total Pages | : 713 |
Release | : 2008-01-10 |
Genre | : Science |
ISBN | : 1139468375 |
Download Introduction to Classical Mechanics Book in PDF, ePub and Kindle
This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.
Author | : Taeyoung Lee |
Publisher | : Springer |
Total Pages | : 539 |
Release | : 2017-08-14 |
Genre | : Mathematics |
ISBN | : 3319569538 |
Download Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds Book in PDF, ePub and Kindle
This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.
Author | : Alexei Deriglazov |
Publisher | : Springer Science & Business Media |
Total Pages | : 317 |
Release | : 2010-08-28 |
Genre | : Science |
ISBN | : 3642140378 |
Download Classical Mechanics Book in PDF, ePub and Kindle
Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book considers the basics facts of Lagrangian and Hamiltonian mechanics, as well as related topics, such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material. The mathematical constructions involved are explicitly described and explained, so the book can be a good starting point for the undergraduate student new to this field. At the same time and where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for the graduate students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.
Author | : Vladimir Pletser |
Publisher | : Springer |
Total Pages | : 128 |
Release | : 2018-11-23 |
Genre | : Science |
ISBN | : 9811330263 |
Download Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained Book in PDF, ePub and Kindle
This textbook introduces readers to the detailed and methodical resolution of classical and more recent problems in analytical mechanics. This valuable learning tool includes worked examples and 40 exercises with step-by-step solutions, carefully chosen for their importance in classical, celestial and quantum mechanics. The collection comprises six chapters, offering essential exercises on: (1) Lagrange Equations; (2) Hamilton Equations; (3) the First Integral and Variational Principle; (4) Canonical Transformations; (5) Hamilton – Jacobi Equations; and (6) Phase Integral and Angular Frequencies Each chapter begins with a brief theoretical review before presenting the clearly solved exercises. The last two chapters are of particular interest, because of the importance and flexibility of the Hamilton-Jacobi method in solving many mechanical problems in classical mechanics, as well as quantum and celestial mechanics. Above all, the book provides students and teachers alike with detailed, point-by-point and step-by-step solutions of exercises in Lagrangian and Hamiltonian mechanics, which are central to most problems in classical physics, astronomy, celestial mechanics and quantum physics.