Author: John L. Bohn Publisher: Cambridge University Press ISBN: 1107145767 Category : Science Languages : en Pages : 219
Book Description
An accessible guide to analytical mechanics, using intuitive examples to illustrate the underlying mathematics, helping students formulate, solve and interpret problems in mechanics.
Author: John L. Bohn Publisher: Cambridge University Press ISBN: 1108693237 Category : Science Languages : en Pages : 219
Book Description
Analytical mechanics is a set of mathematical tools used to describe a wide range of physical systems, both in classical mechanics and beyond. It offers a powerful and elegant alternative to Newtonian mechanics; however it can be challenging to learn due to its high degree of mathematical complexity. Designed to offer a more intuitive guide to this abstract topic, this guide explains the mathematical theory underlying analytical mechanics; helping students to formulate, solve and interpret complex problems using these analytical tools. Each chapter begins with an example of a physical system to illustrate the theoretical steps to be developed in that chapter, and ends with a set of exercises to further develop students' understanding. The book presents the fundamentals of the subject in depth before extending the theory to more elaborate systems, and includes a further reading section to ensure that this is an accessible companion to all standard textbooks.
Author: Patrick Hamill Publisher: Cambridge University Press ISBN: 1107042887 Category : Mathematics Languages : en Pages : 185
Book Description
A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
Author: Louis N. Hand Publisher: Cambridge University Press ISBN: 1139643312 Category : Science Languages : en Pages : 569
Book Description
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.
Author: Don S. Lemons Publisher: Cambridge University Press ISBN: 1107161150 Category : Mathematics Languages : en Pages : 115
Book Description
This introduction to dimensional analysis covers the methods, history and formalisation of the field. Utilising topics including mechanics, hydro- and electrodynamics, and thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis, making it perfect for students on introductory courses in physics, engineering and mathematics.
Author: Joseph S. Torok Publisher: John Wiley & Sons ISBN: 9780471332077 Category : Technology & Engineering Languages : en Pages : 378
Book Description
Literatur zur analytischen Mechanik enthalt meist nur die klassische Theorie, an der sich seit Jahren nichts geandert hat. Dieses Buch fullt eine Lucke, indem es rund 250 neue Beispiele und rund 400 neue Aufgaben bietet sowie nun auch computergestutzte Rechenmethoden behandelt. Mathematische Theorie und ingenieurtechnische Anwendungen stehen dabei stets in einem ausgewogenen Verhaltnis zueinander. Mit vielen anschaulichen Abbildungen! (11/99)
Author: Nivaldo A. Lemos Publisher: Cambridge University Press ISBN: 1108265944 Category : Science Languages : en Pages : 475
Book Description
Analytical mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has wide-ranging applications in engineering and celestial mechanics. This introduction to the basic principles and methods of analytical mechanics covers Lagrangian and Hamiltonian dynamics, rigid bodies, small oscillations, canonical transformations and Hamilton–Jacobi theory. This fully up-to-date textbook includes detailed mathematical appendices and addresses a number of advanced topics, some of them of a geometric or topological character. These include Bertrand's theorem, proof that action is least, spontaneous symmetry breakdown, constrained Hamiltonian systems, non-integrability criteria, KAM theory, classical field theory, Lyapunov functions, geometric phases and Poisson manifolds. Providing worked examples, end-of-chapter problems, and discussion of ongoing research in the field, it is suitable for advanced undergraduate students and graduate students studying analytical mechanics.
Author: Jerry B. Marion Publisher: Academic Press ISBN: 1483272818 Category : Science Languages : en Pages : 593
Book Description
Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.
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Author: John L. Bohn
Author: John L. Bohn
Author: Patrick Hamill
Author: Louis N. Hand
Author: Don S. Lemons
Author: Haroutune Mugurditch Dadourian
Author: Sanjoy Mahajan
Author: Joseph S. Torok
Author: Nivaldo A. Lemos
Author: Jerry B. Marion