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| Author | : John L. Bohn |
| Publisher | : Cambridge University Press |
| Total Pages | : 219 |
| Release | : 2018-08-30 |
| Genre | : Science |
| ISBN | : 1107145767 |
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 |
| Total Pages | : 219 |
| Release | : 2018-08-30 |
| Genre | : Science |
| ISBN | : 1108693237 |
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 |
| Total Pages | : 185 |
| Release | : 2014 |
| Genre | : Mathematics |
| ISBN | : 1107042887 |
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 |
| Total Pages | : 569 |
| Release | : 1998-11-13 |
| Genre | : Science |
| ISBN | : 1139643312 |
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 | : Sanjoy Mahajan |
| Publisher | : Cambridge University Press |
| Total Pages | : 215 |
| Release | : 2020-06-18 |
| Genre | : Science |
| ISBN | : 1108471145 |
Master Newton's laws of motion, the basis of modern science and engineering, with this intuitive and accessible text.
| Author | : Carl S. Helrich |
| Publisher | : Springer |
| Total Pages | : 359 |
| Release | : 2016-10-01 |
| Genre | : Science |
| ISBN | : 3319444913 |
This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.
| Author | : Don S. Lemons |
| Publisher | : Cambridge University Press |
| Total Pages | : 115 |
| Release | : 2017-03-16 |
| Genre | : Mathematics |
| ISBN | : 1107161150 |
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 | : Nivaldo A. Lemos |
| Publisher | : Cambridge University Press |
| Total Pages | : 475 |
| Release | : 2018-08-09 |
| Genre | : Science |
| ISBN | : 1108416586 |
An introduction to the basic principles and methods of analytical mechanics, with selected examples of advanced topics and areas of ongoing research.
| Author | : Haroutune Mugurditch Dadourian |
| Publisher | : |
| Total Pages | : 427 |
| Release | : 1915 |
| Genre | : Mechanics, Analytic |
| ISBN | : |
| Author | : Joseph S. Torok |
| Publisher | : John Wiley & Sons |
| Total Pages | : 378 |
| Release | : 1999-11-04 |
| Genre | : Technology & Engineering |
| ISBN | : 9780471332077 |
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)
