A Student`s Guide to Analytical Mechanics, John L. Bohn
Автор: Bohn, John L. (university Of Colorado Boulder) Название: Student`s guide to analytical mechanics ISBN: 1316509079 ISBN-13(EAN): 9781316509074 Издательство: Cambridge Academ Рейтинг: Цена: 3326.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An accessible guide to analytical mechanics, clearly explaining the mathematical theory to help students formulate, solve and interpret problems in mechanics. Each chapter includes easily-visualised examples to provide context and reinforcement of important theory, and concludes with a set of exercises to test understanding.
Автор: Lagrange, J.L Название: Analytical Mechanics ISBN: 9048147794 ISBN-13(EAN): 9789048147793 Издательство: Springer Рейтинг: Цена: 36570.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: to the English translation of Lagrange's Mecanique Analytique Lagrange's Mecanique Analytique appeared early in 1788 almost exactly one cen- tury after the publication of Newton's Principia Mathematica. It marked the culmination of a line of research devoted to recasting Newton's synthetic, geomet- ric methods in the analytic style of the Leibnizian calculus. Its sources extended well beyond the physics of central forces set forth in the Principia. Continental au- thors such as Jakob Bernoulli, Daniel Bernoulli, Leonhard Euler, Alexis Clairaut and Jean d'Alembert had developed new concepts and methods to investigate problems in constrained interaction, fluid flow, elasticity, strength of materials and the operation of machines. The Mecanique Analytique was a remarkable work of compilation that became a fundamental reference for subsequent research in exact science. During the eighteenth century there was a considerable emphasis on extending the domain of analysis and algorithmic calculation, on reducing the dependence of advanced mathematics on geometrical intuition and diagrammatic aids. The analytical style that characterizes the Mecanique Analytique was evident in La- grange's original derivation in 1755 of the 8-algorithm in the calculus of variations. It was expressed in his consistent attempts during the 1770s to prove theorems of mathematics and mechanics that had previously been obtained synthetically. The scope and distinctiveness of his 1788 treatise are evident if one compares it with an earlier work of similar outlook, Euler's Mechanica sive Motus Scientia Analyt- 1 ice Exposita of 1736.
Автор: De Sapio Название: Advanced Analytical Dynamics ISBN: 1107179602 ISBN-13(EAN): 9781107179608 Издательство: Cambridge Academ Рейтинг: Цена: 13622.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intended for graduate students, this textbook provides an understanding of the theoretical underpinnings of analytical mechanics, as well as modern task-based approaches that can be exploited for real-world problems. Students will receive a timely perspective on applying theory to modern problems in areas like biomechanics and robotics.
Автор: A.I. Lurie; A. Belyaev Название: Analytical Mechanics ISBN: 3642536506 ISBN-13(EAN): 9783642536502 Издательство: Springer Рейтинг: Цена: 19591.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: A. Boissonnade; J.L. Lagrange; V.N. Vagliente Название: Analytical Mechanics ISBN: 0792343492 ISBN-13(EAN): 9780792343493 Издательство: Springer Рейтинг: Цена: 36570.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offering an account of Lagrangian mechanics, this work uses the Principle of Virtual Work in conjunction with the Lagrangian Multiplier to solve the 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.
Автор: Hand, Louis N. Finch, Janet D. Название: Analytical mechanics ISBN: 0521575729 ISBN-13(EAN): 9780521575720 Издательство: Cambridge Academ Рейтинг: Цена: 11563.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An advanced undergraduate-level textbook introducing the key analytical techniques of classical mechanics.
Автор: Carl S. Helrich Название: Analytical Mechanics ISBN: 3319444905 ISBN-13(EAN): 9783319444901 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Valentin V. Rumyantsev; Alexander V. Karapetyan Название: Modern Methods of Analytical Mechanics and their Applications ISBN: 321183138X ISBN-13(EAN): 9783211831380 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Aims at giving a comprehensive view of modern methods of analytical mechanics and their applications. This course is at an advanced level, and is designed for postgraduate students, research engineers and academics, who are familiar with basic concepts of analytical dynamics and stability theory. It is also applicable to general dynamical systems.
Описание: Proceedings of the IUTAM Symposium held in Cardiff, UK, 18-22 June 2001
Автор: Franco Strocchi Название: A primer of analytical mechanics. ISBN: 3319737600 ISBN-13(EAN): 9783319737607 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Preface.- 1 Difficulties of Cartesian Newtonian Mechanics.- 1.1 Constraint forces.- 1.2 Non-inertial frames and fictitious forces.- 2 Lagrange equations.- 2.1 Degrees of freedom and Lagrangian coordinates.- 2.2 Lagrangian form of Newton's equations.- 2.3 Lagrange equations.- 2.4 Lagrange equations at work. Examples.- 2.5 Generalized potential.- 2.6 Larmor theorem.- 2.7 Physical meaning of Lagrange equations; conjugate momenta.- 2.8 Cyclic variables, symmetries and conserved conjugate momenta.- 2.9 Non-uniqueness of the Lagrangian.- 3 Hamilton equations.- 3.1 Energy conservation.- 3.2 Hamilton equations.- 3.3 Coordinate transformations and Hamilton equations.- 3.4 Canonical transformations.- 4 Poisson brackets and canonical structure.- 4.1 Constants of motion identified by.- Poisson brackets.- 4.2 General properties of Poisson brackets.- 4.3 Canonical structure.- 4.4 Invariance of Poisson brackets under canonical transformations.- 5 Generation of canonical transformations.- 5.1 Alternative characterization of canonical transformations.- 5.2 Extended canonical transformations.- 5.3 Generators of continuous groups of canonical transformations.- 5.4 Symmetries and conservation laws. Noether theorem.- 6 Small oscillations.- 6.1 Equilibrium configurations. Stability.- 6.2 Small oscillations.- 7 The common Poisson algebra of classical and quantum mechanics.- 7.1 Dirac Poisson algebra.- 7.2 A common Poisson algebra of classical and quantum mechanics.- Index.
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.
Автор: Lemos Nivaldo A. Название: Analytical Mechanics ISBN: 1108416586 ISBN-13(EAN): 9781108416580 Издательство: Cambridge Academ Рейтинг: Цена: 10771.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An introduction to the basic principles and methods of analytical mechanics, including a number of advanced topics. 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.
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