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Analytical Mechanics, Moretti


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Автор: Moretti
Название:  Analytical Mechanics
ISBN: 9783031276118
Издательство: Springer
Классификация:


ISBN-10: 3031276116
Обложка/Формат: Soft cover
Страницы: 832
Вес: 1.59 кг.
Дата издания: 15.06.2023
Серия: La matematica per il 3+2
Язык: English
Издание: 1st ed. 2023
Иллюстрации: 1 illustrations, color; 27 illustrations, black and white; xxv, 832 p. 28 illus., 1 illus. in color.
Размер: 157 x 238 x 45
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This textbook aims at introducing readers, primarily students enrolled in undergraduate Mathematics or Physics courses, to the topics and methods of classical Mathematical Physics, including Classical Mechanics, its Lagrangian and Hamiltonian formulations, Lyapunov stability, plus the Liouville theorem and the Poincar? recurrence theorem among others. The material also rigorously covers the theory of Special Relativity. The logical-mathematical structure of the physical theories of concern is introduced in an axiomatic way, starting from a limited number of physical assumptions. Special attention is paid to themes with a major impact on Theoretical and Mathematical Physics beyond Analytical Mechanics, such as the Galilean symmetry of classical Dynamics and the Poincar? symmetry of relativistic Dynamics, the far-fetching relationship between symmetries and constants of motion, the coordinate-free nature of the underpinning mathematical objects, or the possibility of describing Dynamics in a global way while still working in local coordinates. Based on the author’s established teaching experience, the text was conceived to be flexible and thus adapt to different curricula and to the needs of a wide range of students and instructors.
Дополнительное описание: 1 The Space and Time of Classical Physics.- 2 The Spacetime of Classical Physics and Classical Kinematics.- 3 Newtonian dynamics: a conceptual critical review.- 4 Balance equations and first integrals in Mechanics.- 5 Introduction to Rigid Body Mechanics.


A Student`s Guide to Analytical Mechanics

Автор: John L. Bohn
Название: A Student`s Guide to Analytical Mechanics
ISBN: 1107145767 ISBN-13(EAN): 9781107145764
Издательство: Cambridge Academ
Рейтинг:
Цена: 40130.00 T
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.

Elementary Mechanics Using Python

Название: Elementary Mechanics Using Python
ISBN: 3319195956 ISBN-13(EAN): 9783319195957
Издательство: Springer
Рейтинг:
Цена: 41920.00 T
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Описание: Elementary Mechanics Using Python

Analytical Mechanics

Автор: Lagrange, J.L
Название: Analytical Mechanics
ISBN: 9048147794 ISBN-13(EAN): 9789048147793
Издательство: Springer
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Цена: 243800.00 T
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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.

Gradually-varied Flow Profiles in Open Channels

Автор: Chyan-Deng Jan
Название: Gradually-varied Flow Profiles in Open Channels
ISBN: 3662511681 ISBN-13(EAN): 9783662511688
Издательство: Springer
Рейтинг:
Цена: 87060.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book shows how to solve GVF profiles using direct integration and Gaussian hypergeometric function. Lays groundwork for computing at one sweep the GVF profiles in a series of sustaining and adverse channels, which may have horizontal slopes between them.

Analytical Methods for Problems of Molecular Transport

Автор: I.N. Ivchenko; S.K. Loyalka; R.V. Tompson, Jr.
Название: Analytical Methods for Problems of Molecular Transport
ISBN: 1402058640 ISBN-13(EAN): 9781402058646
Издательство: Springer
Рейтинг:
Цена: 93130.00 T
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Описание: This book is a superb tool in virtually all application areas involving the Kinetic Theory of Gases, Rarefied Gas Dynamics, Transport Theory, and Aerosol Mechanics.

Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained

Автор: Pletser Vladimir
Название: Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained
ISBN: 9811330255 ISBN-13(EAN): 9789811330254
Издательство: Springer
Рейтинг:
Цена: 149060.00 T
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Описание:

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.

Dynamics of Bodies with Time-Variable Mass

Автор: Livija Cveticanin
Название: Dynamics of Bodies with Time-Variable Mass
ISBN: 3319220551 ISBN-13(EAN): 9783319220550
Издательство: Springer
Рейтинг:
Цена: 74530.00 T
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Описание: This book deals with the problem of dynamics of bodies with time-variable mass and moment of inertia. Mass addition and mass separation from the body are treated. Dynamics of constant body is adopted, and the characteristics of the mass variation of the body is included. The chaotic motion of bodies with variable mass is discussed too.

Classical and Analytical Mechanics: Theory, Applied Examples, and Practice

Автор: Poznyak Alexander S.
Название: Classical and Analytical Mechanics: Theory, Applied Examples, and Practice
ISBN: 0323898165 ISBN-13(EAN): 9780323898164
Издательство: Elsevier Science
Рейтинг:
Цена: 241420.00 T
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Описание:

Classical and Analytical Mechanics: Theory, Applied Examples, and Practice provides a bridge between the theory and practice related to mechanical, electrical, and electromechanical systems. It includes rigorous mathematical and physical explanations while maintaining an interdisciplinary engineering focus. Applied problems and exercises in mechanical, mechatronic, aerospace, electrical, and control engineering are included throughout and the book provides detailed techniques for designing models of different robotic, electrical, defense, and aerospace systems. The book starts with multiple chapters covering kinematics before moving onto coverage of dynamics and non-inertial and variable mass systems. Euler's dynamic equations and dynamic Lagrange equations are covered next with subsequent chapters discussing topics such as equilibrium and stability, oscillation analysis, linear systems, Hamiltonian formalism, and the Hamilton-Jacobi equation. The book concludes with a chapter outlining various electromechanical models that readers can implement and adapt themselves.


Analytical Mechanics

Автор: Merches, Ioan
Название: Analytical Mechanics
ISBN: 1482239396 ISBN-13(EAN): 9781482239393
Издательство: Taylor&Francis
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Цена: 91860.00 T
Наличие на складе: Нет в наличии.

Analytical Mechanics

Автор: Carl S. Helrich
Название: Analytical Mechanics
ISBN: 3319444905 ISBN-13(EAN): 9783319444901
Издательство: Springer
Рейтинг:
Цена: 55890.00 T
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.

A primer of analytical mechanics.

Автор: Franco Strocchi
Название: A primer of analytical mechanics.
ISBN: 3319737600 ISBN-13(EAN): 9783319737607
Издательство: Springer
Рейтинг:
Цена: 46570.00 T
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.

Gradually-varied Flow Profiles in Open Channels

Автор: Chyan-Deng Jan
Название: Gradually-varied Flow Profiles in Open Channels
ISBN: 3642352413 ISBN-13(EAN): 9783642352416
Издательство: Springer
Рейтинг:
Цена: 111790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book shows how to solve GVF profiles using direct integration and Gaussian hypergeometric function. Lays groundwork for computing at one sweep the GVF profiles in a series of sustaining and adverse channels, which may have horizontal slopes between them.


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