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Author: Sergio Cecotti
Publisher: Springer Nature
ISBN: 3031592646
Category :
Languages : en
Pages : 354
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Book Description
Author: Sergio Cecotti
Publisher: Springer Nature
ISBN: 3031592646
Category :
Languages : en
Pages : 354
Get Book Here
Book Description
Author: Thomas R. Kane
Publisher: Elsevier
ISBN: 1483274209
Category : Science
Languages : en
Pages : 267
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Book Description
Analytical Elements of Mechanics, Volume 1, is the first of two volumes intended for use in courses in classical mechanics. The books aim to provide students and teachers with a text consistent in content and format with the author's ideas regarding the subject matter and teaching of mechanics, and to disseminate these ideas. The book opens with a detailed exposition of vector algebra, and no prior knowledge of this subject is required. This is followed by a chapter on the topic of mass centers, which is presented as a logical extension of concepts introduced in connection with centroids. A theory of moments and couples is constructed without reference to forces, these being mentioned only in illustrative examples. This is done because it eventually becomes necessary to apply the theory to systems of vectors which are not forces, such as momenta and impulses. Equilibrium is discussed in the final chapter, preceded by extended examination of the concept of force.
Author: Antonio Fasano
Publisher: Oxford University Press on Demand
ISBN: 0198508026
Category : Mathematics
Languages : en
Pages : 788
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Book Description
Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems.
Author: Giovanni Gallavotti
Publisher: Springer Science & Business Media
ISBN: 3662007312
Category : Science
Languages : en
Pages : 586
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Book Description
The word "elements" in the title of this book does not convey the implica tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 1975-1978.
Author: Hanspeter Schaub
Publisher: AIAA
ISBN: 9781600860270
Category : Celestial mechanics
Languages : en
Pages : 744
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Book Description
Author: Nivaldo A. Lemos
Publisher: Cambridge University Press
ISBN: 1108416586
Category : Science
Languages : en
Pages : 475
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Book Description
An introduction to the basic principles and methods of analytical mechanics, with selected examples of advanced topics and areas of ongoing research.
Author: De Volson Wood
Publisher: BoD – Books on Demand
ISBN: 338552752X
Category : Fiction
Languages : en
Pages : 274
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Book Description
Reprint of the original, first published in 1876.
Author: De Volson Wood
Publisher:
ISBN:
Category : Fluid mechanics
Languages : en
Pages : 502
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Book Description
Author: Leon Armenovich Takhtadzhi͡an
Publisher: American Mathematical Soc.
ISBN: 0821846302
Category : Mathematics
Languages : en
Pages : 410
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Book Description
Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.
Author: Carl S. Helrich
Publisher: Springer
ISBN: 3319444913
Category : Science
Languages : en
Pages : 359
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Book Description
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.
