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Mathematical Aspects of Classical and Celestial Mechanics

2007-07-05 Mathematics
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Release : 2007-07-05
Genre : Mathematics
Kind : eBook
Book Rating : 266/5 ( reviews)

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Book Synopsis Mathematical Aspects of Classical and Celestial Mechanics by : Vladimir I. Arnold

Download or read book Mathematical Aspects of Classical and Celestial Mechanics written by Vladimir I. Arnold. This book was released on 2007-07-05. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.

Mathematical Aspects of Classical and Celestial Mechanics

2013-12-01 Mathematics
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Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 377/5 ( reviews)

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Book Synopsis Mathematical Aspects of Classical and Celestial Mechanics by : V.I. Arnold

Download or read book Mathematical Aspects of Classical and Celestial Mechanics written by V.I. Arnold. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising. ... The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview. ..." American Mathematical Monthly, Nov. 1989 "This is a book to curl up with in front of a fire on a cold winter's evening. ..." SIAM Reviews, Sept. 1989

Classical and Celestial Mechanics

2002-10-13 Mathematics
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Release : 2002-10-13
Genre : Mathematics
Kind : eBook
Book Rating : 225/5 ( reviews)

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Book Synopsis Classical and Celestial Mechanics by : Hildeberto Cabral

Download or read book Classical and Celestial Mechanics written by Hildeberto Cabral. This book was released on 2002-10-13. Available in PDF, EPUB and Kindle. Book excerpt: "Brings together a number of lectures given between 1993 and 1999 as part of a special series hosted by the Federal University of Pernambuco, in which internationally established researchers came to Recife, Brazil, to lecture on classical or celestial mechanics. ... the editors have assembled nine of the lectures ... [which] includes a good balance of pure and applied research and of complete and incomplete results"--Bookjacket.

An Introduction to Celestial Mechanics

2012-06-28 Science
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Release : 2012-06-28
Genre : Science
Kind : eBook
Book Rating : 940/5 ( reviews)

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Book Synopsis An Introduction to Celestial Mechanics by : Richard Fitzpatrick

Download or read book An Introduction to Celestial Mechanics written by Richard Fitzpatrick. This book was released on 2012-06-28. Available in PDF, EPUB and Kindle. Book excerpt: This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the three-body problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments.

Lectures on the Geometry of Numbers

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 87X/5 ( reviews)

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Book Synopsis Lectures on the Geometry of Numbers by : Carl Ludwig Siegel

Download or read book Lectures on the Geometry of Numbers written by Carl Ludwig Siegel. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.

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