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Mathematical Aspects of Classical and Celestial Mechanics
 
 
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Mathematical Aspects of Classical and Celestial Mechanics [Paperback]

V.V. Kozlov (Author), A.I. Neishtadt (Author), V.I. Arnold (Author, Editor), A. Iacob (Translator)


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Paperback, February 14, 1997 --  

Book Description

3540612246 978-3540612247 February 14, 1997 2nd
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


Editorial Reviews

Review

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

Language Notes

Text: English (translation)
Original Language: Russian --This text refers to the Hardcover edition.

Product Details

  • Paperback: 291 pages
  • Publisher: Springer; 2nd edition (February 14, 1997)
  • Language: English
  • ISBN-10: 3540612246
  • ISBN-13: 978-3540612247
  • Product Dimensions: 9.3 x 6.2 x 0.8 inches
  • Shipping Weight: 1 pounds
  • Amazon Best Sellers Rank: #6,405,619 in Books (See Top 100 in Books)

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Inside This Book (learn more)
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First Sentence:
For describing the motion of a mechanical system various mathematical models are used based on different "principles" - laws of motion. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
distinct librations, vakonomic mechanics, incommensurability condition, proper degeneracy, invariant tori close, homoclinic motions, collinear libration points, perturbed tori, homographic solution, lower dimensional invariant tori, oscillatory domain, relative integral invariant, averaged system, separatrix crossings, symmetric force field, triangular libration points, asymptotic surfaces, perturbed torus, hyperbolic tori, multivalued integral, resonant normal form, natural mechanical system, heavy rigid body, symplectic polar, major semiaxes
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Solar System, Applying Theorem
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