MARC Record from harvard_bibliographic_metadata

LEADER: 04381nam a22004695a 4500
001 014158602-8
005 20141003190751.0
008 111230s1997 gw | o ||0| 0|eng d
020 $a9783642612374
020 $a9783540612247 (ebk.)
020 $a9783642612374
020 $a9783540612247
024 7 $a10.1007/978-3-642-61237-4$2doi
035 $a(Springer)9783642612374
040 $aSpringer
050 4 $aQA299.6-433
072 7 $aMAT034000$2bisacsh
072 7 $aPBK$2bicssc
082 04 $a515$223
100 1 $aArnold, V. I.,$eauthor.
245 10 $aMathematical Aspects of Classical and Celestial Mechanics /$cby V. I. Arnold, V. V. Kozlov, A. I. Neishtadt.
250 $aSecond Edition.
264 1 $aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c1997.
300 $aXIV, 294 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aMathematical Aspects of Classical and Celestial Mechanics,$x0938-0396 ;$v3
505 0 $a1. Basic Principles of Classical Mechanics -- § 1. Newtonian Mechanics -- § 2. Lagrangian Mechanics -- § 3. Hamiltonian Mechanics -- § 4. Vakonomic Mechanics -- § 5. Hamiltonian Formalism with Constraints -- § 6. Realization of Constraints -- 2. The ?-Body Problem -- § 1. The Two-Body Problem -- § 2. Collisions and Regularization -- § 3. Particular Solutions -- § 4. Final Motions in the Three-Body Problem -- § 5. The Restricted Three-Body Problem -- § 6. Ergodic Theorems in Celestial Mechanics -- 3. Symmetry Groups and Reduction (Lowering the Order) -- § 1. Symmetries and Linear First Integrals -- § 2. Reduction of Systems with Symmetry -- § 3. Relative Equilibria and Bifurcations of Invariant Manifolds -- 4. Integrable Systems and Integration Methods -- § 1. Brief Survey of Various Approaches to the Integrability of Hamiltonian Systems -- § 2. Completely Integrable Systems -- §3. Some Methods of Integrating Hamiltonian Systems -- §4. Nonholonomic Integrable Systems -- 5. Perturbation Theory for Integrable Systems -- §1. Averaging of Perturbations -- §2. Averaging in Hamiltonian Systems -- §3. The KAM Theory -- § 4. Adiabatic Invariants -- 6. Nonintegrable Systems -- §1. Near-Integrable Hamiltonian Systems -- § 2. Splitting of Asymptotic Surfaces -- § 3. Quasi-Random Oscillations -- § 4. Nonintegrability in the Neighborhood of an Equilibrium Position (Siegel’s Method) -- § 5. Branching of Solutions and Nonexistence of Single-Valued First Integrals -- § 6. Topological and Geometrical Obstructions to Complete Integrability of Natural Systems with Two Degrees of Freedom -- 7. Theory of Small Oscillations -- §1. Linearization -- § 2. Normal Forms of Linear Oscillations -- § 3. Normal Forms of Hamiltonian Systems Near Equilibria -- § 4. Normal Forms of Hamiltonian Systems Near Closed Trajectories -- § 5. Stability of Equilibria in Conservative Fields -- Comments on the Bibliography -- Recommended Reading.
520 $aFrom 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
650 10 $aMathematics.
650 0 $aGlobal analysis (Mathematics)
650 0 $aMathematics.
650 24 $aAnalysis.
650 24 $aTheoretical, Mathematical and Computational Physics.
700 1 $aNeĭshtadt, A. I.,$eauthor.
700 1 $aKozlov, V. V.,$eauthor.
776 08 $iPrinted edition:$z9783540612247
830 0 $aMathematical Aspects of Classical and Celestial Mechanics ;$v3.
988 $a20140910
906 $0VEN