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001 978-3-540-44730-6
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008 121227s2001 gw | s |||| 0|eng d
020 _a9783540447306
_9978-3-540-44730-6
024 7 _a10.1007/3-540-44730-X
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.1
_223
100 1 _aCalogero, Francesco.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aClassical Many-Body Problems Amenable to Exact Treatments
_h[electronic resource] :
_b(Solvable and/or Integrable and/or Linearizable...) in One-, Two- and Three-Dimensional Space /
_cby Francesco Calogero.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2001.
300 _aXVIII, 749 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v66
505 0 _aClassical (Nonquantal, Nonrelativistic) Many-Body Problems -- One-Dimensional Systems. Motions on the Line and on the Circle -- N-Body Problems Treatable Via Techniques of Exact Lagrangian Interpolation in Space of One or More Dimensions -- Solvable and/or Integrable Many-Body Problems in the Plane, Obtained by Complexification -- Many-Body Systems in Ordinary (Three-Dimensional) Space: Solvable, Integrable, Linearizable Problems -- Appendices: A: Elliptic Functions -- B: Functional Equations -- C: Hermite Polynomials -- D: Remarkable Matrices and Related Identities -- E: Langrangian Approximation for Eigenvalue Problems in One and More Dimensions -- F: Some Theorems of Elementary Geometry in Multidimensions -- G: Asymptotic Behavior of the Zeros of a Polynomial Whose Coefficients Diverge Exponentially -- H: Some Formulas for Pauli Matrices and Three-Vectors -- References.
520 _aThis book focuses on exactly treatable classical (i.e. non-quantal non-relativistic) many-body problems, as described by Newton's equation of motion for mutually interacting point particles. Most of the material is based on the author's research and is published here for the first time in book form. One of the main novelties is the treatment of problems in two- and three-dimensional space. Many related techniques are presented, e.g. the theory of generalized Lagrangian-type interpolation in higher-dimensional spaces. This book is written for students as well as for researchers; it works out detailed examples before going on to treat more general cases. Many results are presented via exercises, with clear hints pointing to their solutions.
650 0 _aMechanics.
650 0 _aMathematics.
650 1 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
650 2 4 _aClassical Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/P21018
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662143445
776 0 8 _iPrinted edition:
_z9783662143438
776 0 8 _iPrinted edition:
_z9783540417644
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v66
856 4 0 _uhttps://doi.org/10.1007/3-540-44730-X
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
999 _c10802
_d10802