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001 978-0-387-49431-9
003 DE-He213
005 20181204132643.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387494319
_9978-0-387-49431-9
024 7 _a10.1007/978-0-387-49431-9
_2doi
040 _aISI Library, Kolkata
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBW
_2thema
082 0 4 _a519
_223
245 1 0 _aVorticity, Statistical Mechanics, and Monte Carlo Simulation
_h[electronic resource] /
_cedited by Chjan Lim, Joseph Nebus.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aXIV, 290 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Monographs in Mathematics,
_x1439-7382
505 0 _aProbability -- Statistical Mechanics -- The Monte Carlo Approach -- Spectral Methods -- Discrete Models in Fluids -- Spin-Lattice Models -- Monte Carlo Simulations of Spin-Lattice Models on the Sphere -- Polyhedra and Ground States -- Mesh Generation -- Statistical Mechanics for a Vortex Gas -- Two-Layer Quasi-Geostrophic Models -- Coupled Barotropic Vorticity Dynamics on a Rotating Sphere.
520 _aThis book is drawn from across many active fields of mathematics and physics, and has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors f this book explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them. In reading this book, the reader will learn how to research a topic and how to understand statistical mechanics treatments of fluid dynamics. Of particular interest should be the application of Monte Carlo methods to problems like dispersal of points on the sphere, the phase transitions of in viscid fluid flows in models that increasingly approach the conditions of actual planetary atmospheres, and the treatment of negative absolute temperatures and the effects these extremely high-energy states have on fluid flows. Special attention is given to spherical models as well. This book is intended for the upper-level undergraduate or the beginning graduate level courses of mathematics and physics. It will also be of interest to readers interested in statistical mechanics methods applied to fluid mechanics problems. Readers will gain an understanding of how to synthesize new mathematics by applying familiar tools in new ways, and develop new tools to fit particular applications.
650 0 _aMathematics.
650 0 _aDifferentiable dynamical systems.
650 0 _aStatistical physics.
650 1 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aDynamical Systems and Ergodic Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M1204X
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aFluid- and Aerodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21026
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
700 1 _aLim, Chjan.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aNebus, Joseph.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441922472
776 0 8 _iPrinted edition:
_z9780387514604
776 0 8 _iPrinted edition:
_z9780387350752
830 0 _aSpringer Monographs in Mathematics,
_x1439-7382
856 4 0 _uhttps://doi.org/10.1007/978-0-387-49431-9
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425459
_d425459