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LEADER: 03243fam a2200397 a 4500
001 1996060
005 20220609045100.0
008 941214s1996 enka b 001 0 eng
010 $a 94048506
020 $a0521450071 (hardback)
035 $a(OCoLC)31776481
035 $a(OCoLC)ocm31776481
035 $9AML8577CU
035 $a(NNC)1996060
035 $a1996060
040 $aDLC$cDLC$dDLC$dOrLoB-B
050 00 $aQC20.7.P3$bB35 1996
082 00 $a515/.2432$220
100 1 $aBaker, George A.$q(George Allen),$d1932-$0http://id.loc.gov/authorities/names/n81032271
245 10 $aPadé approximants /$cGeorge A. Baker, Jr., Peter Graves-Morris.
250 $a2nd ed.
260 $aCambridge [England] ;$aNew York :$bCambridge University Press,$c1996.
300 $axiv, 746 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aEncyclopedia of mathematics and its applications ;$vv. 59
504 $aIncludes bibliographical references (p. 695-740) and index.
505 00 $g1.$tIntroduction and definitions --$g2.$tElementary developments --$g3.$tPade approximants and numerical methods --$g4.$tConnection with continued fractions --$g5.$tStieltjes series and Polya series --$g6.$tConvergence theory --$g7.$tExtensions of Pade approximations --$g8.$tMultiseries approximants --$g9.$tConnection with integral equations and quantum mechanics --$g10.$tConnection with numerical analysis --$g11.$tConnection with quantum field theory --$tAppendix: A FORTRAN FUNCTION.
520 $aThe Pade approximant of a given power series is a rational function of numerator degree L and denominator degree M whose power series agrees with the given one up to degree L + M inclusively. A collection of Pade approximants formed by using a suitable set of values of L and M often provides a means of obtaining information about the function outside its circle of convergence, and of more rapidly evaluating the function within its circle of convergence.
520 8 $aApplications of these ideas in physics, chemistry, electrical engineering, and other areas have led to a large number of generalizations of Pade approximants that are tailor-made for specific applications. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, computational methods, and integral and algebraic approximants.
520 8 $aThe book is written with a smooth progression from elementary ideas to some of the frontiers of research in approximation theory. Its main purpose is to make the various techniques described accessible to scientists, engineers, and other researchers who may wish to use them, while also presenting the rigorous mathematical theory.
650 0 $aPadé approximant.$0http://id.loc.gov/authorities/subjects/sh85096553
650 0 $aMathematical physics.$0http://id.loc.gov/authorities/subjects/sh85082129
700 1 $aGraves-Morris, P. R.$0http://id.loc.gov/authorities/names/n81035640
830 0 $aEncyclopedia of mathematics and its applications ;$vv. 59.$0http://id.loc.gov/authorities/names/n42010632
852 00 $bmat$hQC20.7.P3$iB35 1996