000 02681nam a22004455i 4500
001 978-94-91216-37-4
003 DE-He213
005 20161121231218.0
007 cr nn 008mamaa
008 120301s2008 fr | s |||| 0|eng d
020 _a9789491216374
_9978-94-91216-37-4
024 7 _a10.2991/978-94-91216-37-4
_2doi
050 4 _aQA150-272
072 7 _aPBF
_2bicssc
072 7 _aMAT002000
_2bisacsh
082 0 4 _a512
_223
100 1 _aLorentzen, Lisa.
_eauthor.
245 1 0 _aContinued Fractions
_h[electronic resource] :
_bConvergence Theory /
_cby Lisa Lorentzen, Haakon Waadeland.
250 _a2.
264 1 _aParis :
_bAtlantis Press,
_c2008.
300 _aVII, 308p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAtlantis Studies in Mathematics for Engineering and Science,
_x1875-7642 ;
_v1
505 0 _aIntroductory examples -- Basics -- Convergence criteria -- Periodic and limit periodic continued fractions -- Numerical computation of continued fractions.
520 _aContinued Fractions consists of two volumes — Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic functions by continued fractions. Taken together, the two volumes will present the basic continued fractions theory without requiring too much previous knowledge; some basic knowledge of complex functions will suffice. Both new and advanced graduate students of continued fractions shall get a comprehensive understanding of how these infinite structures work in a number of applications, and why they work so well. A varied buffet of possible applications to whet the appetite is presented first, before the more basic but modernized theory is given. This new edition is the result of an increasing interest in computing special functions by means of continued fractions. The methods described in detail are, in many cases, very simple, yet reliable and efficient.
650 0 _aMathematics.
650 0 _aAlgebra.
650 1 4 _aMathematics.
650 2 4 _aAlgebra.
700 1 _aWaadeland, Haakon.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
830 0 _aAtlantis Studies in Mathematics for Engineering and Science,
_x1875-7642 ;
_v1
856 4 0 _uhttp://dx.doi.org/10.2991/978-94-91216-37-4
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c510207
_d510207