000 02670nam a22005055i 4500
001 978-3-7091-0445-3
003 DE-He213
005 20140220083818.0
007 cr nn 008mamaa
008 110114s2011 au | s |||| 0|eng d
020 _a9783709104453
_9978-3-7091-0445-3
024 7 _a10.1007/978-3-7091-0445-3
_2doi
050 4 _aQA164-167.2
072 7 _aPBV
_2bicssc
072 7 _aMAT036000
_2bisacsh
082 0 4 _a511.6
_223
100 1 _aKauers, Manuel.
_eauthor.
245 1 4 _aThe Concrete Tetrahedron
_h[electronic resource] :
_bSymbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates /
_cby Manuel Kauers, Peter Paule.
264 1 _aVienna :
_bSpringer Vienna :
_bImprint: Springer,
_c2011.
300 _aIX, 203 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University Linz, Austria,
_x0943-853X
505 0 _a1 Introduction -- 2 Formal Power Series -- 3 Polynomials -- 4 C-Finite Sequences -- 5 Hypergeometric Series -- 6 Algebraic Functions -- 7 Holonomic Sequences and Power Series -- Appendix -- References -- Index.
520 _aThe book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates. Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aCombinatorics.
650 0 _aNumber theory.
650 1 4 _aMathematics.
650 2 4 _aCombinatorics.
650 2 4 _aDiscrete Mathematics.
650 2 4 _aNumber Theory.
650 2 4 _aAlgebra.
700 1 _aPaule, Peter.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783709104446
830 0 _aTexts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University Linz, Austria,
_x0943-853X
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-7091-0445-3
912 _aZDB-2-SCS
999 _c108676
_d108676