000 03429cam a2200577Ki 4500
001 9780429291456
003 FlBoTFG
005 20220509193024.0
006 m o d
007 cr cnu---unuuu
008 190709s2019 flu o 000 0 eng d
040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9780415016131
_q(electronic bk.)
020 _a0415016134
_q(electronic bk.)
020 _a9781000005387
_q(electronic bk.)
020 _a1000005380
_q(electronic bk.)
020 _a9780429291456
_q(electronic bk.)
020 _a0429291450
_q(electronic bk.)
020 _a9781000018721
_q(electronic bk. : Mobipocket)
020 _a1000018725
_q(electronic bk. : Mobipocket)
020 _a9781000012200
_q(electronic bk. : EPUB)
020 _a1000012204
_q(electronic bk. : EPUB)
020 _z9781498772679
020 _z1498772676
024 8 _a10.1201/9780429291456
_2doi
035 _a(OCoLC)1107699637
035 _a(OCoLC-P)1107699637
050 4 _aQA299.82
_b.D56 2019eb
072 7 _aMAT
_x037000
_2bisacsh
072 7 _aMAT
_x028000
_2bisacsh
072 7 _aMAT
_x003000
_2bisacsh
072 7 _aPBK
_2bicssc
082 0 4 _a511.3/4
_223
100 1 _aDinis, Bruno,
_eauthor.
245 1 0 _aNeutrices and external numbers :
_ba flexible number system /
_cBruno Dinis, Imme van den Berg.
264 1 _aBoca Raton, Florida :
_bCRC Press,
_c[2019]
300 _a1 online resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aMonographs and research notes in mathematics
520 _aNeutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of the nonstandard set of real numbers. Many illustrative examples are given. The book starts with detailed presentation of the algebraic structure of external numbers, then deals with the generalized Dedekind completeness property, applications in analysis, domains of validity of approximations of solutions of differential equations, particularly singular perturbations. Finally, it describes the family of algebraic laws characterizing the practice of calculations with external numbers. Features Presents scalar neutrices and external numbers, a mathematical model of order of magnitude within the real number system. Outlines complete algebraic rules for the neutrices and external numbers Conducts operational analysis of convergence and integration of functions known up to orders of magnitude Formalises a calculus of error propagation, covariant with algebraic operations Presents mathematical models of phenomena incorporating their necessary imprecisions, in particular related to the Sorites paradox
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aNonstandard mathematical analysis.
650 0 _aModel theory.
650 7 _aMATHEMATICS / Functional Analysis
_2bisacsh
650 7 _aMATHEMATICS / Set Theory
_2bisacsh
650 7 _aMATHEMATICS / Applied
_2bisacsh
700 1 _aBerg, Imme van den,
_eauthor.
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9780429291456
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999 _c128376
_d128376