000			05349cam a2200973Ia 4500
001			ocn316553001
003			OCoLC
005			20141103172225.0
006			m o d
007			cr cn|||||||||
008			090320s1987 ne ob 001 0 eng d
040			_aOPELS _beng _cOPELS _dOPELS _dOCLCQ _dOCLCF _dOCLCO _dDEBBG _dN$T _dIDEBK _dE7B _dUA@ _dOCLCE
019			_a312403311 _a646774103 _a802299825 _a823839783 _a823907714 _a824096930 _a824149821
020			_a9780444702265
020			_a0444702261
020			_a9780080872520 (electronic bk.)
020			_a0080872522 (electronic bk.)
020			_a1281798053
020			_a9781281798053
029	1		_aNZ1 _b15193021
029	1		_aDEBBG _bBV036962481
029	1		_aDEBSZ _b407391037
029	1		_aAU@ _b000048130666
029	1		_aDEBBG _bBV039834204
035			_a(OCoLC)316553001 _z(OCoLC)312403311 _z(OCoLC)646774103 _z(OCoLC)802299825 _z(OCoLC)823839783 _z(OCoLC)823907714 _z(OCoLC)824096930 _z(OCoLC)824149821
037			_a127713:122763 _bElsevier Science & Technology _nhttp://www.sciencedirect.com
042			_adlr
050		4	_aQA1 _b.N86 no. 117eb
050		4	_aQA241 _b.A45 1987eb
072		7	_aMAT _x002040 _2bisacsh
072		7	_aPBF _2bicssc
082	0	4	_a510 _222
082	0	4	_a512/.3 _222
084			_aMAT 260f _2stub
084			_aSI 867 _2rvk
049			_aTEFA
100	1		_aAlling, Norman L.
245	1	0	_aFoundations of analysis over surreal number fields _h[electronic resource] / _cNorman L. Alling.
260			_aAmsterdam ; _aNew York : _bNorth-Holland ; _aNew York, N.Y., U.S.A. : _bSole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., _c1987.
300			_a1 online resource (xvi, 373 p.)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aNorth-Holland mathematics studies ; _v141
490	1		_aNotas de matem�atica ; _v117
520			_aIn this volume, a tower of surreal number fields is defined, each being a real-closed field having a canonical formal power series structure and many other higher order properties. Formal versions of such theorems as the Implicit Function Theorem hold over such fields. The Main Theorem states that every formal power series in a finite number of variables over a surreal field has a positive radius of hyper-convergence within which it may be evaluated. Analytic functions of several surreal and surcomplex variables can then be defined and studied. Some first results in the one variable case are derived. A primer on Conway's field of surreal numbers is also given. Throughout the manuscript, great efforts have been made to make the volume fairly self-contained. Much exposition is given. Many references are cited. While experts may want to turn quickly to new results, students should be able to find the explanation of many elementary points of interest. On the other hand, many new results are given, and much mathematics is brought to bear on the problems at hand.
504			_aIncludes bibliographical references (p. 353-358) and index.
588			_aDescription based on print version record.
506			_3Use copy _fRestrictions unspecified _2star _5MiAaHDL
533			_aElectronic reproduction. _b[S.l.] : _cHathiTrust Digital Library, _d2011. _5MiAaHDL
538			_aMaster and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. _uhttp://purl.oclc.org/DLF/benchrepro0212 _5MiAaHDL
583	1		_adigitized _c2011 _hHathiTrust Digital Library _lcommitted to preserve _2pda _5MiAaHDL
650		0	_aSurreal numbers.
650		0	_aAlgebraic fields.
650		0	_aMathematical analysis.
650		6	_aNombres surr�eels.
650		6	_aCorps alg�ebriques.
650		6	_aAnalyse math�ematique.
650		7	_aAlgebraic fields. _2fast _0(OCoLC)fst00804931
650		7	_aMathematical analysis. _2fast _0(OCoLC)fst01012068
650		7	_aSurreal numbers. _2fast _0(OCoLC)fst01139537
650		7	_aMATHEMATICS _xAlgebra _xIntermediate. _2bisacsh
650		4	_as�erie formelle.
650		4	_as�erie puissance.
650		4	_aespace affine.
650		4	_atopologie.
650		4	_anombre r�eel.
650		7	_aCorps alg�ebriques. _2ram
650		7	_aAnalyse math�ematique. _2ram
650	0	7	_aZahlk�orper. _2swd
653			_aAlgebraic number fields
655		4	_aElectronic books.
655		7	_aSurrealer Zahlk�orper. _2swd
776	0	8	_iPrint version: _aAlling, Norman L. _tFoundations of analysis over surreal number fields. _dAmsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987 _z0444702261 _z9780444702265 _w(DLC) 87006735 _w(OCoLC)15629532
830		0	_aNorth-Holland mathematics studies ; _v141.
830		0	_aNotas de matem�atica (Rio de Janeiro, Brazil) ; _vno. 117.
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444702265
856	4		_uhttp://www.sciencedirect.com/science/publication?issn=03040208&volume=141 _3Volltext
938			_aebrary _bEBRY _nebr10258747
938			_aEBSCOhost _bEBSC _n239765
938			_aIngram Digital eBook Collection _bIDEB _n179805
942			_cEB
994			_aC0 _bTEF
999			_c21846 _d21846