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Glen, & Thomas Brown$dAnno Dom. 1673 215 $a108 p 300 $aInscription on t.p.: John Hay. 300 $aTwo pages of versified Psalms tipped in at end. 300 $aImperfect: stained with slight loss of text. 300 $aReproduction of the original in the National Library of Scotland. 330 $aeebo-0097 606 $aLatin language$vConversation and phrase books$vEarly works to 1800 615 0$aLatin language 700 $aVives$b Juan Luis$f1492-1540.$0330633 801 0$bEAE 801 1$bEAE 906 $aBOOK 912 $a996397213203316 996 $aLinguæ Latinæ exercitatio$92322688 997 $aUNISA LEADER 01298nam 2200373Ia 450 001 996391903003316 005 20221108090156.0 035 $a(CKB)1000000000678169 035 $a(EEBO)2240908688 035 $a(OCoLC)45578119 035 $a(EXLCZ)991000000000678169 100 $a20001215d1656 uy 0 101 0 $aeng 135 $aurbn||||a|bb| 200 12$aA declaration of the witness of God manifested in me from my youth$b[electronic resource] 210 $a[London $cs.n.]$dPrinted in the yeare 1656 215 $a[8] p 300 $aCaption title. 300 $aSigned: William Ames. 300 $aPlace of publication suggested by Wing. 300 $aImperfect: pages cropped, with some loss of print. 300 $aReproduction of original in the Friends' Library, London. 330 $aeebo-0080 606 $aChristian life$xQuaker authors$vEarly works to 1800 606 $aConduct of life$xQuaker authors$vEarly works to 1800 615 0$aChristian life$xQuaker authors 615 0$aConduct of life$xQuaker authors 700 $aAmes$b William$fd. 1662.$01006024 801 0$bEAE 801 1$bEAE 906 $aBOOK 912 $a996391903003316 996 $aA declaration of the witness of God manifested in me from my youth$92407857 997 $aUNISA LEADER 03815nam 22005895 450 001 9910254074203321 005 20200703113330.0 010 $a3-319-30744-4 024 7 $a10.1007/978-3-319-30744-2 035 $a(CKB)3710000000717745 035 $a(DE-He213)978-3-319-30744-2 035 $a(MiAaPQ)EBC6314238 035 $a(MiAaPQ)EBC5594614 035 $a(Au-PeEL)EBL5594614 035 $a(OCoLC)953142637 035 $z(PPN)258870826 035 $a(PPN)19407918X 035 $a(EXLCZ)993710000000717745 100 $a20160505d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aReal Analysis /$fby Peter A. Loeb 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (XII, 274 p.) 311 $a3-319-30742-8 327 $aPreface -- Set Theory and Numbers -- Measure on the Real Line -- Measurable Functions -- Integration -- Differentiation and Integration -- General Measure Spaces -- Introduction to Metric and Normed Spaces -- Hilbert Spaces -- Topological Spaces -- Measure Construction -- Banach Spaces -- Appendices -- References. . 330 $aThis textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors. The first half of the book develops both Lebesgue measure and, with essentially no additional work for the student, general Borel measures for the real line. Notation indicates when a result holds only for Lebesgue measure. Differentiation and absolute continuity are presented using a local maximal function, resulting in an exposition that is both simpler and more general than the traditional approach. The second half deals with general measures and functional analysis, including Hilbert spaces, Fourier series, and the Riesz representation theorem for positive linear functionals on continuous functions with compact support. To correctly discuss weak limits of measures, one needs the notion of a topological space rather than just a metric space, so general topology is introduced in terms of a base of neighborhoods at a point. The development of results then proceeds in parallel with results for metric spaces, where the base is generated by balls centered at a point. The text concludes with appendices on covering theorems for higher dimensions and a short introduction to nonstandard analysis including important applications to probability theory and mathematical economics. . 606 $aFunctions of real variables 606 $aFunctional analysis 606 $aMeasure theory 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 615 0$aFunctions of real variables. 615 0$aFunctional analysis. 615 0$aMeasure theory. 615 14$aReal Functions. 615 24$aFunctional Analysis. 615 24$aMeasure and Integration. 676 $a515 700 $aLoeb$b Peter A$4aut$4http://id.loc.gov/vocabulary/relators/aut$059462 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254074203321 996 $aReal analysis$91523597 997 $aUNINA LEADER 01276oam 2200409z 450 001 9911019628803321 005 20231018222031.0 010 $a3-527-28310-2 035 $a(CKB)1000000000687506 035 $a(SSID)ssj0000353905 035 $a(PQKBManifestationID)11965111 035 $a(PQKBTitleCode)TC0000353905 035 $a(PQKBWorkID)10302172 035 $a(PQKB)11153282 035 $a(EXLCZ)991000000000687506 100 $a20160829g19919999 uy 0 101 0 $aeng 181 $ctxt 182 $cc 183 $acr 200 00$aBiotechnology $ea multi-volume comprehensive treatise /$fedited by H.-J. 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