LEADER 03761oam 2200505 450 001 9910484024903321 005 20210618142303.0 010 $a3-030-58478-X 010 $a9783030584788 024 7 $a10.1007/978-3-030-58478-8 035 $a(CKB)4100000011610153 035 $a(DE-He213)978-3-030-58478-8 035 $a(MiAaPQ)EBC6455984 035 $a(PPN)252507495 035 $a(EXLCZ)994100000011610153 100 $a20210618d2020 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEssentials of integration theory for analysis /$fDaniel W. Stroock 205 $aSecond edition. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$d©2020 215 $a1 online resource (XVI, 285 p. 1 illus.) 225 1 $aGraduate Texts in Mathematics ;$v262 311 $a3-030-58477-1 320 $aIncludes bibliographical references and index. 327 $aPreface -- Notation -- 1. The Classical Theory.-2. Measures. -3. Lebesgue Integration.-4. Products of Measures.-5. Changes of Variable.-6. Basic Inequalities and Lebesgue Spaces.-7. Hilbert Space and Elements of Fourier Analysis.-8. Radon?Nikodym, Hahn, Daniell Integration, and Carathéodory- Index. 330 $aWhen the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhäuser title by the same author, A Concise Introduction to the Theory of Integration. Appropriate as a primary text for a one-semester graduate course in integration theory, this GTM is also useful for independent study. A complete solutions manual is available for instructors who adopt the text for their courses. This second edition has been revised as follows: §2.2.5 and §8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in §7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in §7.3.4. Section §7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections §8.2.5 and §8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on ?N are proven. Subsection 8.1.2 is new and contains a proof of the Hahn Decomposition Theorem. Finally, there are several new exercises, some covering material from the original edition and others based on newly added material. From the reviews of the first edition: ?The presentation is clear and concise, and detailed proofs are given. ? Each section also contains a long and useful list of exercises. ? The book is certainly well suited to the serious student or researcher in another field who wants to learn the topic. ?the book could be used by lecturers who want to illustrate a standard graduate course in measure theory by interesting examples from other areas of analysis.? (Lars Olsen, Mathematical Reviews 2012) ??It will help the reader to sharpen his/her sensitivity to issues of measure theory, and to renew his/her expertise in integration theory.? (Vicen?iu D. R?dulescu, Zentralblatt MATH, Vol. 1228, 2012). 410 0$aGraduate texts in mathematics ;$v262. 606 $aMeasure theory 606 $aIntegration, Functional 615 0$aMeasure theory. 615 0$aIntegration, Functional. 676 $a515.42 700 $aStroock$b Daniel W.$042628 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bUtOrBLW 906 $aBOOK 912 $a9910484024903321 996 $aEssentials of integration theory for analysis$9240450 997 $aUNINA LEADER 02941nam 2200649 450 001 9910820641303321 005 20200520144314.0 010 $a0-8131-8592-0 010 $a0-8131-6244-0 035 $a(CKB)3710000000334549 035 $a(EBL)1915753 035 $a(SSID)ssj0001435626 035 $a(PQKBManifestationID)11806050 035 $a(PQKBTitleCode)TC0001435626 035 $a(PQKBWorkID)11435183 035 $a(PQKB)10641290 035 $a(OCoLC)558431724 035 $a(MdBmJHUP)muse44270 035 $a(Au-PeEL)EBL1915753 035 $a(CaPaEBR)ebr11007474 035 $a(CaONFJC)MIL691475 035 $a(OCoLC)900344968 035 $a(MiAaPQ)EBC1915753 035 $a(EXLCZ)993710000000334549 100 $a20150127h19811981 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe place of poetry $etwo centuries of an art in crisis /$fChristopher Clausen 210 1$aLexington, Kentucky :$cThe University Press of Kentucky,$d1981. 210 4$d©1981 215 $a1 online resource (156 p.) 300 $aIncludes index. 311 $a1-322-60193-3 311 $a0-8131-5170-8 320 $aIncludes bibliographical references and index. 327 $aCover; Title; Copyright; Contents; Acknowledgments; ONE: Rhyme or Reason; TWO: Poetry as Revelation; THREE: The Land of Lost Content; FOUR: The Palgrave Version; FIVE: New Bottles; SIX: Grecian Thoughts in the Home Fields; SEVEN: The Place of Poetry; Notes; Index; A; B; C; D; E; F; G; H; I; J; K; L; M; N; P; Q; R; S; T; W; Y 330 $aSince the end of the eighteenth century, Christopher Clausen asserts, poetry has steadily declined in cultural status in the English-speaking world, yielding its former place as a bearer of truth to the advancing sciences. As the position of poetry was more and more threatened, its defenders made ever higher claims for its importance, even maintaining for a time that it would take the place of religion. But, though the Romantics brought about a sustained revival of serious poetry for a broad audience, the audience began to dwindle toward the end of the nineteenth century, and the decline accel 606 $aAmerican poetry$xHistory and criticism 606 $aEnglish poetry$y19th century$xHistory and criticism 606 $aEnglish poetry$y20th century$xHistory and criticism 606 $aLiterature and society$zEnglish-speaking countries 615 0$aAmerican poetry$xHistory and criticism. 615 0$aEnglish poetry$xHistory and criticism. 615 0$aEnglish poetry$xHistory and criticism. 615 0$aLiterature and society 676 $a821/.009 700 $aClausen$b Christopher$f1942-$01625205 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820641303321 996 $aThe place of poetry$93960584 997 $aUNINA