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Niels Henrik Abel and his Times: Called Too Soon by Flames Afar PDF

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ARILD STUBHAUG NielsHenrik Abeland his Times Springer-Verlag Berlin Heidelberg GmbH Arild Stubhaug NIELS HENRIK ABEL and his Times Called Too Soon by Flames Afar Translated from the Norwegian by Richard H. Daly With 51 Figures,13in Colour Springer ARILD STUBHAUG Grimsrudveien 88 3442Hyggen, Norway Translator: RICHARD H.DALY Sternsrudlia 1 1294Oslo, Norway Originalpublication (inNorwegian): Etforanskutt lyn:NielsHenrik Abeloghans tid,second edition 1996 © 1996H.Aschehoug&Co.(W.Nygaard),Oslo Publisher's note: Springer-Verlag thanks Elisabet Middelthon of MUNIN, Oslo, for the excellentcollaboration and financialsupportforthe translation,whichmadethe publica tion ofthis book possible. Thanks go alsoto Cathrine Janicke,AstaBrenna and Harald EngelstadofH.Aschehoug& Co.,Oslo. Thebackgroundillustrationon theendpapers showsapartofthewallpaper patternfrom Abel'sdeath room at Froland (modified after a photo byDannevig,Arendal). Moreover, theaforementioned photo iscompletelyreproducedand printedasacolorfigure(Fig.51) on p.568withamore detailed description. ISBN978-3-642-086I0-6 ISBN978-3-662-04076-8(eBook) DOI 10.1007/978-3-662-04076-8 Cataloging-in-PublicationDataapplied for. DieDeutscheBibliothek - CIP-Einheitsaufnahme Stubhaug,Arild:NielsHenrikAbelandhistimes:calledtoosoonbyflamesafar/ArildStubhaug.Trans\.by R.Daly.- Berlin;Heidelberg; NewYork;Barcelona;Hongkong;London;Mailand;Paris;Singapur;Tokio: Springer,2000 Thiswork is subject to copyright. Allrights are reserved, whether the whole or part ofthe material is concerned,specificallythe rights oftranslation,reprinting,reuseofillustrations,recitation,broadcasting, reproductiononmicrofilmsorinanyotherway,and storage indatabanks.Duplicationofthispublication orpartsthereofispermittedonlyundertheprovisions oftheGermanCopyrightLawofSeptember9,1965, initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.Violationsare liableforprosecutionundertheGermanCopyrightLaw. ©Springer-VerlagBerlinHeidelberg2000 OriginallypublishedbySpringer-VerlagBerlinHeidelbergNewYorkin2000. Softcoverreprint ofthehardcover Istedition2000 Theuseofgeneraldescriptive names,registered names,trademarks,etc.inthispublicationdoesnotimply, eveninthe absence ofaspecificstatement,that suchnames areexempt from therelevant protectivelaws and regulationsand thereforefreeforgeneral use. CoverDesign:ErichKirchner,Heidelberg.Germany Production:PROEDITGmbH,D-69126Heidelberg,Germany Printedonacid-free paper SPIN:10699500 46/3143Re- 543210 Contents PART I Intro.d.uction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. AShort Life. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 PART II Family Background. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2. The AbelFamilyTree . . . . . . . . . . . . . . . . . . . . . . . . . . .. 35 3. Father's Period ofSchooling and Study in Denmark . . . . . . . . . . 45 4. Vicar and Curate. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 5. Abeland the Simonsen Familyin Riser . . . . . . . . . . . . . . . . . 59 PART III Childhood at Gjerstad 6. Priest at Pinney, Church Affairsin the Kristiansand Diocese . . . .. 69 7. Niels Henrik's First Years 79 8. Childhood Learning, Childhood Faith . . . . . . . . . . . . . . . . . . 85 9. Everyday Lifein the Shadow ofWar . . . . . . . . . . . . . . . . . .. 89 10. Ground Swellsfrom Offshore . . . . . . . . . . . . . . . . . . . . . .. 97 11. NewSounds in Cityand Hamlet 103 12. Home and Abroad,Crises and TurningPoints . . . . . . . . . . . . . 109 13. S.G.AbelSteps into Politics . . . . . . . . . . . . . . . . . . . . . . . . 115 14. The Times DuringWhich NielsHenrik GrewUp . . . . . . . . . . .. 125 15. NielsHenrik LeavesHome. . . . . . . . . . . . . . . . . . . . . . . . . 131 VI Contents PART IV Disciple in Christiania, 1815-1821 139 16. Meeting ANew Era . . ... . . . . . . 141 17. School Life,Money Worries, and the Joys ofthe Theatre . . 147 18. EverydayLifein Christiania.S.G.Abel Enters the Public Spotlight . 161 19. Confirmation and Direction in Life 171 20. The Fateful Year, 1818 . . . 181 21. Christiania, Fall,1818 199 22. Into Mathematical History . . . . . 201 23. School Days and Many More Stories 213 24. To the Examen artium and Further Studies 223 25. Student and Homeless. . . . . . . . . . . . . 239 PART V StudentLife,1821-1825 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249 26. Free Room and Board at "Regentsen" 251 27. Examen Philosophicum: The Course ofStudies and the Teachers. 255 28. Student Lifeand Circle ofFriends . 261 29. Spring and Early Summer, 1822 . . . 271 30. Summer, Autumn, Winter, Spring. . 277 31. Copenhagen - Travel, Summer, 1823 287 32. The Quintic Equation and Future Plans 301 33. Betrothal and Preparations . . . . . . . . 311 PART VI Europe-Travel 321 34. Through Copenhagen and Hamburg to Berlin . . . . .. 323 35. Berlin, October1825to March 1826 . . . . . . 329 36. Via Leipzig to Freiberg . . . 351 37. Through Dresden to Prague . . . 355 38. To Vienna . . . . . . . . . . . . . . . 369 39. From Vienna to Graz and Trieste 379 40. Onward to Venice, via Bologna to Bolzano 385 41. In the Dolomites, over to Innsbruck and on to Mount Rigi . . . . 391 42. Paris, July roth to December zoth, 1826. . . . . . . . . . . . . 395 43. The Homeward Journeyvia Berlin and Copenhagen . . . . . . . . . . 421 Contents VII PART VII The Last Year in Norway 429 44. BackHome . . . . . . . . . 431 45. Christiania, Autumn, 1827 441 46. From January to July,1828 451 47. The Final Summer .. ... 459 48. The Final Round, Autumn, 1828 . 465 PART VIII 49. Deathbed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 481 ApPENDIX 1. Chronology . . . . . . . . . . . . . . . . . . . . . . . . . . . 497 2. Commentaries and SupplementaryReadings . 501 3. Chronological Bibliography ofAbel's Published Works. 545 4. Annotated Bibliography . 553 INDEXOFNAMES 569 List ofIllustrations Figure1 Niels HenrikAbelsculptureby Gustav Leerum 1 Figure 2 Riser, 1817 . . . • .. .. . .. . . . .. . . 33 Figure3 Gjerstadvicarage,drawnby P.M.Tuxen . 67 Figure 4 Gjerstadchurch,drawnby John Aas . 133 Figure5a.b PortraitsofHans Mathias AbelandElisabethKnuth Abel 134 Figure 6a.b Seren GeorgAbel's teachingbookandsilhouettes . 135 Figure 7 Map ofsouthern Norwayinthe 1820S . 136 Figure 8 Christianiaat Bjervika . 139 Figure 9 CornerofDronningensgateandTollbodgaten . . 153 Figure 10a.b CathedralSchoolauditorium usedby Parliament andsilhouetteofSerenGeorgAbel . . . . . . . . . 154 Figure 11 Keilhau'swatercolourofIotunheimenmountains 155 Figure 12 Old taproomon Maridalsveien . 157 Figure 13 Map ofChristianiaanddistrict,byC.B.Roosen, 1830 . . 205 Figure 14a-d Portraits ofHolmboe,Keilhau,MaschmannandM011er 206 Figure 15a-d PortraitsofBoeck,Hansteen,Rasmussen andTreschow 207 Figure 16 Marketdays in Christiania . . . . . . . . . . . . . . 208 Figure 17 Drammensveiennearthe Arbiens estate, 1820S . Figure 18 ProfessorMichael Skjelderup's estate on NedreSkillebeek,1827 .. .. . . . . . .. . ....•. . . 281 Figure 19a.b UniversityMariboeBuilding, the lemniscate, andAbel's elliptical integralcalculations 282 Figure 20 Pagefrom Abel's workbooks . 283 Figure 21 PortraitofChariteBorch . 285 Figure 22 Gendarmenmarkt,Berlin,1825 . 321 Figure 23 Dresden'sBruhl'sTerrace,byJ.C.Dahl 339 Figure 24 a-c PortraitsofAugustLeopoldCrelle,NilsOtto Tank and Jacob Steiner . 340 Figure 25a-d Portraits ofC.F.Degen, J.J.von Littrow, C.F.Gauss, andH.C.Schumacher . . . 341 Figure 26 The "NeueAula" inVienna . . . . . . . . . . . . . . . . 342 x ListofIllustrations Figure 27 L'EcolePolytechniquein Paris ... . Figure 28a-c Portraits ofIohanGerbitz,AlexisBouvard andJ. N-P.Hachette 362 Figure 29a-d PortraitsofA.1. Cauchy, F.-V.Raspail, G.P.1. Dirichlet andE.Galois . . . . . . . . . . . . . . . . . . . 363 Figure 30 UniversityofBerlin,1820. . . . . . . . . . . 364 Figure 31 "Blickvom KreuzbergaufBerlin" . . . . . 405 Figure 32 Theviewfrom MountRigi,1830. . . . . . 406 Figure 33 Map ofEurope,1825 . . . . . . . . . 407 Figure 34 ViewofParis, bySeyfert,1818 . . . . . . . . 408 Figure 35 Arendal,sketchedin1848. . . . . . . . . . . . 429 Figure 36 Christianiaasseen from Ekeberg, 1835 . . . . . . . . 435 Figure 37 PortraitofChristineKemp, 1835 . . . . . . 436 Figure 38 Gerbitz' portraitofAbel,paintedin1826. . . . 437 Figure 39 Froland Ironworks,1831 . . 438 Figure 40 Rosefrom the wallpaperin the "buckroom", at the family homeofSivert Smith, FrolandIronworks .. 479 Figure 41 Bust ofAbelby BrynjulfBergslien . . . . . . . . . . . . . . . 494 Figure 42a,b The Vigelandmonumentto Abel,andan Abelportrait byNilsGude afterthe Gerbitzoriginal . . . . . . . . . . . . 503 Figure 43 Pagefrom Abel's Paris notebooks, showingthe lemniscate . . 504 Figure 44 Partialpage from Abel's Paris notebooks · . 505 Figure 45 EngravingofDokken,Christianshavn,Denmark . · . 506 Figure 46a/c The spiralwith which Abelconcludedhis works, Abel's sealwith the profileofAthena, and"NHA 1810"scratchedon awindowat Gjerstad · . 507 Figure 47 Title page ofAbel's CollectedWorks,VolumeI .. . 508 Figure 48a,b Abel's gravestone,andthe memorialobelisk at FrolandWorks, datingfrom 1905 509 Figure 49a-c Bas-reliefAbelprofile,I. Vik'swinningmodel for the Abelmemorialsculpture,1902, andthe BrynjulfBergslien bustat GjerstadParish 510 Figure 50a-c Abelon Norway's500kronerbanknote (1948-91), Abelpostagestamp,and RueAbel,Paris .. . . 511 Figure 51 Wallpaperfrom Abel's death room at Froland . . · . 568 PART I Introduction Fig.1.NielsHenrikAbel,sculpturebyGustavLeerurn,1902.OriginallycastinplasterofParis forthe1902competitionheldontheoccasionofthecentennialofAbel'sbirth;nowlocated inthe mainhouseofFroland Ironworks,Arendal.Photo: Dannevig,Arendal.

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Read about the dramatic life of an outstanding mathematical genius: Niels Henrik Abel (1802-1829). Arild Stubhaug, who is both a historian and a mathematician, has written the definitive biography of Niels Henrik Abel. The Norwegian original edition was a sensational success, and Arild Stubhaug was
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