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RePoSS #11: The Mathematics of Niels Henrik Abel: Continuation ...

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List <strong>of</strong> Tables<br />

2.1 Time <strong>of</strong> publications <strong>of</strong> CRELLE’s Journal 1826–29 . . . . . . . . . . . . . . . . 32<br />

2.2 List <strong>of</strong> most productive authors in CRELLE’s Journal 1826–29 . . . . . . . . . 33<br />

2.3 Summary <strong>of</strong> NIELS HENRIK ABEL’s biography . . . . . . . . . . . . . . . . . 37<br />

5.1 RUFFINI’s classification <strong>of</strong> permutations . . . . . . . . . . . . . . . . . . . . . 86<br />

5.2 <strong>The</strong> N m<br />

circles formed by applying (As<br />

At ) to A1, . . . , AN. . . . . . . . . . . . . . 94<br />

6.1 <strong>The</strong> order and degree <strong>of</strong> some expressions in CARDANO’s solution to the<br />

general cubic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103<br />

10.1 LAGRANGE’s monographs on his algebraic analysis . . . . . . . . . . . . . . 197<br />

11.1 CAUCHY’s textbooks on the calculus . . . . . . . . . . . . . . . . . . . . . . . 208<br />

15.1 LEGENDRE’s publications on elliptic transcendentals . . . . . . . . . . . . . . 293<br />

15.2 LEGENDRE’s classification <strong>of</strong> elliptic integrals . . . . . . . . . . . . . . . . . . 294<br />

15.3 ABEL’s early unpublished works on elliptic integrals and related topics . . . 298<br />

18.1 Important dates in the ABEL-JACOBI-rivalry . . . . . . . . . . . . . . . . . . . 346<br />

A.1 Correspondence sorted by sender . . . . . . . . . . . . . . . . . . . . . . . . . 403<br />

A.1 Correspondence sorted by sender (cont.) . . . . . . . . . . . . . . . . . . . . . 404<br />

A.1 Correspondence sorted by sender (cont.) . . . . . . . . . . . . . . . . . . . . . 405<br />

B.1 <strong>Abel</strong> manuscript collections in Oslo . . . . . . . . . . . . . . . . . . . . . . . . 408<br />

B.2 <strong>Abel</strong> manuscripts in Oslo, MS:592 . . . . . . . . . . . . . . . . . . . . . . . . . 408<br />

B.3 <strong>Abel</strong> manuscripts in Oslo, MS:434 . . . . . . . . . . . . . . . . . . . . . . . . . 409<br />

B.4 <strong>Abel</strong> notebooks in Oslo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 409<br />

B.5 <strong>Abel</strong> manuscripts in the Mittag-Leffler Institute, Djursholm . . . . . . . . . . 410<br />

vii

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