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Book Review
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Book Information
Author(s):
Leonard Lewin
Title:
Polylogarithms and associated functions
Additional book information:
North-Holland, Amsterdam, 1981, xvii + 359 pp., $54.95
References:
- 1.
- N. H. Abel, Note sur la fonction ψx = x + x, Oeuvres complètes de Niels Hendrik Abel, Tome second, Christiania 1881; reprinted by Johnson Reprint Corp., New York, 1973, pp. 189-193.
- 2.
- S. Bloch, Higher regulators, algebraic K-theory, and zeta functions of elliptic curves, Lecture notes, Univ. of California, Irvine, 1978 (preprint). MR 1760901
- 3.
- S. Bloch, The dilogarithm and extensions of Lie algebras, Algebraic K-theory (Evanston, 1980), (E. M. Friedlander and M. R. Stein, eds. ), Lecture Notes in Math., vol. 854, Springer-Verlag, Berlin, Heidelberg and New York, 1981, pp. 1-23. MR 618298
- 4.
- T. Clausen, Veber die Function sin φ + l/22sin 2φ + l/32sin3φ + etc., J. Reine Angew. Math. 8(1932), 298-300.
- 5.
- L. Lewin, Dilogarithms and associated functions, Macdonald, London, 1958. MR 105524
- 6.
- N. Lobachevsky, Imaginary geometry and its application to integration, Kasan, 1836 (Russian); German translation in N. J. Lobatschefskij's Imaginäre Geometrie und Anwendung der imaginären Geometrie auf einige Integrale, transl, by H. Liebmann, Abhand. Gesch. Math. (Leipzig) 19 (1904).
- 7.
- L. Schläfli, On the multiple integral fn dx dy • • • dz, whose limits are p1 = a1x + b1y + • • • + h1z > 0, p2 > 0,• • •,pn >0, and x2 + y2 + • • • + z2 < 1, Quart. J. Math. 2 (1858), 269-301; 3 (1860), 54-68, 97-108. Reprinted in Gesammelte Mathematische Abhandlungen, Band II, Birkhäuser, Basel, 1953, pp. 219-270.
- 8.
- W. Spence, An essay on the theory of the various orders of logarithmic transcendents, London and Edinburgh, 1809.
- 9.
- W. Spence, Mathematical essays (J. F. W. Herschel, ed. ), London, 1820.
- 10.
- W. Spence, Amer. Math. Monthly 88 (1981), 713.
- 11.
- W. Thurston, Geometry and topology of 3-manifolds, Chapter 7, "Computation of volume", notes by J. W. Milnor, Lecture notes, Princeton, N. J.
Additional Information:
Reviewer(s):
Richard
Askey
Review Information:
Journal:
Bull. Amer. Math. Soc.
6
(1982),
248-251.
DOI:
10.1090/S0273-0979-1982-14998-9
PII:
S 0273-0979(1982)14998-9
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