Stopple, J.A primer of analytic number theory (Cambridge University Press, 2003), 0 521 01253 8 (paperback) £22.95, 0 521 81309 3 (hardback) £65

0 - 521 - 84903 - 6 - Multiplicative Number Theory I . Classical Theory

The general rationale of analytic number theory is to derive statistical information about a sequence {an} from the analytic behaviour of an appropriate generating function, such as a power series ∑ anz or a Dirichlet series ∑ ann−s . The type of generating function employed depends on the problem being investigated. There are no rigid rules governing the kind of generating function that is app...

Worldwide Asset and Liability Modeling; W.T. Ziemba and J.M. Mulvey (eds.); Cambridge University Press, Cambridge, 1998, ISBN: 0-521-57187-1, hardback (US$ 95.00)

- 0 - 521 - 76028 - 7 - The Cambridge Companion to Greek

The only fully intact textual evidence from fifth-century and (very) early fourth-century comedy are the eleven completely preserved comedies by Aristophanes, who was born, in all likelihood, shortly after 450 bce and died after 388 bce.1 This is, in fact, not as thin a basis as one might initially think. For not only is the number of completely preserved Aristophanic comedies actually quite hi...

0 - 521 - 88119 - 7 - The Cambridge Companion to Duke Ellington

Abrams, Muhal Richard, 272 Absinthe, 191 Acht O’Clock Rock, 176 Across the Track Blues, 123, 176 Ad Lib on Nippon, 62, 162, 178, 207, 208, 258 Adams, Stephen, 215 Adler, Richard, 158 Adventures in Jazz (television), xvii Aesthetic Realism, 1, 4, 14, 17 Afro-Bossa (LP), xviii, 38, 158, 257 Afro-Eurasian Eclipse, The, xx, 52, 64, 165, 210, 222, 259 After All, 190 Agnew, Spiro, 164 Agra, 194, 258 ...

978 - 0 - 521 - 11309 - 0 - Ellipsoidal Harmonics : Theory and Applications

The sphere, because of its high symmetry, is what might be called a perfect shape. Unfortunately nature is imperfect and many apparently spherical bodies are better represented by an ellipsoid. Consequently in calculations about gravitational potential, for example, spherical harmonics have to be replaced by the much more complex ellipsoidal harmonics. Their theory, which was originated in the ...