Mathematics of Computation

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ISSN 1088-6842(e) ISSN 0025-5718(p)

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Book reviews do not contain an abstract. You may download the entire set of reviews from this issue using the links below.

Review information:

Journal: Math. Comp. 73, 1577-1582
DOI: 10.1090/S0025-5718-04-01695-3
PII: S 0025-5718(04)01695-3
Posted: March 26, 2004
Copyright of article: Copyright 2004, American Mathematical Society
Retrieve reviews in: PDF DVI PostScript

Chebyshev polynomials, by J. C. Mason and D. C. Handscomb
Chapman & Hall/CRC, Boca Raton, FL, 2002, xiii+341, $99.95
2000 Mathematics Subject Classification. Primary 33C45

Reviewed by: Christine Bernardi
E-mail address: bernardi@ann.jussieu.fr

Level set methods and dynamic implicit surfaces, by Stanley Osher and Ron Fedkiw
Applied Mathematical Sciences, 153, Springer-Verlag, New York, 2003, xiii+273, hardcover $79.95
2000 Mathematics Subject Classification. Primary 65Mxx, 65C20, 65Dxx, 65-02, 76-xx

Reviewed by: Tariq Aslam
Affiliation: DX-2: Detonation Physics Team Mail Stop P952, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
E-mail address: aslam@lanl.gov

References:

1.: S. Osher and J. Sethian, Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys. 79 (1988), 12-49.

Radial basis functions theory and implementations, by M. D. Buhmann
Cambridge Monographs on Applied and Computational Mathematics, 12, Cambridge University Press, Cambridge, 2003, x+259, $65.00
2000 Mathematics Subject Classification. Primary 41-02, 41A63, 41A30, 41A05, 65-02

Reviewed by: Jeremy Levesley
Affiliation: Department of Mathematics and Computer Science Leicester University, Leicester, LE1 7RH, England
E-mail address: jl1@mcs.le.ac.uk

References:

1.: R. K. Beatson and G. N. Newsam, Fast evaluation of radial basis functions: I, Comput. Math. Appl. 24 (1992), 7-19.
2.: M. D. Buhmann, Radial basis functions, Acta Numerica 9 (2000), 1-37.
3.: N. Dyn, ``Interpolation and approximation by radial and related functions'', in Approximation Theory VI. Vol. I, C. K. Chui, L. L. Schumaker, and J. D. Ward (eds.), Academic Press, Boston, MA, 1989, pp. 211-234.
4.: E. W. Cheney and W. A. Light, A Course in Approximation Theory, Brooks, Pacific Grove, California.
5.: L. Greengard and V. Rokhlin, A fast algorithm for particle simulations, J. Comput. Phys. 73 (1987), 325-348.
6.: M. J. D. Powell, ``The theory of radial basis function approximation in 1990'', in Advances in Numerical Analysis II: Wavelets, Subdivision Algorithms, and Radial Basis Functions, W. A. Light (ed.), Oxford University Press, New York, 1992, pp. 105-210.

Cryptographic applications of analytic number theory, by I. Shparlinski
Progress in Conputer Science and Applied Logic, 22, Birkhäuser Verlag, Basel, 2003, viii+411, $109
2000 Mathematics Subject Classification. Primary 11K45, 11T71, 11Yxx, 68Q17, 94-02

Reviewed by: H. Niederreiter
E-mail address: nied@math.nus.edu.sg

RSA and public-key cryptography, by R. A. Mollin
Discrete Mathematics and Its Applications, Chapman & Hall/CRC, Boca Raton, FL, 2002, xii+291, $79.95
2000 Mathematics Subject Classification. Primary 94A60, 11T71, 11Y16

Reviewed by: Igor Shparlinski
E-mail address: igor@comp.mq.edu.au


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