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REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS
Book reviews do not contain an abstract.
You may download the entire set of reviews from this issue
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Journal:
Math. Comp.
70,
1751-1759
DOI:
10.1090/S0025-5718-01-01400-4
PII:
S 0025-5718(01)01400-4
Posted:
May 22, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
Retrieve reviews in:
PDF DVI PostScript
Nonholonomic motion of rigid mechanical systems from a DAE viewpoint,
by Patrick J. Rabier and Werner C. Rheinboldt
SIAM,
Philadelphia, PA,
2000,
viii+140,
$36.00
2000
Mathematics Subject Classification.
Primary 70F25, 34A09, 65L80
Reviewed by:
Martin
Arnold
Affiliation:
DLR German Aerospace Center, Vehicle System Dynamics Group, D-82230 Wessling, Germany
E-mail address:
martin.arnold@dlr.de
References:
- [1]
- K. E. Brenan, S. L. Campbell, and L. R. Petzold. Numerical solution of initial-value problems in differential-algebraic equations. SIAM, Philadelphia, 2nd edition, 1996. MR 96h:65083
- [2]
- E. Hairer and G. Wanner, Solving ordinary differential equations II. Stiff and differential-algebraic problems. Springer-Verlag, Berlin, Heidelberg, New York, 2nd edition, 1996. MR 97m:65007
- [3]
- E. J. Haug. Computer aided kinematics and dynamics of mechanical systems, volume I. Allyn and Bacon, Boston, MA, 1989.
- [4]
- W. Rulka. SIMPACK--A computer program for simulation of large-motion multibody systems. In W. O. Schiehlen, editor, Multibody Systems Handbook. Springer-Verlag, Berlin, Heidelberg, New York, 1990.
Trust-region methods,
by Andrew R. Conn, Nicholas I. M. Gould and Philippe L. Toint
SIAM,
Philadelphia, PA,
2000,
xix+959,
$119.00
2000
Mathematics Subject Classification.
Primary 90C30, 90C25, 65K05
Reviewed by:
Ya-xiang
Yuan
Affiliation:
School of Mathematics, Chinese Academy of Science, Beijing, P.R. China
Fast reliable algorithms for matrices with structure,
edited by T. Kailath and A. H. Sayed
SIAM,
Philadelphia, PA,
1999,
xvi+342,
$59.5
2000
Mathematics Subject Classification.
Primary 65F05, 65F25, 65F35
Reviewed by:
L
Elsner
Affiliation:
Bielefeld, Germany
Elliptic curves in cryptography,
by Ian Blake, Gadiel Seroussi and Nigel Smart
Cambridge University Press,
New York, NY,
1999,
xv+204,
$39.95
2000
Mathematics Subject Classification.
Primary 94-02, 94A60, 14H52
Reviewed by:
Preda
Mihailescu
Affiliation:
MEC Consulting and Gesamthochschule Paderborn, Germany
E-mail address:
preda@math.upb.de
Reviewed by:
F
Pappalardi
Affiliation:
Dipartimento di Matematica, Università degli studi Roma Tre, Largo S. L. Murialdo 1, I-00146 Roma, Italy
E-mail address:
pappa@mat.uniroma3.it
References:
-
- 1.
- Blake, I. F.; Seroussi, G.; Smart, N. P.: Elliptic curves in cryptography. Reprint of the 1999 original. London Mathematical Society Lecture Note Series, 265. Cambridge University Press, Cambridge, 2000. CMP 2000:15
- 2.
- Cohen, H.; Miyaji, A.; Ono, T.: Efficient elliptic curve exponentiation using mixed coordinates, Asiacrypt 98, Lecture Notes in Comput. Sci., 1514, Springer, Berlin, 1998. CMP 2000:06
- 3.
- Cox, D. A.: Primes of the form
 , Wiley & Sons, 1989. MR 90m:11016 - 4.
- Frey, G.: Applications of arithmetical geometry to cryptographic constructions, Preprint.
- 5.
- Goldwasser, S.; Killian, J.: Almost all primes can be quickly certified, Proc. 18-th Annual ACM Symp. on Theory of Computing (1986), 316-329.
- 6.
- Lenstra, H. W.: Factoring integers with elliptic curves, Ann. of Math., 126 (1987), 649-673. MR 89g:11125
- 7.
- Menezes, Alfred J.: Elliptic curve public key cryptosystems, Kluwer Academic Publishers, 1993. MR 2000d:94023
- 8.
- Miller, V.: Use of elliptic curves in cryptography, Advances in Cryptology, Proceedings of CRYPTO'85, Lecture Notes in Comput. Sci. 218, Springer, Berlin, 1986, pp. 417-426. MR 88b:68040
- 9.
- Satoh, T.: The canonical lift of an ordinary elliptic curve over a finite field and its point counting, J. Ramanujan Math. Soc. 15 (2000), no. 4, 247-270. CMP 2001:05
- 10.
- Schoof, R.: Elliptic curves over finite fields and the computation of square roots mod p, Math. Comp. 44, (1985), 483-494. MR 86e:11122
- 11.
- Silverman, J. H.: The arithmetic of elliptic curves. Corrected reprint of the 1986 original. Graduate Texts in Mathematics, 106. Springer-Verlag, New York, 1999. MR 95m:11054
- 12.
- Smart, N.: A comparison of different finite fields for use in elliptic curve cryptosystems, University of Bristol, Department of Computer Science, June 2000 preprint.
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