References

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E. Anderson, Z. Bai, C. Bischof, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, S. Ostrouchov and D. Sorensen (1992) The LAPACK users' guide, SIAM publications, Philadelphia.

2

V. I. Arnold (1989) Mathematical methods of Classical Mechanics, Springer Verlag.

3

AXIOM is a development of SCRATCHPAD which was originated by IBM in Yorktown Heights. It is now being developed and marketed by the Numerical Algorithms Group Ltd.

4

R. L. Brenner (1984) Simplifying Large Algebraic expressions by computer, in Golden, V. E. editor, Proceedings of the 1984 Macsyma User's Conference, 50-109, General Electric, Schenectady, New York.

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K. A. Broughan, G. Keady, T. D. Robb, M. G. Richardson and M. C. Dewar (1991) Some symbolic computing links to the NAG numeric library, SIGSAM bulletin, 25(3), 28-37.

6

M. C. Dewar (1992) Interfacing Algebraic and Numeric Computation, Ph.D. Thesis, University of Bath, U.K. available as Bath Mathematics and Computer Science Technical Report 92-54.

7

The file of Frequently Asked Questions from the net news group comp.lang.fortran contains information on the status of the GNU FORTRAN project amongst other issues. It can be found at: ftp://rtfm.mit.edu//pub/usenet-by-group/comp.lang.fortran/Fortran_FAQ.

8

B. L. Gates (1987) The GENTRAN User's Manual: Reduce Version. The RAND Corporation.

9

D. Goldberg (1991), What Every Computer Scientist Should Know About Floating Point Arithmetic, ACM. Computing Surveys 23 1, 5-48.

10

S. P. Harbison and G. L. Steele (1991) C: A Reference Manual, Prentice-Hall.

11

V. Khera and H. Greenside (1990) An Interface for Accessing External Numerical Libraries, The Mathematica Journal, Vol.1 Issue 2, 84-88.

12

D. E. Knuth (1989) The TeXbook, Addison Wesley.

13

J. D. Lambert (1991) Numerical Methods for Ordinary Differential Equations : The Initial Value Problem, John Wiley.

14

B. MacGregor (1990) MathCode : A Code Generation Package for Mathematica, Schlumberger Technologies Corp.

15

R. Maeder (1991) Programming in Mathematica, Addison Wesley.

16

R. Maeder (1992) Advanced Programming in Mathematica, Course Notes: the Boston Mathematica Conference.

17

MAPLE is a product of Waterloo Maple Software, 160 Columbia Street West, Waterloo N2L 3L3, Canada.

18

MathLink Reference Guide (1991) Wolfram Research technical report, WRI.

19

nb2tex is available from MathSource (mathsource@wri.com), the electronic archive of Mathematica-related programs, maintained by Wolfram Research Inc.

20

L. P. Meissner and E. I. Organick (1980) FORTRAN 77 Featuring Structured Programming, Addison Wesley.

21

M. P. W. Mutrie, B. W. Char and R. H. Bartels (1987) Expression Optimization Using High-Level Knowledge, Proceedings of EUROCAL '87, Springer-Verlag, 64-70.

22

NAG FORTRAN Library Manual Mark 15 (1992) Numerical Algorithms Group Ltd., Wilkinson House, Jordan Hill Road, Oxford , U.K.

23

NETLIB is a collection of sites containing public domain numerical software, such as LAPACK and ODEPACK. Send an email massage containing the line `send index' for an overview. The current sites are : netlib@research.att.com (AT&TBell Labs, New Jersey, USA), netlib@ornl.gov (Oak Ridge Nat. Lab, Tenn., USA), netlib@unix.hensa.ac.uk (Univ. of Kent, UK), netlib@nac.no (Oslo, Norway), netlib@cs.uow.edu.au (U. of Wollongong, NSW, Australia)

24

T. S. Parker and L. O. Chua (1989) Practical Numerical Algorithms for Chaotic Systems, Appendix A, Springer-Verlag.

25

R. D. Skeel and J. B. Keiper (1993) Elementary Numerical Computing with Mathematica, McGraw-Hill.

26

C. Smith (1993) Notebooks into Books via , The Mathematica Journal, Volume 3 Issue 3, 69-73.

27

M. Sofroniou, Symbolic And Numerical Methods for Hamiltonian Systems, Ph.D. thesis, Loughborough University of Technology, United Kingdom (to appear).

28

M. Sofroniou (1993), Extending The Built-In Format Rules, The Mathematica Journal, Volume 3 Issue 3, 74-80.

29

M. Sofroniou, A Package For Expression Optimization, Journal Of Symbolic Computation (to appear).

30

M. Sofroniou (1993), An Efficient Symbolic-Numeric Environment Using Mathematica, in Proceedings of the Workshop on Symbolic and Numerical Computation, ed. H. Apiola, University of Helsinki Technical Report Series, 69-83.

31

W. Stallings (1990) Computer Organisation and Architecture : Principles of Structure and Function, 2nd edition, MacMillan.

32

J. Stoer and R. Burlisch (1980) Introduction To Numerical Analysis, Springer Verlag.

33

D. Stoutemyer (1993), Crimes and Misdemeanors in the Computer Algebra Trade, Notices of the AMS. 38 7, 778-785.

34

M. C. Wirth (1980), On the Automation of Computational Physics, Ph.D. thesis. Univ. Calif., Davis School of Applied Science, Lawrence Livermore Lab. (also in 1981 SYMSAC).

35

S. Wolfram (1991), Mathematica: A Systems for Doing Mathematics by Computer, Addison Wesley, second edition.

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