Next: About this document
Up: AM 511b Notes
Previous: Resultants
References
- 1
-
American National Standards Institute/Institute of
Electrical and Electronic Engineers: IEEE Standard for
Binary Floating-Point Arithmetic, ANSI/IEEE Std 754-1985,
New York, 1985.
- 2
- Uri M. Ascher, Robert M. M. Mattheij, and Robert D.
Russell, Numerical Solution of Boundary Value Problems for
Ordinary Differential Equations, Prentice-Hall, 1988.
- 3
- E. J. Barbeau, Polynomials, Springer-Verlag
Problem Books in Mathematics, 1989.
- 4
- Carl M. Bender and Steven A. Orszag,
Advanced Mathematical Methods for Scientists and Engineers,
McGraw-Hill, 1978.
- 5
- Wolf-Jürgen Beyn, ``Numerical Methods for Dynamical
Systems'', in Advances in Numerical Analysis, Will Light, ed.,
Oxford Science Publications, 1991, pp. 175--236.
- 6
- William E. Boyce and Richard C. DiPrima,
Elementary Differential Equations and Boundary Value Problems,
2nd. ed., Wiley, 1969, pp. 423--429.
- 7
-
Michael W. Chamberlain, ``Heart to Bell'',
College Mathematics Journal
25, No. 1, January 1994, p. 34.
- 8
- Bruce W. Char, Keith O. Geddes, Gaston H.
Gonnet, Benton L. Leong, Michael B. Monagan, and Stephen M. Watt,
First Leaves: A Tutorial Introduction to Maple V,
Springer-Verlag, 1992.
- 9
-
Bruce W. Char, Keith O. Geddes, Gaston H. Gonnet, Benton
L. Leong, Michael B. Monagan, and Stephen M. Watt, The Maple V
Language Reference Manual, Springer-Verlag, 1991.
- 10
-
Bruce W. Char, Keith O. Geddes, Gaston H. Gonnet, Benton
L. Leong, Michael B. Monagan, and Stephen M. Watt, The Maple V
Library Reference Manual, Springer-Verlag, 1991.
- 11
- Robert M. Corless, ``Continued Fractions and
Chaos'', American Mathematical Monthly 99, vol. 3, 1992, pp.
203--215.
- 12
- Robert M. Corless, Symbolic Recipes, vols 1 and 2,
Springer-Verlag, 1994.
- 13
- Robert M. Corless and Khaled El-Sawy, ``Solution of
banded linear systems in Maple using LU factorization'',
to appear in the proceedings of the 1994 Maple Summer Workshop,
Troy, New York.
- 14
- Robert M. Corless, Gaston H. Gonnet,
D. E. G. Hare, and David J. Jeffrey, ``Lambert's W Function
in Maple'', Maple Technical Newsletter 9, Spring 1993,
pp. 12--22.
- 15
- Robert M. Corless, Gaston H. Gonnet,
D. E. G. Hare, David J. Jeffrey, and Donald E. Knuth, ``The Lambert W
Function'', to appear.
- 16
- Robert M. Corless and D. J. Jeffrey, ``Well, it isn't
quite that simple
'', SIGSAM Bulletin 26, vol. 3, August 1992,
pp. 2--6.
- 17
- Robert M. Corless and Michael B. Monagan,
``Simplification and the assume facility'', Maple Technical
Newsletter, to appear.
- 18
- W. H. Enright, 1989,
``A New Error-Control for Initial Value
Solvers'', Appl. Math. Comput. 31 pp. 288-301.
- 19
-
Temple H. Fay, ``The Butterfly Curve'',
Amer. Math. Monthly 96, No. 5, May 1989,
pp. 442--443.
- 20
- Walter Gander and Jirí Hrebícek,
Solving Problems in Scientific Computing Using Maple and
MATLAB, Springer-Verlag, 1993.
- 21
- Keith O. Geddes, Stephen R. Czapor, and George
Labahn, Algorithms for
Computer Algebra, Kluwer, 1992.
- 22
- G. Golub and C. van Loan, Matrix Computations,
Johns Hopkins, 1983.
- 23
- G. H. Gonnet and D. Gruntz, ``Limit Computation in
Computer Algebra'', Technical Report 187, Department for Computer
Science, ETH Zürich, 1992.
- 24
- D. Gruntz, ``A New Algorithm for Computing
Asymptotic Series'', Proc. ISSAC '93, Kiev, Ukraine, pp. 239--244.
- 25
- Xavier Gourdon and Bruno Salvy, ``Computing one million
digits of
'', Maple Technical Newsletter 10, Fall
1993, pp. 66--71.
- 26
- E. Hairer, S. P. Norsett, and G. Wanner,
Solving Ordinary Differential Equations I, Springer series in
computational mathematics 8, Springer-Verlag, Berlin, 1987.
- 27
- André Heck, Introduction to Maple,
Springer-Verlag, 1993.
- 28
- Peter Henrici, Applied and Computational
Complex Analysis vol I, Wiley-Interscience, 1977.
- 29
- Peter Henrici, Applied and Computational
Complex Analysis vol II, Wiley-Interscience, 1977.
- 30
-
T. E. Hull, W. H. Enright, B. M. Fellen, and A. E.
Sedgwick, ``Comparing numerical methods for ordinary differential
equations", SIAM J. Numer. Anal., 9, 1972, pp. 603--637.
- 31
- D. J. Jeffrey, ``The Importance of Being
Continuous'', to appear in Math. Magazine.
- 32
- Donald E. Knuth and Boris Pittel, ``A Recurrence
Related to Trees'', Proc. Amer. Math. Soc., 105, no. 2, Feb.
1989, pp. 335--349.
- 33
- John McCleary, ``How Not to Prove Fermat's Last
Theorem'', American Mathematical Monthly 96, No. 5, May 1989,
pp. 410--420.
- 34
- M. B. Monagan, Programming in Maple,
available by anonymous ftp to the Share Library.
- 35
- Michael B. Monagan and Walter M. Neuenschwander,
``GRADIENT: Algorithmic differentiation in Maple'',
Proc. ISSAC '93, Kiev, Ukraine, pp. 68--76.
- 36
- Alexander Morgan, Solving Polynomial Systems
Using Continuation for Engineering and Scientific Problems,
Prentice-Hall, 1987.
- 37
- Ivan Niven, Maxima and Minima without Calculus,
Dolciani Mathematical Expositions No. 6, Mathematical Association of
America, 1981.
- 38
- T. S. Parker and L. O. Chua, Practical Numerical Algorithms for Chaotic Systems,
Springer-Verlag, 1989.
- 39
- Darren Redfern, The Maple Handbook,
Springer-Verlag, 1993.
- 40
- Theodore J. Rivlin, Chebyshev Polynomials,
2nd. ed., Wiley-Interscience, 1990.
- 41
- Bruno Salvy, ``Efficient Programming in Maple:
A Case Study'', SIGSAM Bulletin 27, vol. 2, April 1993 pp.
1--12.
- 42
- Helen Skala, ``Contour Maps---A Visual Experience'',
The College Mathematics Journal 22, No. 3, May 1991,
pp. 241--244.
- 43
- Ernst Joachim Weniger, Nonlinear Sequence
Transformations for the acceleration of convergence and the
summation of divergent series, Computer Physics Reports 10,
No. 5, North-Holland, December 1989.
- 44
- J. H. Wilkinson, ``The Perfidious Polynomial'',
in M.A.A. Studies in Numerical Analysis, Gene Golub, ed. 1984,
pp. 1--28.
- 45
- E. M. Wright, ``The Linear Difference-Differential
Equation with Constant Coefficients'', Proc. Royal Soc. Edinburgh,
LXII A, 1947, pp. 387--393.
Robert Corless
Wed Feb 28 18:25:56 EST 1996