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Research Output

2007

Testing elementary function identities using CAD

Beaumont, J. C., Bradford, R. J., Davenport, J. H. & Phisanbut, N., 1 Dec 2007, In : Applicable Algebra in Engineering Communication and Computing. 18, 6, p. 513-543 31 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

The complexity of quantifier elimination and cylindrical algebraic decomposition

Brown, C. W. & Davenport, J. H., 2007, ISSAC '07 Proceedings of the 2007 international symposium on Symbolic and algebraic computation . New York: Association for Computing Machinery, p. 54-60 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

63 Citations (Scopus)

What might "Understand a Function" mean?

Davenport, J., 2007, Towards Mechanized Mathematical Assistants. Kauers, M., Kerber, M., Miner, R. & Windsteiger, W. (eds.). Springer, Vol. 4573. p. 55-65 11 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)
2005

Adherence is Better than Adjacency: Computing the Riemann Index using CAD

Beaumont, J., Bradford, R., Davenport, J. H. & Phisanbut, N., Jul 2005, p. 37--44. 8 p.

Research output: Contribution to conferencePaper

5 Citations (Scopus)
2004

A poly-algorithmic approach to simplifying elementary functions

Beaumont, J. C., Bradford, R. J., Davenport, J. H. & Phisanbut, N., 2004.

Research output: Contribution to conferencePaper

5 Citations (Scopus)

Copyright issues for MKM

Adams, A. A. & Davenport, J. H., 2004, Mathematical Knowledge Management: 3rd International Conference, MKM 2004: Proceedings. Berlin, Germany: Springer, p. 1-16 16 p. (Lecture Notes in Computer Science; vol. 3119).

Research output: Chapter in Book/Report/Conference proceedingChapter

Mathematics on the (semantic) NET

Caprotti, O., Davenport, J. H., Dewar, M. & Padget, J., 2004, Semantic Web: Research and Applications. Vol. 3053. p. 213-224 12 p. (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Citations (Scopus)
2003

Better simplification of elementary functions through power series

Beaumont, J., Bradford, R. & Davenport, J. H., 2003, ISSAC '03 Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2003 . New York, U. S. A.: Association for Computing Machinery, p. 30-36 7 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Citations (Scopus)

Mathematical Knowledge Management: 2nd International Conference, MKM 2003, Bertorino, Italy: Proceedings

Asperti, A. (ed.), Buchberger, B. (ed.) & Davenport, J. H. (ed.), 2003, Berlin: Springer. (Lecture Notes in Computer Science; vol. 2594)

Research output: Book/ReportBook

MKM from book to computer: A case study

Davenport, J. H., 2003, Mathematical Knowledge Management, Proceedings. Vol. 2594. p. 17-29 13 p. (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Citations (Scopus)

Resolving large prime(s) variants for discrete logarithm computation

Holt, A. J. & Davenport, J. H., 2003, Cryptography and Coding, Proceedings. Vol. 2898. p. 207-222 16 p. (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingChapter

The Geometry of C^n is Important for the Algebra of Elementary Function

Davenport, J. H., 2003, Algebra, Geometry and Software Systems. Joswig, M. & Takayama, N. (eds.). Berlin, Germany: Springer, p. 207-225 19 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

2002

Equality in computer algebra and beyond

Davenport, J. H., 2002, In : Journal of Symbolic Computation. 34, 4, p. 259-270 12 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Reasoning about the elementary functions of complex analysis

Bradford, R., Corless, R. M., Davenport, J. H., Jeffrey, D. J. & Watt, S. M., 1 Nov 2002, In : Annals of Mathematics and Artificial Intelligence. 36, 3, p. 303-318 16 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

Table Errata --- Abramowitz & Stegun

Davenport, J. H., 2002, In : Mathematics of Computation (MCOM). p. 1801 1 p.

Research output: Contribution to journalArticle

Towards better simplification of elementary functions

Bradford, R. & Davenport, J. H., 2002.

Research output: Contribution to conferencePaper

19 Citations (Scopus)
2001

A Generic Root Operation for Exact Real Arithmetic

Hur, N., Davenport, J. H., Blanck, J. (ed.), Brattka, V. (ed.) & Hertling, P. (ed.), 2001, p. 82--87. 6 p.

Research output: Contribution to conferencePaper

Lattice Attacks on RSA-Encrypted IP and TCP

Crouch, P. A., Davenport, J. H. & Honary, B. (ed.), Dec 2001, p. 329--338. 10 p.

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Reasoning about the elementary functions of complex analysis

Corless, R. M., Davenport, J. H., Jeffrey, D. J., Litt, G. & Watt, S. M., 2001, Artificial Intelligence and Symbolic Computation: Revised Papers. Campbell, J. A. & Roanes-Lozano, E. (eds.). Berlin, Germany: Springer, p. 115-126 12 p. (Lecture Notes in Artificial Intelligence; vol. 1930).

Research output: Chapter in Book/Report/Conference proceedingChapter

8 Citations (Scopus)
2000

"According to Abramowitz and Stegun", or arcoth needn't be uncouth

Corless, R. M., Davenport, J. H., Jeffrey, D. J. & Watt, S. M., 2000, In : SIGSAM Bulletin. 34, p. 58-65 8 p.

Research output: Contribution to journalArticle

1993

An overview of computer algebra

Cohen, A. M., Davenport, J. H. & Heck, A. J. P., 1993, Computer Algebra in Industry: Problem Solving in Practice: Proceedings of the 1991 SCAFI Seminar at CWI, Amsterdam. Cohen, A. M. (ed.). Chichester, UK: John Wiley, p. 1-52 52 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

1991

Computer algebra approaches to enzyme kinetics

Bennett, J. P., Davenport, J. H., Dewar, M. C., Fisher, D. L., Grinfeld, M. & Sauro, H., 1991, Algebraic Computing in Control: Proceedings of the First European Conference Paris, March 13–15, 1991. Jacob, G. & Lamnabhi-Lagarrigue, F. (eds.). Berlin, Germany: Springer, p. 23-30 8 p. (Lecture Notes in Control and Information Sciences; vol. 165).

Research output: Chapter in Book/Report/Conference proceedingChapter

Polynomials whose powers are sparse

Coppersmith, D. & Davenport, J. H., 1991, In : Acta Arithmetica. 58, 1, p. 79-87 9 p.

Research output: Contribution to journalArticle

Scratchpad's view of algebra II: A categorical view of factorization

Davenport, J. H., Gianni, P. & Trager, B. M., 1991, ISSAC '91 Proceedings of the 1991 international symposium on Symbolic and algebraic computation. New York: Association for Computing Machinery, p. 32-38

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Open Access
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74 Downloads (Pure)
1990

Scratchpad's view of algebra I: Basic commutative algebra

Davenport, J. H. & Trager, B. M., 1990, Design and Implementation of Symbolic Computation Systems: International Symposium DISCO '90 Capri, Italy, April 10–12, 1990 Proceedings. Berlin: Springer, p. 40-54 (Lecture Notes in Computer Science; vol. 429/1990).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
119 Downloads (Pure)
1989

A geometric algebra system

Bowyer, A., Davenport, J. H., Milne, P. S., Padget, J. A. & Wallis, A. F., 1989, Geometric Reasoning. Woodwark, J. R. (ed.). Oxford, UK: Clarendon Press, p. 1-30 30 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Applications of computer algebra in solid modelling

Bowyer, A., Davenport, J. H., Milne, P. S., Padget, J. & Wallis, A. F., 1989, Eurocal '87: European Conference on Computer Algebra Leipzig, GDR, June 2–5, 1987: Proceedings. Berlin: Springer, p. 244-245 2 p. (Lecture Notes in Computer Science; vol. 378).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Effective tests for cyclotomic polynomials

Bradford, R. J. & Davenport, J. H., 1989, Symbolic and Algebraic Computation: International Symposium ISSAC '88, Rome, Italy, July 4-8, 1988: Proceedings. Gianni, P. (ed.). Berlin, Germany: Springer, p. 244-251 8 p. (Lecture Notes in Computer Science; vol. 358).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

The use of symbolic computation in geometric modelling

Wallis, A. F., Bowyer, A., Davenport, J. H., Milne, P. S. & Padget, J. A., 1 Sep 1989, Proceedings of the 3rd IMA Conference on the Mathematics of Surfaces (IMA),1988. Handscomb, D. C. (ed.). New York, U. S. A.: Clarendon Press, p. 199-206 8 p. (Mathematics of Surfaces).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1988

A remark on a paper by Wang: another surprising property of 42

Abbott, J. A. & Davenport, J., Oct 1988, In : Mathematics of Computation. 51, 184, p. 837-839

Research output: Contribution to journalArticle

Factorisation of polynomials: old ideas and recent results

Abbott, J. A., Bradford, R. J. & Davenport, J., 1988, Proceedings of the International Symposium on Trends in Computer Algebra . Rainer, J. (ed.). London, UK: Springer, p. 81-91

Research output: Chapter in Book/Report/Conference proceedingChapter

Solution of Some Equations in Biochemistry

Bennett, J. P., Davenport, J. H. & Sauro, H. M., 1988, Bath, UK: University of Bath.

Research output: Book/ReportOther report

1987

Polynomial factorization

Abbott, J. A. & Davenport, J., Jun 1987, EUROCAL '87: Proceedings of the European Conference on Computer Algebra. Davenport, J. (ed.). New York, USA: Springer, p. 391-402 (Lecture Notes in Computer Science; vol. 378).

Research output: Chapter in Book/Report/Conference proceedingChapter

1986

On numbers and polynomials

Davenport, J. & Padget, J., 1986, Computers and Computing: Proceedings of the International Conference, Future Trends of Computing dedicated to N. Gastinel, grenoble, 2-6 December 1985. Chenin, P., Crescenzo, C. D. & Robert, F. (eds.). Chichester, U. K.: Wiley Masson, p. 49-53 5 p. (Études et recherches en informatique).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

The Bath algebraic number package

Abbott, J. A., Bradford, R. J. & Davenport, J., 1986, SYMSAC 86: Symposium on Symbolic and Algebraic Computation: papers. Char, B. W. (ed.). New York, USA: Association for Computing Machinery, p. 250-253

Research output: Chapter in Book/Report/Conference proceedingChapter

1985

An application of factoring

Coppersmith, D. & Davenport, J. H., 1985, In : Journal of Symbolic Computation. 1, p. 241-243 3 p.

Research output: Contribution to journalArticle

A remark on factorisation

Abbott, J. A., Bradford, R. J. & Davenport, J., May 1985, In : SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation). 19, 2, p. 31-33

Research output: Contribution to journalArticle

HEUGCD- How elementary upperbounds generate cheaper data

Davenport, J. & Padget, J., 1 Apr 1985, EUROCAL '85: European Conference on Computer Algebra Linz, Austria, April 1–3 1985 Proceedings Vol. 2: Research Contributions. Caviness, B. F. (ed.). Berlin, Germany: Springer Verlag, p. 18-28 11 p. (Lecture Notes in Computer Science; vol. 204).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1983

Integration - what do we want from the theory?

Davenport, J. H., 1983, Computer Algebra: EUROCAL '83, European Computer Algebra Conference, London, England, March 28-30, 1983: Proceedings. Hultzen, J. A. V. (ed.). Berlin, Germany: Springer, p. 2-11 10 p. (Lecture Notes in Computer Science; vol. 162).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1982

The Parallel Risch Algorithm (I)

Davenport, J. H., 1982, Computer algebra: EUROCAM '82, European Computer Algebra Conference, Marseille, France 5-7 April 1982. Calmet, J. (ed.). Berlin, Germany: Springer, p. 144-157 14 p. (Lecture Notes in Computer Science; vol. 144).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1981

Effective mathematics: the computer algebra viewpoint

Davenport, J. H., 1981, Constructive Mathematics: Proceedings of the New Mexico State University Conference Held at Las Cruces, New Mexico, August 11-15, 1980. Richman, F. (ed.). Berlin, Germany: Springer, p. 31-43 13 p. (Springer Lecture Notes in Mathematics; vol. 873).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

On the Integration of Algebraic Functions

Davenport, J. H., 1981, Berlin, Germany: Springer. (Lecture Notes in Computer Science; vol. 102)

Research output: Book/ReportBook

1979

Algorithms for the integration of algebraic functions

Davenport, J. H., 1979, Symbolic and Algebraic Computation: Eurosam '79, An International Symposium on Symbolic and Algebraic Manipulation, Marseille, France, June 1979. Ng, E. W. (ed.). Berlin, Germany: Springer, p. 415-425 11 p. (Lecture Notes in Computer Science; vol. 72).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Anatomy of an integral

Davenport, J. H., 1979, In : SIGSAM Bulletin. 13, 4, p. 16-18 3 p.

Research output: Contribution to journalArticle

The computerisation of algebraic geometry

Davenport, J. H., 1979, Symbolic and Algebraic Computation : Eurosam '79, An International Symposium on Symbolic and Algebraic Manipulation, Marseille, France, June 1979. Ng, E. W. (ed.). Berlin, Germany: Springer, p. 119-133 15 p. (Lecture Notes in Computer Science; vol. 72).

Research output: Chapter in Book/Report/Conference proceedingConference contribution