## Curriculum Vitae

**12.12.2007**

**John Christopher TURNER**

Department of Mathematics,

University of Waikato,

Private Bag,

Hamilton 3200,

New Zealand.

(private: 6 Hardley Street, Hamilton

email: [email protected])

Date of Birth: 1st October, 1928.

Marital Status: Married 37 years (wife Barbara Rosemary, nee Payne,

born 18 April 1927, died 27 April 1997);

five children: Neil and Jeremy Orton (step-sons),

Roseanna Jane, Louise Margaret, Harry John Turner;

ten grandchildren.

Hobbies: Music (plays piano, ‘cello, guitar, treble recorder and mandolin)

‘Cello in Waikato Symphony Orchestra (six years),�

jazz piano in Reeds Keys Duo; treble recorder

in Lyric Players Orchestra (over 500 concerts)

Solo entertainer with voice and piano.

Snooker/Pool; Bridge; Chess.

Higher Education:

(i) H.N.D. at Doncaster College of Technology, England.

Gained the Higher National Diploma in Mechanical Engineering (1951).

Qualified for G.M.I.M.E. Awarded a Technical State Scholarship.

(ii) B.Sc. and M.Sc. at University of Leeds, England.

Gained the B.Sc.(Special Honours in Mathematics) in 1954; and

M.Sc., by research thesis on `Reliability of Networks of Components':

awarded with distinction , in 1966.

(iii) D.Phil. at University of Waikato, Hamilton, New Zealand.

Gained the D.Phil. degree in 1984. Thesis on `Studies of Knot Graphs.’

Mathematics Career:

1954-56 Scientific Officer, Armaments Research Development

Establishment, Mathematics Division, Kent, England.

1956-60 Tutor in Mathematics Physics, Mombasa Institute of

Muslim Education, Mombasa, Kenya.

1960-62 Lecturer in Mathematics, Nottingham College of

Technology, England

1962-65 Lecturer in Applied Mathematics, University of Sierra

Leone, West Africa

1965-67 Senior Lecturer in Statistics, Huddersfield Polytechnic,

England.

1967-70 Principal Lecturer in Statistics Operations Research,

Leeds Polytechnic, England.

1970-86 Reader in Mathematics, University of Waikato, New

Zealand.

1986-90 Foundation Dean, School of Computing and

Mathematical Sciences.

1986-94 Associate Professor in Mathematics, retired in

February 1994.

Elected Honorary Life Member of NZ Mathematical

Society, 1993.

Elected Honorary Fellow, University of Waikato, 1994.

Positions of Responsibility:

(i) Deputy Head of the Department of Mathematics & Computer

Science, Leeds Polytechnic, 1967-70: responsible for organising

degree and diploma courses at all levels, with a staff of thirty.

(ii) Responsible for direction of teaching and research in Statistics

and Operations Research in the Department of Mathematics,

University of Waikato, 1970-1986; the Department has 19 staff

members, offering pure mathematics, mathematical physics, and

statistics and O.R., from under-graduate to Ph.D. levels.

(iii) Acting Director of Computing Services, University of

Waikato, 1971-73.

(iv) Chief Examiner for the Bursary and Scholarship Examinations in

Applied Mathematics (final High School examinations, set by the

N.Z. Department of Education for the University Grants Committee)

1981 and 1982. This involved the setting of papers and

organisation of marking teams, to deal with over 5000 scripts per

year from schools throughout the country.

(v) Acting Head of Mathematics Department, University of Waikato,

seven months within 1983/84.

(vi) Dean, School of Computing & Mathematical Sciences,

June 1986 – January 1990. Foundation Dean, establishing

the School’s organisation, and the BCMS and other degrees

which it offers.

(vii) Reviewer (ten years) for American Mathematics Reviews.

Membership of Professional Societies:

Fellow of the Royal Statistical Society, London, 1956 to 1992.

Member of the N.Z. Mathematical Society, since 1971.

Member of the N.Z. Statistical Society, 1971 to 1985.

Member of the N.Z. Operations Research Society, 1971 to 1978

Member of the N.Z. Computer Society, 1971 to 1977.

Member of the N.Z. Association for Research in Education,

1984 to 1990.

Member of the Waikato Mathematical Association, 1971 to 1993.

Sustaining Member of The Fibonacci Association, 1986 to present.

N.Z. member of Overseas Committee, The Fibonacci Association.

Society Officerships:

(i) New Zealand Mathematical Society:

National Committee Member, 1979.

President, 1980.

Vice-President, 1981.

(ii) New Zealand Computer Society:

National Council Member, 1972/73.

(iii) Waikato and Bay of Plenty Computer Society:

Founding member, 1971.

Chairman, 1971/2/3.

(iv) New Zealand Statistical Society:

Area Convenor, Waikato and Bay of Plenty, 1973-79.

(v) Waikato Mathematical Association:

Committee Member, 1980-1985.

(vi) New Zealand Federation of Classical Guitar Societies:

Founding Member (Proposer), 1977.

President, 1977/8/9.

Treasurer, 1983/4/5.

(vii) Hamilton Classical Guitar Society:

Committee Member, 1971-present.

President, 1973-75; 1985-1987.

(viii) University of Waikato Bridge Club:

President, 1976-1980.

(ix) Hamilton Hang-Gliding Society:

Founder, President, 1976/77.

(x) Founder member, Waikato Branch of the

University of the Third Age, Committee

Member, since 1995.

President 1999/2000.

PUBLICATIONS

Books:

1. J.C. Turner, `Modern Applied Mathematics – Probability, Statistics, Operational

Research.'(1970), 502 pp., E.U.P. (later Hodder Stoughton).

Reprinted many times and still in print. Published in Spanish

as Matematica Moderna Aplicada by Alianza Universidad, Madrid

(1974), and still in print with them. Chosen by the English

Language Book Society in 1978 for distributing in a low-priced

edition to third-world countries.

2. J.C. Turner, `Probability and Operational Research.’ (1971), 350 pp.; under

contract with E.U.P., 250 pp. written, but finally unpublished.

3. J.C. Turner, `Forty Steps to Fortran.’ (1972), 155 pp.; issued in typed form by the

Department of Mathematics, for teaching Fortran to large

Mathematical Techniques classes. Successfully used for four

years.

4. `First Steps in Numerical Analysis.’ (1978), 202 pp. (with Hosking and

Joyce), Hodder Stoughton. Reprinted many times, and in

print until 2000.

Revised Second Edition (with Stephen Joe) published in 1996.

5. `STATUS – a Statistical Computing Language.’ (1980), 173 pp., New

Zealand Mathematical Society. Published annually until 1986.

6. `Probability and Statistics.’ (1980), 135 pp., (with Cornwell), in the

Mathematics Syllabus Series, for Bursary Applied Mathematics;

New Zealand Mathematical Society. Reprinted each year, 1500-

2000 copies, until 1985.

7. J.C. Turner, `Mathematics for Statistics and Operations Research.’ (1984), 150 pp., printed by offset, as a Notebook for course 23.207,

University of Waikato, N.Z.

8. A.G. Schaake, J.C. Turner and D.A. Sedgwick, `Braiding – Regular Knots.’

Book, pub. by Department of Mathematics Statistics, University of Waikato, N.Z. August 1988, pp. 1-117.

9. A.G. Schaake and J.C. Turner, `A New Chapter for Pythagorean

Triples.’ Book, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., Oct. 1989: 155 pp.

10. A.G. Schaake, J.C. Turner and D.A. Sedgwick,

`Braiding – Regular Fiador Knots.’

Book, pub. Department of Mathematics, U. Waikato, Sep 1990: 159pp.

11. A.G. Schaake and J.C. Turner,

`Braiding – Standard Herringbone Pineapple Knots.’

Book, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., May 1991: 202 pp.

12. A.G. Schaake, T. Hall and J.C. Turner,

`Braiding – Standard Herringbone Knots.’

Book, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., May 1992: 208 pp.

13. J.C. Turner and P. van de Griend (authors and eds.),

`History and Science of Knots.’

Book, pub. World Scientific Pub. Inc., N.Y., Singapore,

Jun. 1996: 480 pp.

[Part written, edited, and completely computer type-set by J. C. Turner.]

14. K. Atanassov, V. Atanassova, A.G. Shannon, and J.C. Turner,

`New Visual Perspectives on Fibonacci Numbers.’

World Scientific Pub. Co., Singapore, 2002: 313 pp.

[Three-quarters written, edited and fully computer type-set by J. C. Turner.]

In preparation:

A Mathematics Anthology – a collection of quotations and other

short items relating to mathematics. Over 1400 items have been

collected so far, and all are stored in computer form, ready

for sorting, merging and cross-referencing. Eventually some

2500 items will be included. A publisher’s contract is being

sought. [Project resurrected, Apl. 2003]

Pamphlets: (by A.G. Schaake (main), J.C. Turner et al.)

1. A.G. Schaake and J.C. Turner, `Introducing Grid-diagrams in Braiding.’

Pamphlet, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., 1991: 32 pp.

2. A.G. Schaake and J.C. Turner, `Edge Lacing-the Double Cordovan Stitch.’

Pamphlet, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., 1991: 23 pp.

3. A.G. Schaake and J.C. Turner, `Braiding Application-Horse Halter.’

Pamphlet, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., 1991: 24 pp.

4. A.G. Schaake and J.C. Turner, `The Regular Knot Tree and Enlargement Processes.’

Pamphlet, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., 1991: 38 pp.

4+ Supplement to No. 4, {\it Casa-Coded Regular Knots.}, 1995: 31 pp.

5. A.G. Schaake and J.C. Turner, `An Introduction to Flat Braids.’

Pamphlet, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., 1991: 36 pp.

6. A.G. Schaake and J.C. Turner,

`An Introduction to Evolution Processes (Part I).’

Pamphlet, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., 1992: 82 pp.

6+ Supplement to No. 6, {\it Headhunter-Fan Knots.}, 1994: 18 pp.

7. A.G. Schaake and J.C. Turner,

`The Braiding of Column-Coded Regular Knots.’

Pamphlet, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., 1992: 37 pp.

9. A.G. Schaake and J.C. Turner,

`The Braiding of Row-Coded Regular Knots.’

Pamphlet, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., 1993: 43 pp.

12. A.G. Schaake and J.C. Turner, `The Braiding of Wheelknots.’

Pamphlet, pub. Department of Mathematics Statistics,

University of Waikato, Hamilton, N.Z., 1994: 110 pp.

12+ Supplement to No. 12, {\it Wheelknots.}, 1995: 49 pp.

Research Theses:

1. `Reliability of Networks of Components.’ (1966), 130 pp., awarded

M.Sc. with distinction.

2. `Study of Knot-Graphs,'(1984), 200 pp., awarded D.Phil.

Journal Papers, Articles, etc.:

1. `Reliability and Operability of Systems of Components in Series and

in Parallel’ first published as a research report for the War

Office, by the Armanents Research Development Establishment,

Kent. Later selected for inclusion in the first volume of the

Journal `Electronics Reliability and Microminiaturization,’

Pergamon Press, (1962), pp. 21-26.

2. `A Statistical Study of the Fish Population of Sierra Leone, 1960- 1965.’

(1966), J. West African Science Association, Vol. 11, pp.150-166.

3. `On a Network Inequality.’ (1968), (with Conway), SIAM Review, 10,

107-8. This paper treated an attractive inequality arising out

of studies of reliability networks; it gave a proof using

network properties, but invited a direct analytic proof.

Submitted proofs and further discussion were published in Siam

Review, Vol. 11, pp. 402-406, (1969). In 1970, the inequality

was listed in two places (pp. 280 and 385) in the book:

`Analytic Inequalities.’ by D.S. Mitrinovic (Springer-Verlag).

In 1980, the inequality and the relationships between

probability and analytic methods which it had revealed, were

selected for inclusion in a paper on educating graduate level

Statistics students, by I.R. Savage: `International Statistical

Review.’ (1980), pp. 103-116.

4. `Variation in Hibolithes Arkelli Arkelli-2.’ (1975), (with

Challinor), New Zealand Journal of Geology and Geophysics, Vol.

18, No. 6, pp. 837-848.

5. `A Classification of Statistics Courses (a framework for studying

statistical education).’ (1976), Int. J. Math. Ed. Sci.

Technol., Vol. 7, No. 4, pp. 409-440.

6. `A Special Purpose Language (STATUS) for Teaching Statistics: some of

its design principles, and values as an education tool.’ (1979),

pp. 915-920, DEC Users Society, Vol. 5, No. 2.

7. `A Study of Knot-Graphs.’ (D.Phil. abstract), Bulletin of the

Australian Mathematical Society, Vol. 31, No. 2, pp. 317-318.

8. J.C. Turner, `On Caterpillars, Trees, and Stochastic Processes.’

The American Mathematical Monthly, Vol.93, No.3, 1986, pp. 205-213.

9. J.C. Turner, `On a Sequence of Trees with Fibonacci Weights.’

Mathematical Spectrum, Vol.18, No.1, Mar. 1986.

10. J.C. Turner, `On a Class of Knots with Fibonacci Invariant Numbers.’

The Fibonacci Quarterly, Vol.24, No.1, 1986, pp. 61-66.

11. J.C. Turner, `On Doodles and 4-Regular Graphs.’ Mathematical

Spectrum, Vol.19, No.1, 1986, pp. 14-18.

12. J.C. Turner, `Fibonacci-T Arithmetic Triangles.’ Fibonacci

Quarterly, Vol. 25, No. 2, 1987 (problem pages, 190/191).

13. J.C. Turner (with A. Zulauf), `Fibonacci Sequences of Sets and Their

Duals.’ Fibonacci Quarterly, Vol. 26, No. 2, 1988; pp. 152-156.

14. J.C. Turner, `On Folyominoes and Feudominoes.’ Fibonacci Quarterly,

Vol. 26, No. 3, 1988; pp. 205-218.

15. J.C. Turner, `Fibonacci Word Patterns and Binary Sequences.’

Fibonacci Quarterly, Vol. 26, No. 3, 1988; pp. 233-246.

16. J.C. Turner, `Convolution Trees and Pascal-T Triangles.’ Fibonacci

Quarterly, Vol. 26, No. 4, 1988; pp. 354-365.

17. Problem: `On a missing set.’ J.C. Turner, E.3266: Amer. Math. Monthly

95, No. 3, May 1988: p.456.

18. J.C. Turner,`The Alpha and the Omega of the Wythoff Pairs.’ The

Fibonacci Quarterly, Vol. 27, No. 1, Feb. 1989: pp.76-86.

19. J.C. Turner,`Problem on multisets and Euler’s phi-function.’

(Advanced Problems Section) H-429. The Fibonacci Quarterly,

Vol. 27, No. 1, Feb. 1989: p.92.

20. `On kth Order Colored Convolution Trees and a Generalized

Zeckendorf Integer Representation Theorem.’ J.C. Turner, and

A.G. Shannon, The Fibonacci Quarterly, Vol. 27, Nov. 1989:

pp.439-447.

21. `Hausdorff Dimension and Perron-Fr\”{o}benius Theory.’ V. Drobot and

J.C. Turner, Illinois Journal of Mathematics, Vol.33, No.1,

Spring 1989: pp.1-9.

22. `Problem on an infinite sum of reciprocals of Fibonacci

expressions.’ J.C. Turner, B-637. The Fibonacci Quarterly, Vol.

27, No. 1, Feb. 1989: p.87.

23. `Note on a Family of Fibonacci-like Sequences.’ J.C. Turner, The

Fibonacci Quarterly, Vol. 27, No. 2, Feb. 1989: pp. 76-86.

24. Turner, J. C. `Three number trees – their growth rules and related number properties.

International Conference on Fibonacci Numbers and Their Applications,

Jul. 1988 (Proceedings, Vol. 3, Kluwer A.P. 1990, 335-350.)

25. `Generating the Pythagorean Triples via simple continued fractions.’

Schaake, A. G. and Turner, J. C.,{International Conference on

Fibonacci Numbers and Their Applications, Jul. 1990

(Proceedings, Vol. 4, Kluwer A.P. 1991, 247-256.)

26. `On the Moebius Knot Tree and Euclid’s Algorithm.’

Schaake, A. G. and Turner, J. C., International Conference on

Fibonacci Numbers and Their Applications, Jul. 1990

(Proceedings, Vol. 4, Kluwer A.P. 1991, 257-270.)

27. `A generalised tableau associated with colored convolution trees.’

Shannon A. G., Turner J. C. and Atanassov K. T.

Discrete Maths., 92}, (1991): 329-340.

28. `Colored Convolution Trees.’

A.G. Shannon, J.C. Turner, K.T. Atanassov; in B.D.McKay, J.R. Seberry

and S.A. Vanstone (eds.), Selected Papers in Combinatorics,

in honour of R.G. Stanton; North Holland, Amsterdam, 1992, 329-340.

29. `On an inhomogeneous, non-linear, second-order recurrence relation.’

Turner J. C. and Shannon A. G., International Journal of Mathematical

Education in Science and Technology, 24, 2, 1993, 324-327.

30. `The Elements of Enteger Geometry.’

Turner, J. C. and Schaake, A. G., {\it International Conference on}

Fibonacci Numbers and Their Applications,

July, 1992 (Proceedings, Vol. 5, Kluwer A.P. 1993, 569-583.)

31. `Totient Functions on the Euler Number Tree.’

Turner, J. C., Garcia, H. and Schaake, A. G., {\it International Conference}

{\it on Fibonacci Numbers and Their Applications,}

July, 1992 (Proceedings, Vol. 5, Kluwer A.P. 1993, 585-600.)

32. `The generation of trees from coupled third-order recurrence relations.’

Atanassov K. T., Shannon A. G. and Turner J. C.

In S. Shtrakov Iv Mirchov (eds), {\it Discrete Mathematics and Applications.}

Blagoevgrad: Neofit Rilski University, 1995, pp. 46-56.

33. `On a Model of the Modular Group.’

Turner, J. C. and Schaake, A. G., {\it International Conference}

{\it on Fibonacci Numbers and Their Applications and Their Applications,}

July, 1994 (Proceedings, Vol. 6, Kluwer A.P. 1996, 487-504.)

34. ‘Remark on Fibonacci Sequences and Fuzzy Sets.’

Atanassov, K.T., Shannon A.G., and Turner J.C.

Comptes rendus de l’Acad\'{e}mie bulgare des Sciences, Tome 50, No. 2, 1997.

35. `Introduction to a Fibonacci Vector Geometry.’

Turner J.C. and Shannon A.G.,

International Conference on Fibonacci Numbers and Their Applications,

15-19 July, 1996 (Proceedings, Vol. 7, published by Kluwer AP, Spring 1998).

36. `On Vector Sequence Recurrence Equations in Fibonacci Vector Geometry.’

Turner J.C.,

International Conference on Fibonacci Numbers and Their Applications,

June/July, 1998 (Proceedings, Vol. 8, pub.by Kluwer AP, 1999: 353-368.)

37. `On Triangles and Squares Marked with Goldpoints – Studies of Golden Tiles.’

Atassanova, V. and Turner J.C.,

International Conference on Fibonacci Numbers and Their Applications,

June/July, 1998 (Proceedings, Vol. 8, pub.by Kluwer AP, 1999: 11-26.)

(A diagram from this – the Fibonacci Star – appears

on the front cover of the Proceedings.)

38. `The Fibonacci Track Form, with Applications in Fibonacci Vector Geometry.’

Turner, J.C., in dedicatory volume (70th birthday) to J.C. Turner,

Notes on Number Theory and Discrete Mathematics, Bulgarian

Academy of Sciences. Vol. 4, No. 4 1998: 136-147

39. `On Fibonacci Sequences, Geometry, and the m-Squares Equation.’

Turner J.C. and Shannon A.G.,

The Fibonacci Quarterly, Vol. 38, No. 2, May 2000: 98-103

40. `Some Fractals in Goldpoint Geometry.’

Turner, J.C., (Dedicated to the memory of Herta Freitag.)

The Fibonacci Quarterly, Feb. 2003.

41. `On Fibonacci Tracks, Groups and Plus-Minus Sequences.’

Turner, J. C., presented at the International Conference

on Fibonacci Numbers and their Applications, Luxembourg, July, 2000.

[No Proceedings; published later in the book `New Visual …’, 2002]

42. `Some Constructions and Theorems in Goldpoint Geometry.’

Turner, J.C., presented at the International Conference on Fibonacci

Numbers and their Applications, Flagstaff 2002. Accepted for

publication in the Proceedings. 19 pp.

43.`Some Applications of Triangle Transformations in Fibonacci Geometry.’

Turner, J.C., presented at the International Conference on Fibonacci

Numbers and their Applications, Flagstaff 2002. Accepted for

publication in the Proceedings. 25 pp.

Research Reports:

1. Turner, J.C. and Beder, B. `Stochastic Processes on Fibonacci Trees.’

(Research Report No 142, Nov. 1985).

2. Turner, J.C. `Fibonacci Word Patterns and Binary Sequences.’ Research

Report No. 138, Department of Mathematics, University of

Waikato, July 1985.

3. J.C. Turner, `Tree Sequences with Shade Z+ and Parity-driven

Growth.’ Research Report No. 151, University of Waikato,

Hamilton.

4. J.C. Turner, A.G. Shannon T.D. Robb; `On Generalizations of

Fibonacci Trees and Zeckendorf Integer Representation

Theorems.’ Department of Mathematics Statistics, RR. No. 164

(July, 1988); pp. 1-24.

5. A.G. Schaake, J.C. Turner, `A New Theory of Braiding.’ Department of

Mathematics Statistics, RR 1/1, No. 165 (July, 1988); pp. 1-42.

6. `A New Theory of Braiding (RR1/2) – Algorithms for Regular Knots.’

J.C. Turner (with A.G. Schaake; Research Report No. 168, Dept.

of Mathematics Statistics , University of Waikato, 1988; pp.41.

7. A.G. Schaake and J.C. Turner, `New Methods for Solving Quadratic

Diophantine Equations : Part I – Investigations of Rational

Numbers using Rooted Trees and other Directed Graphs; Part II –

The Pythagorean Triples.’ Research Report No. 192 (1989),

Department of Mathematics Statistics, University of Waikato,

Hamilton, N.Z., Dec. 1989: 75 pp.

Magazine or Newsletter Articles:

1. `New Jobs for Old.’ J.C. Turner, (on the new types of professions open to those

educated in computing, electronics, and O.R.). Published in the Huddersfield

Examiner, 1966.

2. `Cuckoos in the Mathematics Nest.’ paper presented to the Member

Bodies’ Meeting of the Royal N.Z. Scientific Society, 30th

April 1980; published in the R.N.Z.S.S. magazine, and also in

the N.Z. Math. Soc. Newsletter. (Presented in my capacity as President of

the N.Z. Mathematical Society, that year.)

3. `On Mathematics and Poetry.’ (1983), N.Z.Mathematics Magazine, Vol.

20, No. 3, 10 pp.

4. `Fibonacci Convolution Trees and Integer Representations.’ (April,

1985), feature article in the N.Z. Math. Soc. Newsletter, pp.16-21.

5. Turner, J.C. `Fibonacci Convolution Trees and Integer

Representations.’ published as an invited feature article in

N.Z.M.S. Newsletter, May 1985.

6. J.C. Turner, `Problem 18: Counting Folyominoes on an nvn F-lattice.’

NZ Mathematical Society Newsletter Dec. 1985. (Also appeared in

N.Z. Mathematics Magazine, Vol.23, No.2, Aug. 1986).

7. J.C. Turner, `Words can be Fibonacci too.’ N.Z. Mathematics

Magazine, Vol.23, No.1, May 1986.

8. J.C. Turner, `On Fibonacci Trees and Arithmetic Progressions.’ N.Z.

Mathematics Magazine, Vol.24, No.1, Apl. 1987, pp. 34-37.

9. A.G. Schaake and J.C. Turner, `Pythagorean Triples – a New Solution

after 2500 Years.’ Article, The New Zealand Mathematical

Society Newsletter, No. 47, Dec. 1989: 6 pp.

Other Writings, Publications, Editorships:

Mathematics Syllabus Series: I initiated this series in 1980;

published by the N.Z. Mathematical Society to provide texts for

Bursary and Undergraduate students; Editor (with Vere-Jones and

Wake) of the first three. The Series has provided a considerable

source of funds for furthering the aims of the Society.

English Universities Press: contracted (in 1969) to be Editor/author

of a series on Mathematics for Operational Research: arranged

for two books to be written, one on matrices and the other on

probability for O.R.: although partial drafts were produced, the

series fell through when I moved from England to New Zealand.

`Albert in the Land of The Dees.’ (1972, 190 pp), children’s fantasy,

based on mathematical ideas; unpublished (re-edited, 1998; Europa Chang

is now illustrating it, view to publication in 2003).

Editor and Publisher of Music for the N.Z. Federation of Classical

Guitar Societies:

(i) Music from the Hamilton Society Competitions, (1979).

(ii) Two New Zealand Composers – Solos and Duets for Classical

Guitar, (1981); Matthew Marshall and Pieter v.d. Werden.

(iii) FOLIO ONE – New Music for Classical Guitar, various composers (1983).

Seminars and Conference Papers Presented:

The following are only half a dozen of talks whose titles I remember. An

estimate of the total of all seminars etc. which I have presented is given

at the end of this section.

May 1984, NZ Mathematics Colloquium, Victoria University, Wellington.

(i) On Knot Invariants and Number Theory.

(ii) Large Class Management of Computer Aided Teaching.

August 1984, International Conference on Mathematics Education (ICME IV),

Adelaide University, poster paper on Computer Aided Teaching.

November 1984, Joint Mathematics/Computer Departments Seminar.

Two talks on Stochastic Processes on Trees.

March 1985, Department of Mathematics seminar.

Talk: In the shade of the old AP tree, and other flights of forest fancy.

May 1985, Third Australasian Mathematics Convention, UNSW, Sydney.

Paper: Integral Multinumbers and their Shades.

I have presented many papers that are not recorded here. Seminars in the

Department in my University and others; talks in San Jos\'{e}, Santa Clara and

San Francisco; talks at Fourah Bay University, Leeds University, St. Andrews University;

and many at the annual (about 40) NZ Mathematics Colloquia in the period 1971 to 1994.

Estimates of numbers of seminar or conference talks are: New Zealand (40), U.S.A. (15),

Britain (6), Australia (3), Italy (2), Austria (2), Tasmania (1): TOTAL 69. I

have not kept records of titles, etc. of these talks, except those which

appeared in Conference Proceedings.

A Retirement Symposium:

My Department kindly organized one for me, on 9 December 1993.

I presented the last of seven papers. Mine was entitled `On Models of the Modular Group and some of its Geometric and

Number Sequence Properties’. (The other papers were: `How to Draw a Nice Seifert

Surface.’ D. Gauld, U. Auckland; `Nonlinear Fourier Analysis.’ E. Kalnins, U.

Waikato; `Pen-based User Interfaces in Symbolic Computation.’ W. Rogers, U.

Waikato; `History in Mathematics, or the History of Mathematics.’ M. Schroder,

U. Waikato; `The Saga of the Meccano Computer.’ G. Tee, U. Auckland;

`Pentagonal Cells.’ G. Wake, Massey U.)

Innovations in Statistical and Mathematical Education:

1. Leeds Polytechnic (1967-70):

(i) Developed laboratory equipment and documented practical methods for

statistics teaching; also equipment for operations research

demonstrations. These included a student kit for a set of

statistics experiments, and machines for demonstrating

formation and dispersion of customers in queues as modelled by

queue theory. Several devices for generating random customers

and passing them through queue systems were built and used at

the Polytechnic. Negotiations with manufacturers to produce

the equipment for wide distribution were in progress when I

moved to New Zealand.

(ii) Introduced a 4-year sandwich-degree course, viz. B.Sc.(Hons) in

Operational Research with Computing. This required over two

years’ planning, negotiations with other polytechnics, steering

through many committees, and gaining acceptance from the

central committee for polytechnic degrees in London. I was

responsible for the detailed documentation of every aspect of

the degree course, from its philosophy through week-to-week

details of all its syllabuses, to estimates of student numbers,

job prospects, and so on. To my knowledge this degree course

still proceeds today, in much the same form as its original

design.

2. University of Waikato (1970 – 1994):

(i) Introduced various methods for providing statistical computing

projects to our students, keeping pace with developments of

computer use in statisticl work.

In particular I invented, and with the aid of a young computer

scientist brought to full fruition, a high-level computing

language called STATUS (STATistical computing Ultra-Simple).

This language was designed to enable students to carry out

sampling exercises and do statistical analyses, learning the

theory and practice of all the statistical methods taught (up

to M.Sc. level) in our courses. Facilities for studying some

O.R. models were also included. It is very much more than a

mere package of sub-routines; up to the mid-70’s it was the

only language of its kind to be really useful for educational

purposes. It may be compared with MINITAB, which is now the

leading world language of that type: but in 1977 or thereabouts

STATUS was much in advance of MINITAB. It still has the edge

in some respects, but MINITAB is supported by a technical and

sales support team, whereas no such support was available for

STATUS. My language was used extensively at U. Waikato for

over 10 years, and for a time was used widely elsewhere in New

Zealand. It was also introduced to two Polytechnics and a

University in England; in Singapore; and one copy was sent to

an American University

(ii) In the years 1982/3/4 I designed and implemented (with the aid of

Statistics staff at U. Waikato) a large system of Computer-aided

Learning, mainly with a view to giving help to the weaker first

year students. The emphasis of the material put into the

system is on remedial mathematics; but there are also units for

revision of self-teaching of a variety of basic statistical

topics. The system is continually being appraised and

developed, and as better graphics facilities become available I

intend to improve the kinds of instructions given [N.B. This didn’t

happen; its use at U. Waikato was discontinued about 1990].

As well as containing much teaching material, mainly of the

programmed-text variety, there are several other facilities

in the system, for teacher-student communication.

(iii) In the years 1982-1986 I took part in the planning for a new

School of Computing and Mathematical Sciences. From 1986 to 1990 I

was foundation Dean of the School, and was responsible for

establishing the School’s administrative structures and for

designing and introducing four-year, professions-oriented study

programmes leading to a Bachelor of Computing and Mathematical

Sciences degree, to be awarded with or without Honours. Programmes

were also established for Diplomas, Masters and Ph.D. awards.

In 1989 the School moved into a new building, designed for it.

I oversaw this move, and helped establish many new laboratories

and teaching facilities for computing and mathematical sciences.

`Cultural’ Innnovation:

In 1976 I pursuaded a small group of University personnel to form

the Waikato Art Group, with the objective of supporting New

Zealand artists and building up an art collection which the

campus could enjoy. Each member has paid \$20.00 a month since,

into a purchasing fund; and from time to time the group has

visited exhibitions and bought works for the collection. The

works are exhibited in various locations on campus; and several

full exhibitions have been presented. The collection now has

considerable value; no doubt most of it will eventually be

gifted to the University.

Although there are several groups now operating in New Zealand, ours

has the honour of being the first to be formed.

[Addendum: this Group was wound up in 1988, and the bulk of the

collection was donated to the University.]

Directory Entries:

An entry of my achievements has appeared in the following directories,

for several years in each.

Directory of British Scientists.

Directory of British Authors.

The International Authors and Writers Who’s Who.

The New Zealand Who’s Who.

Marquis Who’s Who in the World.