MANUSCRIPT COLLECTION


MS 059 – CHERRY, Thomas Macfarland (1898-1966)
Mathematician

The material listed is contained in a series of folders and the name given to each file is that which appears on the cover, some written by TMC, some by others. Where there is no title on the cover, headings of contents are used.

59/1

  1. Correspondence with Walter Boas and manuscript (5 pages) on formulae for X-rays in cylindrical crystal aggregates 1940

  2. Citation by Sir M Oliphant at the conferring of an honorary DSc on TMC, ANU, Canberra 1963

  3. Iteration

  4. Iteration calculation

  5. Special iterations

  6. Iteration (old)

  7. Reprint of “Thomas Macfarland Cherry” by K E Bullen. Records of the Australian Academy of Science vol. 1, no. 2, December 1967

  8. The Australian Mathematics Teacher, vol. 24, no. 1, March 1968 - memorial number devoted to TMC

  9. Reprint of “Thomas Macfarland Cherry, 1898-1966, elected FRS 1954”, by K E Bullen and G Temple. Biographical memoirs of Fellows of the Royal Society, vol. 14, November 1968

  10. “Thomas Macfarland Cherry”, by E R Love. Journal of the Australian Mathematical Society, vol. lx, parts 1,2, 1969
59/2
  1. Godel’s Theorem

  2. Godel’s Theorem

  3. Advanced complex variable Schlicht functions, mapping theory

  4. Approximation to univalent functions. Formal transformations. Variations of chains with a parameter, etc.

  5. Infinite linear equations - manuscripts leading to JAMS paper
    Reprint of “Infinite linear systems with homogeneous kernel of degree - 1”. Journal of the Australian Mathematical Society vol. 2, 1965, pp 129-168.
59/3
  1. Iteration - numerical approximation to rosette function

  2. Rosette function calculations

  3. TMC theory of magnetron (manuscript)

  4. Miscellaneous material - references, meetings, letters, etc.

  5. Applied Mathematics III (1953- )
    Differential equations
    Elasticity
59/4
  1. Applied Mathematics III (Hons.)

  2. Principles of dynamics

  3. Variational methods of hydrodynamics. A collection of reprints and extracts of papers by others - Wang, Rao, de los Santos, Ito, Millikan, Lamb, Gerber, Taub, Davydov, Bateman

  4. Higher dynamics

  5. Motion of compressible fluid
    (University of Melbourne. Applied Maths. 3rd paper. November 1951)

  6. Applied mathematics IV
    Calculus of variations

  7. Partial fraction series and summation of Kapteyn-type series

  8. Asymptotic formulae - general, hypergeometric and Bessel functions
    3 reprints from Proceedings of the Royal Society (A) 1947, 1949, 1950
    Typescripts of papers
59/5
  1. Series corner solution for hyperbolic partial differential equations

  2. Partial differential equations and their singular points (much theory)

  3. Untitled research papers

  4. No. equations
    Notes for lectures, etc.

  5. Special systems
59/6
  1. Introduction to Natural Philosophy (start of a book?). Chapter I, introduction
    Some Mathematical Association minutes

  2. Collision through fluid layers

  3. Foundations of dynamics

  4. Introduction to Natural Philosophy including course given to Pure Mathematics IIIb

  5. Littlewood’s lectures on differential equations
    Typescript by Cartwright and Littlewood

  6. Recurrent systems soluble by quadratures

  7. Algebraic invariant relations

  8. Dynamics - Integrals of Hamiltonian and Pfaffian systems

  9. Solution by integrating factors

  10. “On periodic solutions of Hamiltonian systems of differential equations” by TMC - reprint from Philosophical Transactions of the Royal Society of London Series A vol. 227, 1928, pp. 137-221, and handwritten notes
59/7
  1. Solution near a neutral periodic solution
    Early iteration

  2. Old dynamics

  3. Hodography, nozzle flows
    Reprints of Philosophical transaction of the Royal Society of London Series A, vol. 245 (1953) 583-626
    Proceedings of the Royal Society A vol. 202 (1950) 507, with notes

  4. Nozzle flow calculations

  5. Meyer’s nozzle

  6. Material for Trans paper
59/8
  1. Trig. tables
    Master tables

  2. Tables - chaplygin series

  3. Tables of hypergeometric functions
    Reprint of Proceedings of the royal society a 1950 paper by TMC

    Asymptotic tables for hypergeometric functions
    NACA technical Note no. 995 - tables
    streamlines, etc.

  4. Flowpast ellipse, formulae, main terms

  5. Streamlines

  6. Hypergeometric functions
    tables y = 1.4
    reprints Proceedings of the Royal Society A

  7. 1. Symmetrization
    2. Hodography nozzle solutions (Emmons)
59/9
  1. Hypergeometric functions of high order
    Tables

  2. Adolph Basser Computing Laboratory
    Example of hyper programme
    Translation programme
    Interpretive programming
    Directory to function block

  3. Programming - organizational (comp. lab.)
    Newspaper cutting - The Age, 20 March 1961
    University of Melbourne - Council meeting no. 14
    University of Melbourne - Computation Laboratory report for 1956

  4. programming manual for automatic electronic computer. CSIRAC

  5. Programming manual. CSIRAC

  6. Programmes

  7. Programmes

  8. Stellar structure

  9. Reflection of X-rays from a cylindrical crystal aggregate

  10. Magnetron

  11. Mapping a toothed annular region on a circular annulus (manuscript not in TMC’s handwriting)

  12. Relativistic theory of the unslotted magnetron by H C Corben

  13. Biharmonic etc. expansions
    Manuscript of “Eigen function expansions related to biharmonic and other fourth order differential equations”

  14. 4th order
59/10
  1. Variational principles (in hydrodynamics)

  2. 4th order

  3. hydrodynamics (viscous etc.)

  4. Biharmonic

  5. Viscous flow

  6. Iteration

  7. Mainly hydrodynamics
    - miscellaneous
    - compressible

  8. Notes on “clamped rectangular plate under pressure” and 4th order expansion theorems

  9. Notes on “Rosette functions” etc.
    “A contribution to the mathematical theory of big game hunting” by H. Pétard, Princeton, NJ

  10. Transformation of hogograph equation (arithmetic and algebra)
59/11
  1. Motion in a compressible viscous fluid
    Generalization of Kapteyn series (Harry Levey mentioned)

  2. Continuation of Kapteyn series

  3. Approximations to a non-linear differential equation

  4. On periodic solutions of dynamical equations

  5. On differential equations of dynamical systems part I (for attention and development) (1929?)

  6. On the differential equations of dynamics (probably useless) (old)
59/12
  1. On the differential equations of dynamics part II - The trajectories of dynamical systems

  2. On the differential equations of dynamics part III - The foundations of statistical mechanics

  3. On the differential equations of dynamics part IV - The integrals of dynamical systems

  4. Parabolic cylinder functions - probably includes manuscript of a paper

  5. Lecture notes for course on differential equations, Seattle, 1966

  6. Ordinary differential equations, ca 1954 - typed lecture notes for Applied Mathematics III and refs. (Ref. to Coppel and Atkinson)

99 cm