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Herbert Melvin Lieberstein

Published online by Cambridge University Press:  09 April 2009

R. G. Keats
Affiliation:
Department of Mathematics, University of Newcastle, New South Wales 2308, Australia
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Professor Herbert Melvin Lieberstein died at Royal Newcastle Hospital on 18th August,1973, at the age of 47. As an applied mathematician, Professor Lieberstein was devoted tohis research and teaching in the application of mathematics to other disciplines; his most recent book entitled “Mathematical Physiology”, was published just before his death. Because his interests coincided so closely with the aims and aspirations of theFaculty of Mathematics at Newcastle, his appointment to that Faculty in 1971 was particularly appropriate.He lived less than two years in Australia, but during that time he consolidated his reputation as a most versatile and successful applied mathematician. His work is well known throughout Australia and, indeed, throughout the world, especially to those who work in fields to which mathematics may be profitably applied. However, his versatility and ability were not confined to mathematics, for he also made substantial contributions to a number of community projects; these contributions will be long remembered by those interested in the welfare of the Australian Aborigines, problems of the environment and associated projects.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1975

References

Books

[1]A Course in Numerical Analysis’, Harper, New York (1968).Google Scholar
[2]Theory of Partial Differential Equations’, Mathematics in Science and Engineering, Academic Press, New York and London (1972).Google Scholar
[3]Mathematical Physiology — Blood Flow and Electrically Active Cells’, American Elsevier, New York (1973).Google Scholar

Articles

[4]On a mixed problem for the Euler-Poisson-Darboux equation’, J. Anal. Mathématiqe, 6 (1958), 357379; addendum, 7 (1959), 188.CrossRefGoogle Scholar
[5]On the numerical calculation of detached bow shock waves in hypersonic flow’, (with Garabedian, P. R.), J. Aeronautical Sci., 25 (1958), 109118.Google Scholar
[6]On the generalized radiation problem of A. Weinstein’, Pacific J. Math., 7 (1957), 16231640.CrossRefGoogle Scholar
[7]Numerical solution of the boundary layer equations without similarity assumptions’, (with Kramer, R.), J. Aero-space Sci., 26 (1959), 508514.CrossRefGoogle Scholar
[8]A continuous method in numerical analysis applied to a new class of boundary value problems’, Rendiconti di Mathematica (3–4), 19 (1960), 347378.Google Scholar
[9]Further numerical data on Blunt Bodies’, note in J. Aeronautical Sci. (1960).Google Scholar
[10]Determination of the tension versus stretch relation for a point in the aorta from measurement in vivo of pressure at three equally-spaced points’, Acta Biotheoretica, XVII, Parts II (1965), 4994.Google Scholar
[11]On the Hodgkin-Huxley partial differential equation’, Math. Biosci., 1 (1967), 4569.CrossRefGoogle Scholar
[12]Numerical studies of the steady-state equations for aHodgkin-Huxley model: Parts I, II, III’, Math. Biosci., 1 (1967), 181211.CrossRefGoogle Scholar
[13]Ephaptic initiation, a possible mechanism for electrical transmission in beds of membranous cells’, Math. Biosci., 1 (1967), 213225.CrossRefGoogle Scholar
[14]Asymptotic uniqueness for elastic tube flows satisfying a Windkessel condition’, (with Elcrat, Alan R.), Math. Biosci., 1 (1967), 397411.CrossRefGoogle Scholar
[15]Some clarification in the mathematical theory of electrophoresis’, Math. Biosci., 3 (1968), 399412.CrossRefGoogle Scholar
[16]The significance of viscous flow properties in the theory of operation of a nephron’, Math. Biosci., 4 (1969), 49100.CrossRefGoogle Scholar
[17]Cell communication, a discourse and speculation on a possible role for mathematics in the developing theories of cancerous growth and immune reactions’, Math. Biosci., 5 (1969), 403418.CrossRefGoogle Scholar
[18]A source of large inductance and concentrated moving magnetic fields on axons’, (with Mahrous, M. A.), Math. Biosci., 7 (1970), 4160.Google Scholar
[19]A formulation concerning the electrical effects of axon variations from cylindrical shape, spindle cells and bulbous synapses’, (with Mahrous, M. A.), Math. Biosci., 7 (1970), 259272.Google Scholar
[20]Self-inhibition as a facet of sensory physiology clarifying a critical point in an emerging general theory of the electrical activity of cells’, Math. Biosci., 11 (1971), 365375.CrossRefGoogle Scholar
[21]A possible four-mode operation of neurons and chains of fibroblasts: transmission mechanism for an early warning alert system’, Math. Biosci., 12 (1971), 722.CrossRefGoogle Scholar
[22]The basilar membrane as a uniformly loaded plate clamped on two spiral boundaries in a plane or on two helical-spiral boundaries: discussion of the model’, Math. Biosci., 12 (1971), 281291.CrossRefGoogle Scholar
[23]The basilar membrane as a uniformly loaded plate clamped on two spiral boundaries in a plane or on two helical-spiral boundaries: relevance of the species record’, Math. Biosci., 13 (1972), 139148.CrossRefGoogle Scholar
[24]The steady-state demand output-waste economy’, Proceedings of the Conference on Pollution: Engineering and Scientific Solutions, Tel Aviv, Plenum Press, 06 12–17 (1972), 487 503.Google Scholar
[25]Communities for native peoples, urban environment planning, and the utilisation of highly developed skils'’, The International Technical Co operation Centre Special Congress Issue, (1973), 249252.Google Scholar
[26]Letter to the Editor. Notices of the American Mathematical Society, 20, No. 2 (1973), 81.Google Scholar
[27]‘Mathematical treatment of some problems in physiology’, Computers and Mathematics with Applications, inaugural issue, (1974).Google Scholar