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Harry Bateman

Harry Bateman FRS was an English mathematician with a specialty in differential equations of mathematical physics. With Ebenezer Cunningham, he expanded the views of spacetime symmetry of Lorentz and Poincare to a more expansive conformal group of spacetime leaving Maxwell's equations invariant. Moving to the US, he obtained a Ph.D. in geometry with Frank Morley and became a professor of mathematics at California Institute of Technology. There he taught fluid dynamics to students going into aerodynamics with Theodore von Karman. Bateman made a broad survey of applied differential equations in his Gibbs Lecture in 1943 titled, "The control of an elastic fluid".

Biography
Bateman was born in Manchester, England, on 29 May 1882. He first gained an interest in mathematics during his time at Manchester Grammar School. In his final year, he won a scholarship to Trinity College, Cambridge. Bateman studied with coach Robert Alfred Herman to prepare for the Cambridge Mathematical Tripos. He distinguished himself in 1903 as Senior Wrangler (tied with P.E. Marrack) and by winning the Smith's Prize (1905). His first paper, "The determination of curves satisfying given conditions", was published when he was still an undergraduate student. He studied in Göttingen and Paris, and taught at the University of Liverpool and University of Manchester. After moving to the US in 1910, he taught at Bryn Mawr College and then Johns Hopkins University. There, working with Frank Morley in geometry, he achieved his Ph.D., prior to which he had already published more than 60 papers, including some of his celebrated papers. In 1917, he took up his permanent position at the California Institute of Technology, which was then known as the "Throop Polytechnic Institute". Eric Temple Bell says, "Like his contemporaries and immediate predecessors among Cambridge mathematicians of the first decade of this century [1901–1910]... Bateman was thoroughly trained in both pure analysis and mathematical physics, and retained an equal interest in both throughout his scientific career." Theodore von Kármán was called in as an advisor for a projected aeronautics laboratory at Caltech and later gave this appraisal of Bateman: Harry Bateman married Ethel Horner in 1912 and had a son named Harry Graham, who died as a child. Later, the couple adopted a daughter named Joan Margaret. He died on his way to New York in 1946 of coronary thrombosis. ==Scientific contributions==
Scientific contributions
In 1907, Harry Bateman was lecturing at the University of Liverpool together with another senior wrangler, Ebenezer Cunningham. In 1908, together they came up with the idea of a conformal group of spacetime (now usually denoted as ) For his part, in 1910 Bateman published The Transformation of the Electrodynamical Equations. He was elected as vice-president of the American Mathematical Society in 1935 and was the Society's Gibbs Lecturer for 1943. He was on his way to New York to receive an award from the Institute of Aeronautical Science when he died of coronary thrombosis. The Harry Bateman Research Instructorships at the California Institute of Technology is named in his honour. After his death, his notes on higher transcendental functions, largely on index cards in shoe boxes found under his bed (according to his colleague Victor Elconin), were edited by Arthur Erdélyi, Wilhelm Magnus, , and Francesco G. Tricomi, and published in 1953. The volumes are colloquially known as The Bateman Manuscript. ==Publications==
Publications
In a review of Bateman's book Partial Differential Equations of Mathematical Physics, Richard Courant says that "there is no other work which presents the analytical tools and the results achieved by means of them equally completely and with as many original contributions" and also "advanced students and research workers alike will read it with great benefit". • 1908: The Conformal Transformations of a Space of Four Dimensions and their Applications to Geometrical Optics, Proceedings of the London Mathematical Society 7: 70–89. • 1910: History and Present State of the Theory of Integral Equations, Report of the British Association. • 1914: (dissertation) The Quartic Curve and its Inscribed Configurations, American Journal of Mathematics 36(4). • 1915: The Mathematical Analysis of Electrical and Optical Wave-motion on the Basis of Maxwell's Equations, Cambridge University Press. • 1918: Differential equations, Longmans, Green, London, Reprint Chelsea 1966. • 1932: Partial Differential Equations of Mathematical Physics, Cambridge University Press 1932, Dover 1944, 1959. • 1933: (with Albert A. Bennett, William E. Milne) Numerical Integration of Differential Equations, Bulletin of the National Research Council, Dover 1956. • 1932: (with Hugh Dryden, Francis Murnaghan) Report of the Committee on Hydrodynamics, Bulletin of the National Research Council, Washington D.C. • 1945: The Control of an Elastic Fluid, Bulletin of the American Mathematical Society 51(9):601–646 via Project Euclid, also found in Selected Papers on Mathematical Trends in Control Theory (Richard Bellman & Robert Kalaba editors). • Bateman Manuscript Project: Higher Transcendental Functions, 3 vols., McGraw Hill 1953/1955, Krieger 1981. • Bateman Manuscript Project: Tables of Integral Transforms, 2 vols., McGraw Hill 1954. ==See also==
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