The son of Minna Cohen and Marcus Levy, an art dealer in Edinburgh, Hyman was the third oldest of eight children. He went to school at George Heriot's School, and was the School Dux. Thanks to scholarships, he was able to go to Germany to study at the University of Göttingen. But because of World War I, Levy had to return to the United Kingdom. Besides having been educated at the University of Göttingen, he was also educated at the University of Oxford and the University of Edinburgh. Researching aeronautics at the National Physical Laboratory, Levy published papers and books on mathematical applications pertaining to aeronautics. He also wrote about differential equations and probability. After leaving the laboratory, he became a professor of mathematics at the Royal College of Science of Imperial College London where he later served as the head of the department. At Imperial, he is believed to have greatly improved the department of mathematics, and in recognition to his contribution, he later became the dean of the Royal College of Science.
In 1918, he married Marion Aitken Fraser, despite the disapproval of his family. They had three children. Levy was in the Labour Party from 1920 to 1931, and then in 1931 he joined the British Communist Party. Despite his theoretical allegiance to the principles of communism, Levy became disappointed by the way the Russian communists treated Jews, and published on the topic, leading to his expulsion from the party in 1958.
- Finite Difference Equations, co-authored with F. Lessman; Pitman (Dec 1959), ISBN 978-0486672601.
- Aeronautics in Theory and Experiment, co-authored with William Lewis Cowley; ASIN: B000WUT77A; republished by BiblioBazaar; ISBN 978-0559313677.
- Jews and the National Question, Hillway Pub. Co., London; 1st Edition (1958); ASIN: B0007J87TA.
- Aspects of Dialectical Materialism, co-authored with Ralph Fox. John MacMurray et al.; Watts (1935), London; ASIN: B0037ZPVHC.
- Literature for an age of science, Methuen (1952); ASIN: B0000CIEER.
- Social Thinking, Cobbett (1945); ASIN: B0014KNTQW.
- Elementary Statistics (Nelson's Aeroscience Manuals), Nelson (1945); ASIN: B001P8HX9C.
- Elementary Statistics (Nelson's Aeroscience Manuals), Thomas Nelson (1945); ASIN: B00978213K.
- Soviet Jews at war, pamphlet, Russia Today Society (1943); ASIN: B00KBTLNDI.
- Science: Curse Or Blessing?, Watts & Co. (1940); ASIN: B0026OCT8O.
- Elementary Mathematics, Thomas Nelson & Sons (1942); ASIN: B0007DT7RC.
- Modern Science - A Study of Physical Science in the World Today, Hamish Hamilton (1939); ASIN: B00085G0RO.
- Elementary Statistics, Nelson (1959), London; ASIN: B000OUHSRO.
- Modern Engineering Theory & Practice, co-authored with Bailey Levy; Odhams Press Ltd (1935); ASIN: B000R7AJPW.
- Practical Mathematical Analysis ... With examples by the translator, co-authored with Horst von Sanden; ASIN: B0017WK6S6.
- The Universe of Science; republished by Rupa and Co, New Delhi; ISBN 81-291-0168-8.
- Staff,Hyman Levy Gazetteer for Scotland, Retrieved 10 February 2010
- O'Connor, John J.; Robertson, Edmund F., "Levy Hyman", MacTutor History of Mathematics archive, University of St Andrews.
- Facsimile of the Obituary of Levy Hyman, published in The Times, reproduced by St Andrews University
- "School Captains and Duxes George Heriot's School". www.george-heriots.com. Retrieved 11 September 2016.
- "Levy_Hyman biography". www-groups.dcs.st-and.ac.uk. Retrieved 11 September 2016.
- Weisstein, Eric W. "Levy's Conjecture". MathWorld.
- MacDonald, J. K. L. (1940). "Review: Modern Science, A Study of Physical Science in the World Today by Hyman Levy" (PDF). Bull. Amer. Math. Soc. 46 (3): 209–210. doi:10.1090/s0002-9904-1940-07166-6.
- G A Barnard, Hyman Levy, Dictionary of National Biography, 1971-1980 (Oxford-New York, 1986), 503-504.