Prugovečki was born in Craiova, Romania to a Romanian mother, Helena (née Piatkowski), and Croatian father, Slavoljub. He completed the first four years of secondary education in Bucharest, before his family was forced to relocate to Zagreb in 1951, due to an anti-Yugoslav campaign by the communist authorities. He finished high school there and proceeded to study physics at the University of Zagreb, getting his diploma in 1959. He joined the Department of Theoretical Physics at the Institute Ruđer Bošković in Zagreb, where he worked as a research assistant until 1961.
In 1961, as the best student of his generation in Zagreb, Prugovečki was sent to Princeton University, New Jersey, United States. He wrote his doctoral thesis under the direction of theoretical physicist Arthur Wightman, and earned his Ph.D. from Princeton in 1964. In 1965, he moved to Canada, where he first spent two years as a postdoctoral fellow at the Institute for Theoretical Physics in Edmonton, Alberta, and then a year as a lecturer at the University of Alberta.
He taught physics at the University of Toronto from 1967 to 1997. In 1974, he spent one year as a visiting professor at the Centre national de la recherche scientifique in Marseille, France. Around 1986 he resigned from his membership in the International Association of Mathematical Physics.
- "Dr. E. Prugovecki's Biographical Notes". utoronto.ca. University of Toronto. Retrieved 2015-02-02.
- E. Prugovečki (1977). "Information-theoretical aspects of quantum measurements". Int. J. Theor. Phys. 16. pp. 321–331. Bibcode:1977IJTP...16..321P. doi:10.1007/BF01807146.
- E. Prugovečki (1984). Stochastic quantum mechanics and quantum spacetime. Kluwer. ISBN 90-277-1617-X.
- Quantum Mechanics in Hilbert Space, Academic Press 1971, ISBN 0-12-566050-2
- Stochastic Quantum Mechanics and Quantum Spacetime, Kluwer 1984, ISBN 90-277-1617-X
- Quantum Geometry, Kluwer 1992
- Principles of Quantum General Relativity, World Scientific 1995, ISBN 981-02-2138-X
- Janko Herak (editor), Distinguished Croatian Scientists in America, Part Two, ISBN 953-97325-1-4