Geometry of Complex Numbers: Circle Geometry, Möbius Transformations, Non-Euclidean Geometry arrived in 1962 as a comprehensive text intended to bring classical function theory into a unified reference format. Hans Wilhelm Eduard Schwerdtfeger authored this work, establishing his academic reputation through the study of algebra, group theory, and matrix theory while navigating a career across three distinct continents.
Academic Formation in Germany
Born in Göttingen in 1902, Schwerdtfeger pursued his formal mathematical training at the University of Göttingen and the University of Bonn. These institutions provided the foundational environment for his later specialization in complex analysis and group geometry. This period of study preceded his eventual movement toward international academic appointments.
Twenty questions, eight minutes on the clock, and a percentile measured against everyone who has taken it. No sign-up.
Take the IQ test →Global Professional Tenure
Schwerdtfeger held citizenship in Germany, Canada, and Australia, reflecting his geographic shifts between 1940 and 1983. He accepted a position at the University of Melbourne in 1940. His career continued at McGill University, where he remained from 1957 until 1983. Before concluding his life in Adelaide in 1990, he also served at the University of Adelaide.
Research and Mathematical Contribution
His primary contributions to mathematics centered on linear algebra, matrix theory, and Galois theory. Beyond his specialized research into the geometry of groups, he was concerned with the accessibility of classical function theory. His efforts in documenting these subjects were recognized for providing a vital resource for scholars and libraries requiring a consolidation of complex variable principles.
Fast facts
- Born: 1902, Göttingen
- Died: 1990, Adelaide
- Citizenships: Germany, Canada, Australia
- Education: University of Bonn, University of Göttingen
- Academic Posts: University of Adelaide, University of Melbourne, McGill University
- Fields of Work: Algebra, complex numbers, matrices, linear algebra, group theory
- Major Publication: Geometry of Complex Numbers (1962)
Questions readers ask
What were the primary mathematical focus areas of Hans Schwerdtfeger?
His work covered Galois theory, matrix theory, group theory, geometry, and complex analysis.
Where did Schwerdtfeger teach during his career?
He held academic posts at the University of Melbourne, McGill University, and the University of Adelaide.
Achievements
- Held posts at McGill University, University of Melbourne and University of Adelaide
- Fields: mathematics, linear algebra and complex number
