Professor Loewner's interest in continuous groups--particularly with respect to applications in geometry and analysis--began with his study of Sophus Lie's three-volume work on transformation groups. He was able to reconstruct a coherent development of the subject by synthesizing Lie's numerous illustrative examples, many of which appeared only as footnotes. The examples contained in this book--primarily geometric in character--reflect the professor's unique view and treatment of continuous groups.
Professor Loewner's interest in continuous groups--particularly with respect to applications in geometry and analysis--began with his study of Sophus Lie's three-volume work on transformation groups. He was able to reconstruct a coherent development of the subject by synthesizing Lie's numerous illustrative examples, many of which appeared only as footnotes. The examples contained in this book--primarily geometric in character--reflect the professor's unique view and treatment of continuous groups.
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