THEORY OF CONTINUOUS GROUPS

Book Details

• Author: Charles Loewner

• Publisher: Dover

• Binding: Paperback

• Edition: Illustrated

• Release Date: 04-02-2008

• ISBN: 9780486462929

• Languages: English

• Package Dimensions: 9.1 x 6.1 x 0.3 inches

About the Book

"Continuous Groups" by Charles Loewner is a collection of fourteen lectures that offer an insightful look into the concept of continuous groups with a particular focus on applications in geometry and analysis. Originally presented by Loewner in his 1955 course at the University of California at Berkeley, these lectures were transformed into mimeographed notes. Despite his death in 1968, the project of turning these notes into a full-fledged book remained a goal, which was eventually realized in the 1971 edition, now available in this definitive compilation.

Loewner, a professor at Stanford University, had a deep interest in Sophus Lie’s work on transformation groups. In this book, he masterfully synthesizes Lie’s examples and applies them to a clear and coherent development of the subject. The examples provided are primarily geometric and reflect Loewner’s unique approach to continuous groups, which significantly contributes to the understanding of both geometry and mathematical analysis.

This illustrated edition makes the original material more accessible, offering permanent form to these remarkable lectures. Whether you’re a mathematician or a student of advanced mathematics, this book will provide a foundational understanding of continuous groups, bridging complex theoretical concepts with geometric applications.