The Erlangen Program fundamentally reshaped the understanding of mathematics and physics through the lens of group theory. This volume offers the first modern, comprehensive exploration of this pivotal program, detailing its origins with Felix Klein and its crucial development by Sophus Lie. It examines how their theories, intertwined with their personal histories and collaborations with other prominent mathematicians like Hermann Weyl and Henri Poincaré, continue to influence contemporary mathematics and physics.

The book is presented as a comprehensive and authoritative account of the Erlangen Program, written by well-known experts. Its scope covers the program's historical development, its theoretical underpinnings, and its lasting impact on both mathematics and physics. The text is intended for a diverse audience, including mathematicians, graduate students, and those interested in the evolution of mathematical ideas, suggesting it aims for both scholarly depth and accessibility.