Max Dehn (1878-1952) is known to mathematicians today for his seminal contributions to geometry and topology-Dehn surgery, Dehn twists, the Dehn invariant, etc. He is also remembered as the first mathematician to solve one of Hilbert's famous problems. However, Dehn's influence as a scholar and teacher extended far beyond his mathematics. Dehn also lived a remarkable life, described in this book in three phases. The first phase focuses on his early career as one of David Hilbert's most gifted students. The second, after World War I, treats his time in Frankfurt where he led an intimate community of mathematicians in explorations of historical texts. The final phase, after 1938, concerns his flight from Nazi Germany to Scandinavia and eventually to the United States where, after various teaching experiences, the Dehns settled at iconic Black Mountain College.
This book is a collection of essays written by mathematicians and historians of art and science. It treats Dehn's mathematics and its influence, his journeys, and his remarkable engagement in history and the arts. A great deal of the information found in this book has never before been published.
Brenda Danilowitz and Philip Ording, Max Dehn's family: A brief history
David E. Rowe, Max Dehn as Hilbert's first star pupil
Jeremy J. Gray and John McCleary, Dehn's early mathematics
Cameron McA. Gordon and David E. Rowe, Dehn's early work in topology
David E. Rowe, Golden years in Frankfurt
John Stillwell, Three students of Max Dehn
James W. Cannon, Max Dehn and the Word Problem
Stefan Muller-Stach, Max Dehn, Axel Thue, and the undecidable
David E. Rowe, Mathematics under the sign of the Swastika
Marjorie Senechal, Max Dehn's long journey
Marjorie Senechal, Max Dehn's American students
Brenda Danilowitz and Philip Ording, Toward a happy life: Max Dehn at Black
Mountain College
Jemma Lorenat, Pitzer College, Claremont, CA, John McCleary, Vassar College, Poughkeepsie, NY, Volker R. Remmert, Bergische Universitat Wuppertal, Germany, David E. Rowe, Johannes Gutenberg University, Mainz, Germany, and Marjorie Senechal, Smith College, Northhampton, MA.
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