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Selected Works I
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This a two-volume collection containing the Collected Works of Herbert Busemann, one of the leading geometer of the twentieth century, one of the main founders of metric geometry, convexity theory and convexity in metric spaces. Busemann also made substantial work (probably the most important one) on Hilbert's Problem Nb. IV. The Collected Works edition contains Busemann's most important published articles on these topics. Volume I of the collection contains Busemann's papers on the foundations of geodesic spaces and on the metric geometry of Finsler spaces. Volume II of the collection contains Busemann's papers on convexity and integral geometry, on Hilbert's Problem IV, and other papers on miscellaneous subjects. Each volume contains biographical documents and introductory essays on Busemann's work, as well as documents from his correspondence. The introductory essays are written by well-known specialists on Busemann's work. The volumes will be most valuable to researchers in synthetic and metric geometry, convexity theory and the foundations of geometry.
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