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The papers in this book chronicle Henri Poincaré's journey in algebraic topology between 1892 and 1904, from his discovery of the fundamental group to his formulation of the Poincaré conjecture. For the first time in English translation, one can follow every step (and occasional stumble) along the way, with the help of translator John Stillwell's introduction and editorial comments. Now that the Poincaré conjecture has finally been proved, by Grigory Perelman, it seems timely to collect the papers that form the background to this famous conjecture. Poincaré's papers are in fact the first draft of algebraic topology, introducing its main subject matter (manifolds) and basic concepts (homotopy and homology). All mathematicians interested in topology and its history will enjoy this book.

This book reconstructs, both from the historical and theoretical points of view, Leibniz’s geometrical studies, focusing in particular on the research Leibniz carried on in the last years of his life.

The essays in this volume examine the historic and present-day role of the internal critics of the postwar regimes in Eastern Europe who, whatever their intentions, used Marxism as critique to demolish Marxism as ideocracy, but did not succeed in replacing it.

The essays in this volume examine the historic and present-day role of the internal critics of the postwar regimes in Eastern Europe who, whatever their intentions, used Marxism as critique to demolish Marxism as ideocracy, but did not succeed in replacing it.