The Mathematical Works of Bernard Bolzano

The Mathematical Works of Bernard Bolzano

Pub. Date:
Oxford University Press, USA


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The Mathematical Works of Bernard Bolzano

Bernard Bolzano (1781-1848, Prague) was an outstanding thinker and reformer, far ahead of his times in many areas, including philosophy, ethics, politics, logic, theology and physics, and mathematics. Aimed at historians of mathematics, philosophy, ethics and logic, this volume contains the first English translations of some of his most significant mathematical writings, which contain the details of many celebrated insights and anticipations: clear topological definitions of various geometric extensions, an effective statement and use of the Cauchy convergence before it appears in Cauchy's work, remarkable results on measurable numbers (a version of real numbers), on functions (the construction of a continuous, non-differentiable function around 1830) and on infinite collections.

Product Details

ISBN-13: 9780198539308
Publisher: Oxford University Press, USA
Publication date: 09/15/2004
Pages: 728
Product dimensions: 9.40(w) x 6.50(h) x 2.00(d)

Table of Contents

Geometry and Foundations
Early Analysis
Later Analysis and the Infinite

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