Mathematics of the 19th Century

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The editors initially aimed to create a comprehensive work on the history of nineteenth-century mathematics, transitioning systematically through various disciplines. However, challenges in author selection led to the abandonment of this plan by the second volume. Instead of a unified monograph, the series now offers a collection of books that collectively cover the mathematics of the nineteenth century, though not in the conventional order of disciplines. Unlike the first two volumes, which were organized into chapters, this third volume is divided into four parts, aligning better with the publication's nature. The first book addressed the history of mathematical logic, algebra, number theory, and probability, while the second focused on geometry and analytic function theory. In this third volume, readers will encounter an essay on Chebyshev's theory of function approximation, later termed "constructive function theory" by S. N. Bernshtein. This original essay, authored by the late N. I. Akhiezer (1901-1980), who made significant contributions to this field, is expected to engage not only historians of mathematics but also specialists in constructive function theory.