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Mathematics of the 19th Century - Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences (Hardcover, 1998 ed.)
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Mathematics of the 19th Century - Function Theory According to Chebyshev Ordinary Differential Equations Calculus of Variations Theory of Finite Differences (Hardcover, 1998 ed.)
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The editors of the present series had originally intended to
publish an integrated work on the history of mathematics in the
nineteenth century, passing systemati cally from one discipline to
another in some natural order. Circumstances beyond their control,
mainly difficulties in choosing authors, led to the abandonment of
this plan by the time the second volume appeared. Instead of a
unified mono graph we now present to the reader a series of books
intended to encompass all the mathematics of the nineteenth
century, but not in the order of the accepted classification of the
component disciplines. In contrast to the first two books of The
Mathematics of the Nineteenth Century, which were divided into
chapters, this third volume consists of four parts, more in keeping
with the nature of the publication. 1 We recall that the first book
contained essays on the history of mathemati 2 cal logic, algebra,
number theory, and probability, while the second covered the
history of geometry and analytic function theory. In the present
third volume the reader will find: 1. An essay on the development
of Chebyshev's theory of approximation of functions, later called
"constructive function theory" by S. N. Bernshtein. This highly
original essay is due to the late N. I. Akhiezer (1901-1980), the
author of fundamental discoveries in this area. Akhiezer's text
will no doubt attract attention not only from historians of
mathematics, but also from many specialists in constructive
function theory."
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