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Author Steffens, Karl-Georg.

Title The history of approximation theory : from Euler to Bernstein / Karl-Georg Steffens
Published Boston : Birkhäuser, ©2006

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Description 1 online resource (xix, 219 pages) : illustrations
Contents Dedication -- Foreword -- Preface -- Introduction -- Forerunners -- Pafnuti Lvovich Chebyshev -- The Saint Petersburg Mathematical School -- Development Outside Russia -- Constructive Function Theory: Kharkiv -- Biographies -- Explanations -- References -- Index -- List of Figures -- List of Tables
Summary "This work traces the history of approximation theory from Leonhard Euler's cartographic investigations at the end of the 18th century to the early 20th century contributions of Sergei Bernstein in defining a new branch of function theory. One of the key strengths of this book is the narrative itself. The author combines a mathematical analysis of the subject with an engaging discussion of the differing philosophical underpinnings in approach as demonstrated by the various mathematicians. This exposition integrates history, philosophy, and mathematics. While demonstrating excellent technical control of the underlying mathematics, the work is focused on essential results for the development of the theory."--Jacket
Bibliography Includes bibliographical references (pages 201-216) and index
Notes English
Print version record
In Springer e-books
Subject Approximation theory -- History
Mathematics -- History
Mathematics
Fourier Analysis
MATHEMATICS -- General.
Análisis de Fourier
Aproximación, Teoría de -- Historia
Approximation theory
Mathematics
Genre/Form History
Form Electronic book
ISBN 9780817644758
081764475X
9780817643539
0817643532
1280956720
9781280956720
9786610956722
6610956723