Front cover image for The history of approximation theory : from Euler to Bernstein

The history of approximation theory : from Euler to Bernstein

"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."--BOOK JACKET
Print Book, English, ©2006
Birkhäuser, Boston, ©2006
History
xix, 219 pages : illustrations ; 24 cm
9780817643539, 9780817644758, 0817643532, 081764475X
62893888
Forerunners
Pafnuti Lvovich Chebyshev
The Saint Petersburg mathematical school
Development outside Russia
Constructive function theory: Kharkiv
doi.org Rutgers restricted Full text available from Springer