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The History of Approximation Theory : From Euler to Bernstein by Karl-Georg Steffens, George A. Anastassiou is a nonfiction available to read on EtoBox.

What is The History of Approximation Theory : From Euler to Bernstein about?

The problem of approximating a given quantity is one of the oldest challenges faced by mathematicians. Its increasing importance in contemporary mathematics has created an entirely new area known as Approximation Theory. The modern theory was initially developed along two divergent schools of thought: the Eastern or Russian group, employing almost exclusively algebraic methods, was headed by Chebyshev together with his coterie at the Saint Petersburg Mathematical School, while the Western mathematicians, adopting a more analytical approach, included Weierstrass, Hilbert, Klein, and others. 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 exciting exposition integrates history, philosophy, and mathematics. While demonstrating excellent techni

Who reads The History of Approximation Theory : From Euler to Bernstein?

Author

Karl-Georg Steffens, George A. Anastassiou

Publisher

Birkhäuser Boston

Published

2005

Language

EN

ISBN

9780817643539

Category

nonfiction

Subjects

Mathematics, Philosophy, Science