Algebraic Approximation: A Guide to Past and Current Solutions 2012th Edition

From the reviews:

“This book is a survey of several topics in algebraic polynomial approximation on a finite interval, mostly related to the degree of approximation. … The book can be of great help to researchers, both those taking their first steps in the subject and veteran researchers who need to check references.” (D. Leviatan, Mathematical Reviews, September, 2013)

“The monograph presents an exposition of results related to direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. … The main achievement of the book is that it gathers some different known solutions to problems in algebraic approximation that are not collected in other text books. … this book is a very helpful tool for students and researchers interested in approximation by algebraic polynomials.” (Daniel Cárdenas-Morales, Zentralblatt MATH, Vol. 1248, 2012)

This book presents a unique survey of solutions in algebraic approximation. Several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval are discussed. Some of these results are not collected in any other book. In addition, facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document trends in polynomial approximation from the 1950s to the present day.

Algebraic Approximation: A Guide to Past and Current Solutions 2012th Edition will be invaluable to anyone seeking to understand the evolution of ideas in algebraic approximation. Its extensive bibliographic character will help finding the correct references for a specific result.