### About this book

This book covers the main topics concerned with interpolation and
approximation by polynomials. This subject can be traced back to the
precalculus era but has enjoyed most of its growth and development since the
end of the nineteenth century and is still a lively and flourishing part of
mathematics. In addition to coverage of univariate interpolation and
approximation, the text includes material on multivariate interpolation and
multivariate numerical integration, a generalization of the Bernstein
polynomials that has not previously appeared in book form, and a greater
coverage of Peano kernel theory than is found in most textbooks. There are
many worked examples and each section ends with a number of carefully selected
problems that extend the student's understanding of the text. George Phillips
has lectured and researched in mathematics at the University of St. Andrews,
Scotland. His most recent book, Two Millenia of Mathematics: From Archimedes
to Gauss (Springer 2000), received enthusiastic reviews in the USA, Britain
and Canada. He is well known for his clarity of writing and his many
contributions as a researcher in approximation theory.
Written for:

Advanced undergraduates Graduate Studentsn/a n/a