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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. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory.
This book is intended as a course in numerical analysis and approximation theory for advanced undergraduate students or graduate students, and as a reference work for those who lecture or research in this area. Its title pays homage to Interpolation and Approximation by Philip J. Davis, published in 1963 by Blaisdell and reprinted by Dover in 1976. My book is less g- eral than Philip Davis's much respected classic, as the quali?cation "by polynomials" in its title suggests, and it is pitched at a less advanced level. I believe that no one book can fully cover all the material that could appearinabookentitledInterpolation and Approximation by Polynomials. Nevertheless, I have tried to cover most of the main topics. I hope that my readers will share my enthusiasm for this exciting and fascinating area of mathematics, and that, by working through this book, some will be encouraged to read more widely and pursue research in the subject. Since my book is concerned with polynomials, itis written in the language of classical analysis and the only prerequisites are introductory courses in analysis and linear algebra.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
This book is intended as a course in numerical analysis and approximation theory for advanced undergraduate students or graduate students, and as a reference work for those who lecture or research in this area. Its title pays homage to Interpolation and Approximation by Philip J. Davis, published in 1963 by Blaisdell and reprinted by Dover in 1976. My book is less g- eral than Philip Davis's much respected classic, as the quali?cation "by polynomials" in its title suggests, and it is pitched at a less advanced level. I believe that no one book can fully cover all the material that could appearinabookentitledInterpolation and Approximation by Polynomials. Nevertheless, I have tried to cover most of the main topics. I hope that my readers will share my enthusiasm for this exciting and fascinating area of mathematics, and that, by working through this book, some will be encouraged to read more widely and pursue research in the subject. Since my book is concerned with polynomials, itis written in the language of classical analysis and the only prerequisites are introductory courses in analysis and linear algebra.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
From the reviews: G.M. Phillips Interpolation and Approximation by Polynomials "A very nicely written textbook to learn about polynomial interpolation and approximation." -ZENTRALBLATT MATH "This book contains selected topics from approximation theory. The author discusses one of 'the most' classic part of approximation theory, the interpolation theory and two related fields ... . The selection of the areas, the lot of worked examples, the exercises and problems at the end of each section and the algorithms included and detailed ... makes this book perfect for everyone's approximation book." (Béla Nagy, Acta Scientiarum Mathematicarum, Vol. 69, 2003) "This is a very nicely written textbook to learn about polynomial interpolation and approximation. ... Throughout the book nice sets of 'Problems' are placed ... ." (Marcel G. de Bruin, Zentralblatt MATH, Vol. 1023, 2003)