Book contents
- Frontmatter
- Contents
- Editor's Statement
- Preface
- Introduction
- Chapter 1 Basic Definitions and Properties
- Chapter 2 Further Elementary Theorems
- Chapter 3 Coalescence of Rows
- Chapter 4 Applications of Coalescence
- Chapter 5 Rolle Extensions and Independent Sets of Knots
- Chapter 6 Singular Matrices
- Chapter 7 Zeros of Birkhoff Splines
- Chapter 8 Almost-Hermitian Matrices; Special Three-Row Matrices
- Chapter 9 Applications
- Chapter 10 Birkhoff Quadrature Formulas
- Chapter 11 Interpolation at the Roots of Unity
- Chapter 12 Turán's Problem of (0, 2) Interpolation
- Chapter 13 Birkhoff Interpolation by Splines
- Chapter 14 Regularity Theorems and Self-Dual Problems
- Bibliography and References
- Symbol Index
- Subject Index
Editor's Statement
Published online by Cambridge University Press: 05 April 2013
- Frontmatter
- Contents
- Editor's Statement
- Preface
- Introduction
- Chapter 1 Basic Definitions and Properties
- Chapter 2 Further Elementary Theorems
- Chapter 3 Coalescence of Rows
- Chapter 4 Applications of Coalescence
- Chapter 5 Rolle Extensions and Independent Sets of Knots
- Chapter 6 Singular Matrices
- Chapter 7 Zeros of Birkhoff Splines
- Chapter 8 Almost-Hermitian Matrices; Special Three-Row Matrices
- Chapter 9 Applications
- Chapter 10 Birkhoff Quadrature Formulas
- Chapter 11 Interpolation at the Roots of Unity
- Chapter 12 Turán's Problem of (0, 2) Interpolation
- Chapter 13 Birkhoff Interpolation by Splines
- Chapter 14 Regularity Theorems and Self-Dual Problems
- Bibliography and References
- Symbol Index
- Subject Index
Summary
A large body of mathematics consists of facts that can be presented and described much like any other natural phenomenon. These facts, at times explicitly brought out as theorems, at other times concealed within a proof, make up most of the applications of mathematics, and are the most likely to survive change of style and of interest.
This ENCYCLOPEDIA will attempt to present the factual body of all mathematics. Clarity of exposition, accessibility to the non-specialist, and a thorough bibliography are required of each author. Volumes will appear in no particular order, but will be organized into sections, each one comprising a recognizable branch of present-day mathematics. Numbers of volumes and sections will be reconsidered as times and needs change.
It is hoped that this enterprise will make mathematics more widely used where it is needed, and more accessible in fields in which it can be applied but where it has not yet penetrated because of insufficient information.
- Type
- Chapter
- Information
- Birkhoff Interpolation , pp. xiii - xivPublisher: Cambridge University PressPrint publication year: 1984