eBook - PDF
The Theory of Splines and Their Applications
Mathematics in Science and Engineering: A Series of Monographs and Textbooks, Vol. 38
- 297 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
The Theory of Splines and Their Applications
Mathematics in Science and Engineering: A Series of Monographs and Textbooks, Vol. 38
About this book
The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines. The book explains the equations of the spline, procedures for applications of the spline, convergence properties, equal-interval splines, and special formulas for numerical differentiation or integration. The text explores the intrinsic properties of cubic splines including the Hilbert space interpretation, transformations defined by a mesh, and some connections with space technology concerning the payload of a rocket. The book also discusses the theory of polynomial splines of odd degree which can be approached through algebraically (which depends primarily on the examination in detail of the linear system of equations defining the spline). The theory can also be approached intrinsically (which exploits the consequences of basic integral relations existing between functions and approximating spline functions). The text also considers the second integral relation, raising the order of convergence, and the limits on the order of convergence. The book will prove useful for mathematicians, physicist, engineers, or academicians in the field of technology and applied mathematics.
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Table of contents
- Front Cover
- The Theory of Splines and Their Applications
- Copyright Page
- Table of Contents
- PREFACE
- Chapter 1. Introduction
- Chapter 2. The Cubic Spline
- Chapter 3. Intrinsic Properties of Cubic Splines
- Chapter 4. The Polynomial Spline
- Chapter 5. Intrinsic Properties of Polynomial Splines of Odd Degree
- Chapter 6. Generalized Splines
- Chapter 7. The Doubly Cubic Spline
- Chapter 8. Generalized Splines in Two Dimensions
- Bibliography
- INDEX
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Yes, you can access The Theory of Splines and Their Applications by J. H. Ahlberg,E. N. Nilson,J. L. Walsh, Richard Bellman in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over 1.5 million books available in our catalogue for you to explore.