# A Practical Guide to Splines

Carl De Boor, "A Practical Guide to Splines"

Springer | 2001-11-29 | ISBN: 0387953663 | 368 pages | File type: PDF | 3,1 mb

This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines. After two chapters summarizing polynomial approximation, a rigorous discussion of elementary spline theory is given involving linear, cubic and parabolic splines. The computational handling of piecewise polynomial functions (of one variable) of arbitrary order is the subject of chapters VII and VIII, while chapters IX, X, and XI are devoted to B-splines. The distances from splines with fixed and with variable knots is discussed in chapter XII. The remaining five chapters concern specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting. The present text version differs from the original in several respects. The book is now typeset (in plain TeX), the Fortran programs now make use of Fortran 77 features. The figures have been redrawn with the aid of Matlab, various errors have been corrected, and many more formal statements have been provided with proofs. Further, all formal statements and equations have been numbered by the same numbering system, to make it easier to find any particular item. A major change has occured in Chapters IX-XI where the B-spline theory is now developed directly from the recurrence relations without recourse to divided differences. This has brought in knot insertion as a powerful tool for providing simple proofs concerning the shape-preserving properties of the B-spline series.

http://www.fileserve.com/file/y8HnpRr

**[Fast Download] A Practical Guide to Splines**

**Ebooks related to "A Practical Guide to Splines" :**

Empirical Research in Statistics Education

TTC - Understanding Calculus: Problems, Solutions, and Tips [repost]

A Companion to Interdisciplinary Stem Project-Based Learning, Second Edition

Intelligent Mathematics II: Applied Mathematics and Approximation Theory

Advances and Applications in Chaotic Systems

Generalized Calculus with Applications to Matter and Forces

Separation of Variables for Partial Differential Equations: An Eigenfunction Approach

Lens Design, Third Edition, (Optical Science and Engineering)

Matlab-Simulink: Analyse und Simulation dynamischer Systeme (ReUp)

Alan F. Beardon , "Algebra and Geometry"

**Copyright Disclaimer:**

This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.

**Categories**

Astronomy and Cosmology | Physics |

Philosophy | Medicine |

Mathematics |
DSP |

Cryptography | Chemistry |

Biology and Genetics | Psychology and Behavior |

**Popular ebooks**

100 Essential Things You Didn't Know You d(3705)

The Story of Science(3567)

Introducing Mathematics: A Graphic Guide(3428)

How To Learn And Memorize Math, Numbers, E(2961)

Linear Algebra: A Modern Introduction,, 2n(2409)

Encyclopedia of Mathematics(2295)

The Foundations of Mathematics, 2 edition(2280)

Geometric Algebra (Dover Books on Mathemat(2187)

Understanding Statistics(2060)

The Concise Oxford Dictionary of Mathemati(2041)

Applied Mathematics, 4th Edition(1984)

Calculus For Dummies(1952)

Cambridge IGCSE Mathematics: Core & Extend(1938)

Introduction to Logic, 2nd edition(1857)

Geometry for Dummies(1783)