The Fictioning Horror Sale
 
 

Recently Viewed clear list


Powell's Q&A | September 3, 2014

Emily St. John Mandel: IMG Powell’s Q&A: Emily St. John Mandel



Describe your latest book. My new novel is called Station Eleven. It's about a traveling Shakespearean theatre company in a post-apocalyptic North... Continue »
  1. $17.47 Sale Hardcover add to wish list

    Station Eleven

    Emily St. John Mandel 9780385353304

spacer
Qualifying orders ship free.
$108.50
New Hardcover
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
25 Remote Warehouse Mathematics- Analysis General

Other titles in the Grundlehren Der Mathematischen Wissenschaften series:

Grundlehren Der Mathematischen Wissenschaften #27: A Practical Guide to Splines

by

Grundlehren Der Mathematischen Wissenschaften #27: A Practical Guide to Splines Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book is based on the author's experience with calculations involving polynomial splines, presenting those parts of the theory especially useful in calculations and stressing the representation of splines as weighted sums of B-splines. The B-spline theory is developed directly from the recurrence relations without recourse to divided differences. This reprint includes redrawn figures, and most formal statements are accompanied by proofs.

Synopsis:

Includes bibliographical references (p. 331-339) and index.

Table of Contents

Preface * Notation * Table of Contents * I Polynomial Interpolation * II Limitations of Polynomial Approximation * III Piecewise Linear Approximation * IV Piecewise Cubic Interpolation; CUBSPL * V Best Approximation Properties of Complete Cubic Spline Interpolation and its Error * VI Parabolic Spline Interpolation * VII A Representation for Piecewise Polynomial Functions; PPVALU, INTERV * VIII The Spaces PkE,v and the Truncated Power Basis * IX The Representation of PP Functions by B-splines * X The Stable Evaluation of B-splines and Splines; BSPLVB, BVALUE, BSPLPP * XI The B-Spline Series * XII Local Spline Approximation Methods and the Distance from Splines; NEWNOT * XIII Spline Interpolation; SPLINT, SPLOPT * XIV Smoothing and Least-Square Approximation; SMOOTH, L2APPR * XV The Numerical Solution of an Ordinary Differential Equation by Collocation; BSPLVD, COLLOC * Taut Splines, Periodic Splines, Cardinal Splines and the Approximation of Curves; TAUTSP * XVII Surface Approximation by Tensor Products * Postscript on Things not Covered * Appendix. Listing of SOLVEBLOK Package * List of Fortran Programs * Bibliography * Subject Index

Product Details

ISBN:
9780387953663
Author:
De Boor, Carl
Publisher:
Springer
Author:
Boor, Carl de
Author:
de Boor, C.
Location:
New York, NY
Subject:
General
Subject:
Chemistry - General
Subject:
Mathematical Analysis
Subject:
Spline theory
Subject:
Mathematics-Analysis General
Subject:
Analysis
Subject:
Geometry
Subject:
Computational intelligence
Subject:
Math. Applications in Chemistry
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Subject:
Engineering
Subject:
Chemistry_xMathematics
Copyright:
Edition Number:
1
Edition Description:
1st ed. 1978. 1st hardcover printing
Series:
Applied Mathematical Sciences
Series Volume:
27
Publication Date:
January 2002
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
364
Dimensions:
235 x 155 mm 1540 gr

Other books you might like

  1. The Disappearance of Sherlock Holmes Used Mass Market $3.95
  2. Sara Midda's South of France: A... Used Hardcover $8.95
  3. CMS Books in Mathematics #4:... New Hardcover $118.50
  4. Sherlock Holmes and the Ice Palace... Used Mass Market $2.95
  5. Universitext #141: Grvbner Bases New Hardcover $108.50

Related Subjects

Health and Self-Help » Health and Medicine » General
Health and Self-Help » Health and Medicine » General Medicine
Reference » Science Reference » Technology
Science and Mathematics » Chemistry » General
Science and Mathematics » Mathematics » Algebra » Other
Science and Mathematics » Mathematics » Analysis General

Grundlehren Der Mathematischen Wissenschaften #27: A Practical Guide to Splines New Hardcover
0 stars - 0 reviews
$108.50 In Stock
Product details 364 pages Springer-Verlag - English 9780387953663 Reviews:
"Synopsis" by , This book is based on the author's experience with calculations involving polynomial splines, presenting those parts of the theory especially useful in calculations and stressing the representation of splines as weighted sums of B-splines. The B-spline theory is developed directly from the recurrence relations without recourse to divided differences. This reprint includes redrawn figures, and most formal statements are accompanied by proofs.
"Synopsis" by , Includes bibliographical references (p. 331-339) and index.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.