Podrobnosti o e‑knize
As is known, the book named "Multivariate spline functions and their applications" has been published by the Science Press in 1994. This book is an English edition based on the original book mentioned 1 above with many changes, including that of the structure of a cubic - interpolation in n-dimensional spline spaces, and more detail on triangu lations have been added in this book. Special cases of multivariate spline functions (such as step functions, polygonal functions, and piecewise polynomials) have been examined math ematically for a long time. I. J. Schoenberg (Contribution to the problem of application of equidistant data by analytic functions, Quart. Appl. Math., 4(1946), 45 - 99; 112 - 141) and W. Quade & L. Collatz (Zur Interpo lations theories der reellen periodischen function, Press. Akad. Wiss. (PhysMath. KL), 30(1938), 383- 429) systematically established the the ory of the spline functions. W. Quade & L. Collatz mainly discussed the periodic functions, while I. J. Schoenberg's work was systematic and com plete. I. J. Schoenberg outlined three viewpoints for studing univariate splines: Fourier transformations, truncated polynomials and Taylor ex pansions. Based on the first two viewpoints, I. J. Schoenberg deduced the B-spline function and its basic properties, especially the basis func tions. Based on the latter viewpoint, he represented the spline functions in terms of truncated polynomials. These viewpoints and methods had significantly effected on the development of the spline functions.
As is known, the book named "Multivariate spline functions and their applications" has been published by the Science Press in 1994. This book is an English edition based on the original book mentioned 1 above with many changes, including that of the structure of a cubic - interpolation in n-dimen...
Zjistit více
Ohodnotit e‑knihu
Sdělte nám, co si myslíte.
Informace o čtení
Telefony a tablety
Nainstalujte si aplikaci Knihy Google Play pro Android a iPad/iPhone. Aplikace se automaticky synchronizuje s vaším účtem a umožní vám číst v režimu online nebo offline, ať jste kdekoliv.
Notebooky a počítače
Audioknihy zakoupené na Google Play můžete poslouchat pomocí webového prohlížeče v počítači.
Čtečky a další zařízení
Pokud chcete číst knihy ve čtečkách elektronických knih, jako např. Kobo, je třeba soubor stáhnout a přenést do zařízení. Při přenášení souborů do podporovaných čteček elektronických knih postupujte podle podrobných pokynů v centru nápovědy.
