咨询与建议

看过本文的还看了

相关文献

该作者的其他文献

文献详情 >Mathematics of Approximation 收藏

Mathematics of Approximation

丛 书 名:Mathematics Textbooks for Science and Engineering

版本说明:2012

作     者:Johan De Villiers 

I S B N:(纸本) 9789491216497 

出 版 社:Atlantis Press 

出 版 年:2012年

页      数:xxi, 406 p.页

主 题 词:Approximation theory. 

学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学] 

馆 藏 号:201731784...

摘      要:The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter

实体馆藏
馆藏地名称 定位 索书号 条码号 文献状态
外文图书借阅室 查看 O174.41/D278-2/X 020059976 可借

读者评论 与其他读者分享你的观点

用户名:未登录
我的评分