数值分析(第2版)(英文版)
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作者(美)高奇|责编:刘慧//岳利青
出版社世界图书出版公司
ISBN9787510097935
出版时间2015-07
装帧平装
开本其他
定价99元
货号30968512
上书时间2024-06-11
商品详情
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目录
Prologue
P1 Overview
P2 Numerical Analysis Software
P3 Textbooks and Monographs
P3.1 Selected Textbooks on Numerical Analysis
P3.2 Monographs and Books on Specialized Topics
P4 Journals
1 Machine Arithmetic and Related Matters
1.1 Real Numbers, Machine Numbers, and Rounding
1.1.1 Real Numbers
1.1.2 Machine Numbers
1.1.3 Rounding
1.2 Machine Arithmetic
1.2.1 A Model of Machine Arithmetic
1.2.2 Error Propagation in Arithmetic Operations: Cancellation Error
1.3 The Condition of a Problem
1.3.1 Condition Numbers
1.3.2 Examples
1.4 The Condition of an Algorithm
1.5 Computer Solution of a Problem; Overall Error
1.6 Notes to Chapter 1
Exercises and Machine Assignments to Chapter 1
Exercises
Machine Assignments
Selected Solutions to Exercises
Selected Solutions to Machine Assignments
2 Approximation and Interpolation
2.1 Least Squares Approximation
2.1.1 Inner Products
2.1.2 The Normal Equations
2.1.3 Least Squares Error; Convergence
2.1.4 Examples of Orthogonal Systems
2.2 Polynomial Interpolation
2.2.1 Lagrange Interpolation Formula: Interpolation Operator
2.2.2 Interpolation Error
2.2.3 Convergence
2.2.4 Chebyshev Polynomials and Nodes
2.2.5 Barycentric Formula
2.2.6 Newton's Formula
2.2.7 Hermite Interpolation
2.2.8 Inverse Interpolation
2.3 Approximation and Interpolation by Spline Functions
2.3.1 Interpolation by Piecewise Linear Functions
2.3.2 A Basis for Sf (A)
2.3.3 Least Squares Approximation
2.3.4 Interpolation by Cubic Splines
2.3.5 Minimality Properties of Cubic Spline Interpolants
2.4 Notes to Chapter 2
Exercises and Machine Assignments to Chapter 2
Exercises
内容摘要
本书为研究生的数值分析教程，包括基础入门课程和随后的专业课。后者主要
针对数值线性代数、微分方程的数值解，另外增添一些与复变函数论、多维量分析（尤其在优化方面）、功能分析及其方程相关的课题。
作者感觉当前的一些学科分支，尤其是那些处理线性代数和偏微分方程的学科，已经成为了当前研究的主流。
纵观上下文，书的前四章可以作为基础入门课程，剩下的三章可作为高年级学生的教材。
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