中图网

>

数学

>

数学分析

数值分析-第2版

作者：高奇

出版社：世界图书出版公司出版时间：2015-07-01

开本： 24开 页数： 588

本类榜单：自然科学销量榜

中图价:¥31.7(3.6折) 定价 ~~¥88.0~~ 登录后可看到会员价

加入购物车收藏

运费6元，满39元免运费

?新疆、西藏除外

温馨提示：5折以下图书主要为出版社尾货，大部分为全新（有塑封/无塑封），个别图书品相8-9成新、切口
有划线标记、光盘等附件不全详细品相说明>>

本类五星书更多>

>
宇宙、量子和人类心灵

宇宙、量子和人类心灵

¥41.6¥58
>
考研数学专题练1200题

考研数学专题练1200题

¥30.6¥78
>
希格斯:“上帝粒子”的发明与发现

希格斯:“上帝粒子”的发明与发现

¥17.4¥48
>
神农架叠层石:10多亿年前远古海洋微生物建造的大堡礁

神农架叠层石:10多亿年前远古海洋微生物建造的大堡礁

¥48¥120
>
二十四史天文志校注(上中下)

二十四史天文志校注(上中下)

¥261.3¥390
>
声音简史

声音简史

¥20.8¥52
>
浪漫地理学:追寻崇高景观

浪漫地理学:追寻崇高景观

¥39.3¥59

商品详情
商品评论(0条)

中图价:¥31.7 加入购物车

版权信息
本书特色
内容简介
目录
作者简介

数值分析-第2版版权信息

ISBN：9787510097935
条形码：9787510097935 ; 978-7-5100-9793-5
装帧：一般胶版纸
册数：暂无
重量：暂无
所属分类：
自然科学
>
数学
>
数学分析

数值分析-第2版本书特色

该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。

数值分析-第2版内容简介

该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。

数值分析-第2版目录

PrologueP1 OverviewP2 Numerical Analysis SoftwareP3 Textbooks and MonographsP3．1 Selected Textbooks on Numerical AnalysisP3．2 Monographs and Books on Specialized TopicsP4 Journals1 Machine Arithmetic and Related Matters1．1 Real Numbers， Machine Numbers， and Rounding1．1．1 Real Numbers1．1．2 Machine Numbers1．1．3 Rounding1．2 Machine Arithmetic1．2．1 A Model of Machine Arithmetic1．2．2 Error Propagation in Arithmetic Operations： Cancellation Error1．3 The Condition of a Problem1．3．1 Condition Numbers1．3．2 Examples1．4 The Condition of an Algorithm1．5 Computer Solution of a Problem; Overall Error1．6 Notes to Chapter 1Exercises and Machine Assignments to Chapter 1ExercisesMachine AssignmentsSelected Solutions to ExercisesSelected Solutions to Machine Assignments2 Approximation and Interpolation2．1 Least Squares Approximation2．1．1 Inner Products2．1．2 The Normal Equations2．1．3 Least Squares Error; Convergence2．1．4 Examples of Orthogonal Systems2．2 Polynomial Interpolation2．2．1 Lagrange Interpolation Formula： Interpolation Operator．2．2．2 Interpolation Error2．2．3 Convergence．．2．2．4 Chebyshev Polynomials and Nodes2．2．5 Barycentric Formula2．2．6 Newton's Formula2．2．7 Hermite Interpolation2．2．8 Inverse Interpolation2．3 Approximation and Interpolation by Spline Functions2．3．1 Interpolation by Piecewise Linear Functions2．3．2 A Basis for St（A）2．3．3 Least Squares Approximation2．3．4 Interpolation by Cubic Splines2．3．5 Minimality Properties of Cubic Spline Interpolants2．4 Notes to Chapter 2Exercises and Machine Assignments to Chapter 2ExercisesMachine AssignmentsSelected Solutions to ExercisesSelected Solutions to Machine Assignments3 Numerical Differentiation and Integration3．1 Numerical Differentiation3．1．1 A General Differentiation Formula for Unequally Spaced Points3．1．2 Examples3．1．3 Numerical Differentiation with Perturbed Data3．2 Numerical Integration3．2．1 The Composite Trapezoidal and Simpson's Rules3．2．2 （Weighted） Newton-Cotes and Gauss Formulae3．2．3 Properties of Gaussian Quadrature Rules3．2．4 Some Applications of the Gauss Quadrature Rule3．2．5 Approximation of Linear Functionals： Method f Interpolation vs． Method of Undetermined Coefficients3．2．6 Peano Representation of Linear Functionals3．2．7 Extrapolation Methods3．3 Notes to Chapter 3Exercises and Machine Assignments to Chapter 3ExercisesMachine AssignmentsSelected Solutions to ExercisesSelected Solutions to Machine Assignments4 Nonlinear Equations4．1 Examples4．1．1 A Transcendental Equation4．1．2 A Two-Point Boundary Value Problem4．1．3 A Nonlinear Integral Equation4．1．4 s-Orthogonal Polynomials4．2 Iteration， Convergence， and Efficiency4．3 The Methods of Bisection and Sturm Sequences4．3．1 Bisection Method4．3．2 Method of Sturm Sequences4．4 Method of False Position4．5 Secant Method4．6 Newton's Method4．7 Fixed Point Iteration4．8 Algebraic Equations4．8．1 Newton's Method Applied to an Algebraic Equation4．8．2 An Accelerated Newton Method for Equations with Real Roots4．9 Systems of Nonlinear Equations4．9．1 Contraction Mapping Principle4．9．2 Newton's Method for Systems of Equations4．10 Notes to Chapter 4Exercises and Machine Assignments to Chapter 4ExercisesMachine AssignmentsSelected Solutions to ExercisesSelected Solutions to Machine Assignments5 Initial Value Problems for ODEs： One-Step Methods5．1 Examples5．2 Types of Differential Equations5．3 Existence and Uniqueness5．4 Numerical Methods5．5 Local Description of One-Step Methods5．6 Examples of One-Step Methods5．6．1 Euler's Method5．6．2 Method of Taylor Expansion5．6．3 Improved Euler Methods5．6．4 Second-Order Two-Stage Methods5．6．5 Runge-Kutta Methods5．7 Global Description of One-Step Methods5．7．1 Stability5．7．2 Convergence5．7．3 Asymptotics of Global Error5．8 Error Monitoring and Step Control5，8．1 Estimation of Global Error5，8．2 Truncation Error Estimates5，8．3 Step Control5．9 Stiff Problems5，9．1 A-Stability5．9．2 Pad6 Approximation5．9．3 Examples of A-Stable One-Step Methods5．9．4 Regions of Absolute Stability5．10 Notes to Chapter 5Exercises and Machine Assignments to Chapter 5ExercisesMachine AssignmentsSelected Solutions to ExercisesSelected Solutions to Machine Assignments6 Initial Value Problems for ODEs： Multistep Methods6．1 Local Description of Multistep Methods6．1．1 Explicit and Implicit Methods6．1．2 Local Accuracy6．1．3 Polynomial Degree vs． Order6．2 Examples of Multistep Methods6．2．1 Adams-Bashforth Method6．2．2 Adams-Moulton Method6．2．3 Predictor-Corrector Methods6．3 Global Description of Multistep Methods6．3．1 Linear Difference Equations6．3．2 Stability and Root Condition6．3．3 Convergence6．3．4 Asymptotics of Global Error6．3．5 Estimation of Global Error6．4 Analytic Theory of Order and Stability6．4．1 Analytic Characterization of Order6．4．2 Stable Methods of Maximum Order6．4．3 Applications6．5 Stiff Problems6．5．1 A-Stability6．5．2 A（c0-Stability6．6 Notes to Chapter 6Exercises and Machine Assignments to Chapter 6ExercisesMachine AssignmentsSelected Solutions to ExercisesSelected Solutions to Machine Assignments7 Two-Point Boundary Value Problems for ODEs7．1 Existence and Uniqueness7．1．1 Examples7．1．2 A Scalar Boundary Value Problem7．1．3 General Linear and Nonlinear Systems7．2 Initial Value Techniques7．2．1 Shooting Method for a Scalar Boundary Value Problem7．2．2 Linear and Nonlinear Systems7．2．3 Parallel Shooting7．3 Finite Difference Methods7．3．1 Linear Second-Order Equations7．3．2 Nonlinear Second-Order Equations7．4 Variational Methods7．4．1 Variational Formulation7．4．2 The Extremal Problem7．4．3 Approximate Solution of the Extremal Problem7．5 Notes to Chapter 7Exercises and Machine Assignments to Chapter 7ExercisesMachine AssignmentsSelected Solutions to ExercisesSelected Solutions to Machine AssignmentsReferencesIndex

展开全部