请选择 进入手机版 | 继续访问电脑版
楼主: cmwei333
23932 68

【数值分析,最新版教材】 Numerical Analysis (10th Edition) by Burden, Faires   [推广有奖]

贵宾

泰斗

1%

还不是VIP/贵宾

-

TA的文库  其他...

【历史+心理学+社会自然科学】

【数学+统计+计算机编程】

【金融+经济+商学+国际政治】

威望
6
论坛币
3565641 个
通用积分
710.4648
学术水平
4324 点
热心指数
4647 点
信用等级
3954 点
经验
362166 点
帖子
9826
精华
9
在线时间
2842 小时
注册时间
2015-2-9
最后登录
2017-1-29

初级热心勋章 中级热心勋章 高级热心勋章 初级信用勋章 中级信用勋章 初级学术勋章 特级热心勋章 中级学术勋章 高级信用勋章 高级学术勋章 特级学术勋章 特级信用勋章

cmwei333 发表于 2017-1-9 05:21:19 |显示全部楼层 |坛友微信交流群
相似文件 换一批

+2 论坛币
k人 参与回答

经管之家送您一份

应届毕业生专属福利!

求职就业群
赵安豆老师微信:zhaoandou666

经管之家联合CDA

送您一个全额奖学金名额~ !

感谢您参与论坛问题回答

经管之家送您两个论坛币!

+2 论坛币
Numerical Analysis, 10th Edition

Richard L. Burden
J. Douglas Faires
Annette M. Burden

cover.png


This well-respected book introduces readers to the theory and application of modern numerical approximation techniques. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work-and why, in some situations, they fail. A wealth of examples and exercises develop readers' intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. Three decades after it was first published, Burden, Faires, and Burden's NUMERICAL ANALYSIS remains the definitive introduction to a vital and practical subject.

Table of Contents

1. MATHEMATICAL PRELIMINARIES AND ERROR ANALYSIS.
Review of Calculus. Round-off Errors and Computer Arithmetic. Algorithms and Convergence. Numerical Software and Chapter Summary.

2. SOLUTIONS OF EQUATIONS IN ONE VARIABLE.
The Bisection Method. Fixed-Point Iteration. Newton's Method and Its Extensions. Error Analysis for Iterative Methods. Accelerating Convergence. Zeros of Polynomials and Müller's Method. Numerical Software and Chapter Summary.

3. INTERPOLATION AND POLYNOMIAL APPROXIMATION.
Interpolation and the Lagrange Polynomial. Data Approximation and Neville's Method. Divided Differences. Hermite Interpolation. Cubic Spline Interpolation. Parametric Curves. Numerical Software and Chapter Summary.

4. NUMERICAL DIFFERENTIATION AND INTEGRATION.
Numerical Differentiation. Richardson's Extrapolation. Elements of Numerical Integration. Composite Numerical Integration. Romberg Integration. Adaptive Quadrature Methods. Gaussian Quadrature. Multiple Integrals. Improper Integrals. Numerical Software and Chapter Summary.

5. INITIAL-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.
The Elementary Theory of Initial-Value Problems. Euler's Method. Higher-Order Taylor Methods. Runge-Kutta Methods. Error Control and the Runge-Kutta-Fehlberg Method. Multistep Methods. Variable Step-Size Multistep Methods. Extrapolation Methods. Higher-Order Equations and Systems of Differential Equations. Stability. Stiff Differential Equations. Numerical Software and Chapter Summary.

6. DIRECT METHODS FOR SOLVING LINEAR SYSTEMS.
Linear Systems of Equations. Pivoting Strategies. Linear Algebra and Matrix Inversion. The Determinant of a Matrix. Matrix Factorization. Special Types of Matrices. Numerical Software and Chapter Summary.

7. ITERATIVE TECHNIQUES IN MATRIX ALGEBRA.
Norms of Vectors and Matrices. Eigenvalues and Eigenvectors. The Jacobi and Gauss-Siedel Iterative Techniques. Relaxation Techniques for Solving Linear Systems. Error Bounds and Iterative Refinement. The Conjugate Gradient Method. Numerical Software and Chapter Summary.

8. APPROXIMATION THEORY.
Discrete Least Squares Approximation. Orthogonal Polynomials and Least Squares Approximation. Chebyshev Polynomials and Economization of Power Series. Rational Function Approximation. Trigonometric Polynomial Approximation. Fast Fourier Transforms. Numerical Software and Chapter Summary.

9. APPROXIMATING EIGENVALUES.
Linear Algebra and Eigenvalues. Orthogonal Matrices and Similarity Transformations. The Power Method. Householder's Method. The QR Algorithm. Singular Value Decomposition. Numerical Software and Chapter Summary.

10. NUMERICAL SOLUTIONS OF NONLINEAR SYSTEMS OF EQUATIONS.
Fixed Points for Functions of Several Variables. Newton's Method. Quasi-Newton Methods. Steepest Descent Techniques. Homotopy and Continuation Methods. Numerical Software and Chapter Summary.

11. BOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.
The Linear Shooting Method. The Shooting Method for Nonlinear Problems. Finite-Difference Methods for Linear Problems. Finite-Difference Methods for Nonlinear Problems. The Rayleigh-Ritz Method. Numerical Software and Chapter Summary.

12. NUMERICAL SOLUTIONS TO PARTIAL DIFFERENTIAL EQUATIONS.
Elliptic Partial Differential Equations. Parabolic Partial Differential Equations. Hyperbolic Partial Differential Equations. An Introduction to the Finite-Element Method. Numerical Software and Chapter Summary.

Bibliography.
Answers to Selected Exercises.

本帖隐藏的内容

高清扫描版 PDF:
Numerical Analysis (10th Edition).part1.rar (75 MB, 需要: 10 个论坛币)
Numerical Analysis (10th Edition).part2.rar (42.73 MB, 需要: 10 个论坛币)


  如果你喜欢我分享的书籍,请关注我:
https://bbs.pinggu.org/z_guanzhu.php?action=add&fuid=5975757

订阅我的文库:

【金融 + 经济 + 商学 + 国际政治】
https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3257

【数学 + 统计 + 计算机编程】
https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3258

【历史 + 心理学 + 社会自然科学】
https://bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3259



二维码

扫码加我 拉你入群

请注明:姓名-公司-职位

以便审核进群资格,未注明则拒绝

关键词:Numerical Analysis Edition numeric Analysi accessible techniques exercises examples expected

已有 1 人评分经验 论坛币 学术水平 热心指数 信用等级 收起 理由
accumulation + 100 + 100 + 1 + 1 + 1 精彩帖子

总评分: 经验 + 100  论坛币 + 100  学术水平 + 1  热心指数 + 1  信用等级 + 1   查看全部评分

本帖被以下文库推荐

bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3257
bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3258
bbs.pinggu.org/forum.php?mod=collection&action=view&ctid=3259
tmdxyz 发表于 2017-1-9 06:04:42 |显示全部楼层 |坛友微信交流群
Numerical Analysis (10th Edition)_Richard L. Burden

使用道具

wl5f 在职认证  发表于 2017-1-9 06:22:01 |显示全部楼层 |坛友微信交流群
Numerical Analysis

使用道具

franky_sas 发表于 2017-1-9 07:58:26 |显示全部楼层 |坛友微信交流群

使用道具

nivastuli 发表于 2017-1-9 09:02:16 |显示全部楼层 |坛友微信交流群
.............................

使用道具

igs816 在职认证  发表于 2017-1-9 09:27:38 |显示全部楼层 |坛友微信交流群
good!!

使用道具

381816321 发表于 2017-1-9 13:24:38 |显示全部楼层 |坛友微信交流群
谢谢分享楼主厉害楼主万岁

使用道具

谢谢分享

使用道具

jerry780 发表于 2017-1-9 21:03:50 |显示全部楼层 |坛友微信交流群
16584584

使用道具

banjxs96 发表于 2017-1-10 02:33:14 |显示全部楼层 |坛友微信交流群
厉害了我的楼主

使用道具

您需要登录后才可以回帖 登录 | 我要注册

本版微信群
加好友,备注jr
拉您进交流群

京ICP备16021002-2号 京B2-20170662号 京公网安备 11010802022788号 论坛法律顾问:王进律师 知识产权保护声明   免责及隐私声明

GMT+8, 2024-3-28 21:58