数値法・解析入門（第２版） Introduction to Numerical Methods and Analysis -- Hardback （2 Rev ed）

Epperson, James F.

John Wiley & Sons Inc（2013/11発売）

• 製本 Hardcover:ハードカバー版
• 言語 ENG
• 商品コード 9781118367599
• DDC分類 518

Full Description

Praise for the First Edition

". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises."—Zentralblatt MATH

". . . carefully structured with many detailed worked examples."—The Mathematical Gazette


The Second Edition of the highly regarded An Introduction to Numerical Methods and Analysis provides a fully revised guide to numerical approximation. The book continues to be accessible and expertly guides readers through the many available techniques of numerical methods and analysis.

An Introduction to Numerical Methods and Analysis, Second Edition reflects the latest trends in the field, includes new material and revised exercises, and offers a unique emphasis on applications. The author clearly explains how to both construct and evaluate approximations for accuracy and performance, which are key skills in a variety of fields. A wide range of higher-level methods and solutions, including new topics such as the roots of polynomials, spectral collocation, finite element ideas, and Clenshaw-Curtis quadrature, are presented from an introductory perspective, and the Second Edition also features:



Chapters and sections that begin with basic, elementary material followed by gradual coverage of more advanced material
Exercises ranging from simple hand computations to challenging derivations and minor proofs to programming exercises
Widespread exposure and utilization of MATLAB
An appendix that contains proofs of various theorems and other material

The book is an ideal textbook for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.

Contents

Preface xiii

1 Introductory Concepts and Calculus Review 1

2 A Survey of Simple Methods and Tools 43

3 Root-Finding 89

4 Interpolation and Approximation 171

5 Numerical Integration 269

6 Numerical Methods for Ordinary Differential Equations 329

7 Numerical Methods for the Solution of Systems of Equations 417

8 Approximate Solution of the Algebraic Eigenvalue Problem 479

9 A Survey of Numerical Methods for Partial Differential Equations 521

10 An Introduction to Spectral Methods 555

Appendix A: Proofs of Selected Theorems, and Other Additional Material 581

Index 587