Numerical methods for mathematics, science, and engineering:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Englewood Cliffs, NJ
Prentice Hall
1992
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | 1. Aufl. u.d.T.: Mathews, John H.: Numerical methods for computer science, engineering, and mathematics |
| Physical Description: | X, 646 S. graph. Darst. |
| ISBN: | 0136249906 |
Staff View
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Record in the Search Index
| _version_ | 1817704482868297728 |
|---|---|
| adam_text |
Contents
Preface ix
I Preliminaries 1
1.1 Review of Calculus 2
1.2 Binary Numbers 75
1.3 Error Analysis 28
£* The Solution of Nonlinear Equations
f[x) = 0 43
2.1 Iteration for Solving x = g(x) 44
2.2 Bracketing Methods for Locating a Root 54
2.3 Initial Approximations and Convergence Criteria 65
2.4 Newton-Raphson and Secant Methods 71
2.5 Aitken's Process and Steffensen's
and Muller's Methods (Optional) 91
v
vi Contents
2.6 Iteration for Nonlinear Systems 700
2.7 Newton's Method for Systems 112
3 The Solution of Linear Systems
AX=B 122
3.1 Introduction to Vectors and Matrices 722
3.2 Properties of Vectors and Matrices 750
3.3 Upper-Triangular Linear Systems 142
3.4 Gaussian Elimination and Pivoting 148
3.5 Matrix Inversion 767
3.6 Triangular Factorization 766
3.7 Iterative Methods for Linear Systems 180
^1 Interpolation and Polynomial
Approximation 191
4.1 Taylor Series and Calculation
of Functions 792
4.2 Introduction to Interpolation 207
4.3 Lagrange Approximation 275
4.4 Newton Polynomials 227
4.5 Chebyshev Polynomials (Optional) 237
4.6 Pade Approximations 249
3 Curve Fitting 257
5.1 Least-Squares Line 258
5.2 Curve Fitting 268
5.3 Interpolation by Spline Functions 284
5.4 Fourier Series and Trigonometric Polynomials 303
Contents vii
0 Numerical Differentiation 315
6.1 Approximating the Derivative 316
6.2 Numerical Differentiation Formulas 332
1 Numerical Integration 346
7.1 Introduction to Quadrature 347
1.1 Composite Trapezoidal and Simpson's Rule 357
7.3 Recursive Rules and Romberg Integration 369
7.4 Adaptive Quadrature 385
7.5 Gauss-Legendre Integration (Optional) 391
O Numerical Optimization 400
8.1 Minimization of a Function 401
2/ Solution of Differential Equations 423
9.1 Introduction to Differential Equations 424
9.2 Euler's Method 429
9.3 Heun's Method 437
9.4 Taylor Series Method 444
9.5 Runge-Kutta Methods 450
9.6 Predictor-Corrector Methods 464
9.7 Systems of Differential Equations 475
9.8 Boundary Value Problems 484
9.9 Finite-Difference Method 491
viii Contents
11/ Solution of Partial Differential
Equations 498
10.1 Hyperbolic Equations 500
10.2 Parabolic Equations 509
10.3 Elliptic Equations 520
I I Eigenvalues and Eigenvectors 536
11.1 Homogeneous Systems: The Eigenvalue Problem 536
11.2 The Power Method 549
11.3 Jacobi's Method 562
11.4 Eigenvalues of Symmetric Matrices 574
Suggested References for Reports 592
Bibliography and References 594
Answers to Selected Exercises 604
Index 641 |
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| dewey-raw | 519.4 |
| dewey-search | 519.4 |
| dewey-sort | 3519.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| spelling | Mathews, John H. Verfasser aut Numerical methods for mathematics, science, and engineering John H. Mathews 2. ed. Englewood Cliffs, NJ Prentice Hall 1992 X, 646 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier 1. Aufl. u.d.T.: Mathews, John H.: Numerical methods for computer science, engineering, and mathematics Analyse numérique - Problèmes et exercices ram Analyse numérique ram Numerieke methoden gtt Numerieke wiskunde gtt calcul scientifique inriac méthode numérique inriac Numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Numerische Mathematik (DE-588)4042805-9 s DE-604 Numerisches Verfahren (DE-588)4128130-5 s 2\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003441553&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mathews, John H. Numerical methods for mathematics, science, and engineering Analyse numérique - Problèmes et exercices ram Analyse numérique ram Numerieke methoden gtt Numerieke wiskunde gtt calcul scientifique inriac méthode numérique inriac Numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4128130-5 (DE-588)4143389-0 |
| title | Numerical methods for mathematics, science, and engineering |
| title_auth | Numerical methods for mathematics, science, and engineering |
| title_exact_search | Numerical methods for mathematics, science, and engineering |
| title_full | Numerical methods for mathematics, science, and engineering John H. Mathews |
| title_fullStr | Numerical methods for mathematics, science, and engineering John H. Mathews |
| title_full_unstemmed | Numerical methods for mathematics, science, and engineering John H. Mathews |
| title_short | Numerical methods for mathematics, science, and engineering |
| title_sort | numerical methods for mathematics science and engineering |
| topic | Analyse numérique - Problèmes et exercices ram Analyse numérique ram Numerieke methoden gtt Numerieke wiskunde gtt calcul scientifique inriac méthode numérique inriac Numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Analyse numérique - Problèmes et exercices Analyse numérique Numerieke methoden Numerieke wiskunde calcul scientifique méthode numérique Numerical analysis Numerische Mathematik Numerisches Verfahren Aufgabensammlung |
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