Numerical Methods (Dover Books on Mathematics)

Dahlquist, Germund

ISBN 10: 0486428079 / ISBN 13: 9780486428079

Editore: Dover Publications Inc., 2003

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Dati bibliografici

• Titolo: Numerical Methods (Dover Books on Mathematics)
• Editore: Dover Publications Inc.
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0486428079
• ISBN 13: 9780486428079
• Rilegatura: Paperback
• Condizione: Very Good

Descrizione articolo

Riassunto

"Substantial, detailed and rigorous . . . readers for whom the book is intended are admirably served." — MathSciNet (Mathematical Reviews on the Web), American Mathematical Society. Practical text strikes fine balance between students' requirements for theoretical treatment and needs of practitioners, with best methods for large- and small-scale computing. Prerequisites are minimal (calculus, linear algebra, and preferably some acquaintance with computer programming). Text includes many worked examples, problems, and an extensive bibliography.

Contenuti

Preface. Conventions. 1. Some General Principles of Numerical Calculation. 2. How to Obtain and Estimate Accuracy in Numerical Calculations. 3. Numerical Uses of Series. 4. Approximation of Functions. 5. Numerical Linear Algebra. 6. Nonlinear Equations. 7. Finite Differences with Applications to Numerical Integration, Differentiation and Interpolation. 8. Differential Equations. 9. Fourier Methods. 10. Optimization. 11. The Monte Carlo Method and Simulation. 12. Solutions to Problems. 13. Bibliography and Published Algorithms. Appendix Tables. Index.