Numerical analysis
By: L. Ridgway Scott
Publisher: Princeton University Press
Published: 2011
Place of publication: Princeton, N.J
Language: eng
Number of pages: 325
ISBN-13: 9780691146867
Subjects: Numerical analysis
Description: Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks.
Notes: Includes bibliographical references (p. [311]-322) and index.
Table of contents: title: Ch. 1. Numerical algorithms; title: Ch. 2. Nonlinear equations; title: Ch. 3. Linear systems; title: Ch. 4. Direct solvers; title: Ch. 5. Vector spaces; title: Ch. 6. Operators; title: Ch. 7. Nonlinear systems; title: Ch. 8. Iterative methods; title: Ch. 9. Conjugate gradients; title: Ch. 10. Polynominal interpolation; title: Ch. 11. Chebyshev and Hermite interpolation; title: Ch. 12. Approximation theory; title: Ch. 13. Numerical quadrature; title: Ch. 14. Eigenvalue problems; title: Ch. 15. Eigenvalue algorithms; title: Ch. 16. Ordinary differential equations; title: Ch. 17. Higher-order ODE discretization methods; title: Ch. 18. Floating point; title: Ch. 19. Notation.