Introduction to Numerical Analysis: Second Edition (Dover Books on Mathematics)

Hildebrand, F. B.

ISBN 10: 0486653633 / ISBN 13: 9780486653631

Edité par Dover Publications, 1987

A propos de cet article

This item is in overall acceptable condition. Covers and dust jackets are intact but may have heavy wear including creases, bends, edge wear, curled corners or minor tears as well as stickers or sticker-residue. Pages are intact but may have minor curls, bends or moderate to considerable highlighting writing. Binding is intact; however, spine may have heavy wear. Digital codes may not be included and have not been tested to be redeemable and or active. A well-read copy overall. Please note that all items are donated goods and are in used condition. Orders shipped Monday through Friday! Your purchase helps put people to work and learn life skills to reach their full potential. Orders shipped Monday through Friday. Your purchase helps put people to work and learn life skills to reach their full potential. Thank you!

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Détails bibliographiques

• Titre: Introduction to Numerical Analysis: Second Edition (Dover Books on Mathematics)
• Éditeur: Dover Publications
• Date de parution: 1987
• Langue: anglais
• ISBN à 10 chiffres: 0486653633
• ISBN à 13 chiffres: 9780486653631
• Reliure: Couverture souple
• Édition: 2ème Édition
• État de l'article: acceptable

A propos de ce titre

Synopsis

The ultimate aim of the field of numerical analysis is to provide convenient methods for obtaining useful solutions to mathematical problems and for extracting useful information from available solutions which are not expressed in tractable forms. This well-known, highly respected volume provides an introduction to the fundamental processes of numerical analysis, including substantial grounding in the basic operations of computation, approximation, interpolation, numerical differentiation and integration, and the numerical solution of equations, as well as in applications to such processes as the smoothing of data, the numerical summation of series, and the numerical solution of ordinary differential equations.
Chapter headings include:
l. Introduction
2. Interpolation with Divided Differences
3. Lagrangian Methods
4. Finite-Difference Interpolation
5. Operations with Finite Differences
6. Numerical Solution of Differential Equations
7. Least-Squares Polynomial Approximation
In this revised and updated second edition, Professor Hildebrand (Emeritus, Mathematics, MIT) made a special effort to include more recent significant developments in the field, increasing the focus on concepts and procedures associated with computers. This new material includes discussions of machine errors and recursive calculation, increased emphasis on the midpoint rule and the consideration of Romberg integration and the classical Filon integration; a modified treatment of prediction-correction methods and the addition of Hamming's method, and numerous other important topics.
In addition, reference lists have been expanded and updated, and more than 150 new problems have been added. Widely considered the classic book in the field, Hildebrand's Introduction to Numerical Analysis is aimed at advanced undergraduate and graduate students, or the general reader in search of a strong, clear introduction to the theory and analysis of numbers.