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

Book Details

• Author: F. B. Hildebrand

• Publisher: Dover

• Edition: 2nd Edition

• Binding: Paperback

• Number of Pages: 669

• Release Date: 01-06-1987

• ISBN: 9780486653631

• Languages: English

• Package Dimensions:

  • Length: 8.4 inches

  • Width: 5.5 inches

  • Height: 1.5 inches

About The Book
"Introduction to Numerical Analysis" by F. B. Hildebrand is a highly respected and comprehensive textbook that provides a solid foundation in the fundamental processes of numerical analysis. Widely considered a classic in the field, this well-known volume has been updated in its second edition to reflect the latest advancements in computational techniques and computer science applications.

The book explores essential topics such as computation, approximation, interpolation, numerical differentiation, and integration. It also covers the numerical solution of equations and the application of numerical methods to data smoothing, series summation, and the solution of ordinary differential equations. Each chapter is meticulously designed to guide students through various numerical methods and their practical applications.

Key chapters include:

• Introduction to numerical methods

• Interpolation with divided differences

• Lagrangian methods

• Finite-difference interpolation

• Numerical solutions to differential equations

• Least-squares polynomial approximation

In this revised edition, Professor Hildebrand introduces significant updates, including more attention to concepts related to computer-based calculations, machine errors, recursive methods, and an expanded focus on the midpoint rule, Romberg integration, and Filon integration. The book also introduces modified treatments for prediction-correction methods, the addition of Hamming's method, and updated reference lists, along with over 150 new problems for practice.

Aimed at advanced undergraduate and graduate students, this book is an essential resource for anyone studying or working in the field of numerical analysis. Its extensive content (669 pages) and practical approach make it a valuable reference for students, researchers, and professionals interested in the theory and applications of numerical methods.

The book's compact size (8.4 x 5.5 x 1.5 inches) ensures it is easily manageable for both study and practical reference.