文档介绍：Theory and Applications of
Numerical Analysis
Second edition, by G. M. M. Phillips, Peter J. Taylor
· ISBN: 0125535600
· Pub. Date: September 1996
· Publisher: Elsevier Science & Technology Books
PREFACE
Although no text of reasonable length can cover all possible topics, it
seemed to us that the first edition of this text would be improved by
including material on two further items. Thus the main change in the second
edition is the addition of two entirely new chapters, Chapter 6 (Splines and
other approximations) and Chapter 11 (Matrix eigenvalues and eigen-
vectors). In the preface to the first edition we stated that the material was
equivalent to about sixty lectures. This new edition has adequate material for
two separate semester courses.
When this book first appeared in 1973, computers were much less
'friendly' than they are now (1995) and, in general, it was only specialists
who had access to them. The only calculating aids available to the majority
of our readers were mathematical tables and desk calculators; the latter were
mainly mechanical machines, which are now museum pieces. In contrast,
the readership of our second edition will be able to appreciate the power and
elegance of the algorithms which we discuss by implementing them, and
experimenting with them, on puter. (Sounding like our parents of
old, we can say to our students 'We never had it so easy: you are lucky!')
To encourage the active pursuit of the algorithms in the text, we have
puting exercises amongst the problems at the end of each
chapter.
Despite the changes made in the second edition, the flavour of this text
remains the same, reflecting the authors' tastes: in short, we like both
theorems and algorithms and we remain in awe of the masters of our craft
who discovered or created them. The theorems show how the mathematics
hangs together and point the way to the algorithms.
We are deeply grateful to our readership