zbMATH — the first resource for mathematics

Numerical analysis. 5th ed. (English) Zbl 0788.65001
Boston, MA: PWS Publishing Company. London: ITP International Thomson Publishing, xiv, 768 p. £22.50 /hc (1993).
This textbook is written primarily for undergraduate courses in numerical analysis for mathematics, science, and engineering students. It is assumed that the readers are familiar with the notions from calculus courses and that they have some experience with programming in high level languages such as FORTRAN or Pascal. In the preface, the authors describe some of their goals as follows: “to give an introduction to modern approximation techniques; to explain how and why, and when they can be expected to work; and to prove a firm basis for future study in numerical analysis”.
The book covers material enough for a one year course including about 2000 exercises. All the usual topics of numerical analysis courses are covered and more than 50 algorithms are given in the text in a form that is easy to program. Some of the more advanced topics include spline algorithms, Bézier curves, Padé rational approximation, fast Fourier transform, and the finite element method. At the end of each chapter the authors give very useful surveys of numerical software. These software surveys as well as some of the more advanced algorithms appear for the first time in the present edition of the book.
All the algorithms are available both in FORTRAN and in Pascal languages on a diskette. There is also an excellent Instructor’s Manual that contains solutions to all the exercises. The exercises are carefully designed and often relate to real life problems of science, engineering or biology applications.
The four earlier editions have been very popular textbooks and the present fifth edition, with many improvements and new material, meets the needs of instructors and students even better than the earlier versions.
[For a survey of the fourth edition (1989) see Zbl 0671.65001].

65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
00A06 Mathematics for nonmathematicians (engineering, social sciences, etc.)