This book is primarily intended for undergraduates in mathematics, the physical sciences and engineering. It introduces students to most of the techniques forming the core component of courses in numerical analysis. The text is divided into eight chapters which are largely self-contained. However, with a subject as intricately woven as mathematics, there is inevitably some interdependence between them. The level of difficulty varies and, although emphasis is firmly placed on the methods themselves rather than their analysis, we have not hesitated to include theoretical material when we consider it to be sufficiently interesting. However, it should be possible to omit those parts that do seem daunting while still being able to follow the worked examples and to tackle the exercises accompanying each section. Familiarity with the basic results of analysis and linear algebra is assumed since these are normally taught in first courses on mathematical methods. For reference purposes a list of theorems used in the text is given in the appendix.
Elementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.
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 ...
Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." —Zentrablatt Math ". . . carefully structured with many ...
On the occasion of this new edition, the text was enlarged by several new sections.
This book is an introduction to numerical methods for solving linear and nonlinear systems of equations as well as ordinary and partial differential equations, and for approximating curves, functions, and integrals.
This text provides a thorough and comprehensive exposition of all the topics contained in a classical graduate sequence in numerical analysis.
Introduction to Numerical Analysis
Lee, M., 137 Legendre, A.-M., 63 Leibler, R., 137 Leibniz, G.W., 14 Levenson, A., 181 Levin, A., 138 Lewis, R.M., 158, ... 80 Nelder, J.A., 80, 91 Neumann, C., 68 Neville, E.H., 3 Newton, I., viii, 14, 142, 143 Nichols, N., 171 Noble, ...
Computer science rests upon the building blocks of numerical analysis.
Numerical Analysis, designed to be used in a one-year course for students in engineering, science and mathematics, helps the student gain a deeper understanding of numerical analysis by highlighting the...