Introduction to Numerical Computation in Pascal

✍ Scribed by P. M. Dew, K. R. James (auth.)

• Publisher: Springer-Verlag New York
• Year: 1983
• Tongue: English
• Leaves: 299
• Edition: 1
• Category: Library

✦ Synopsis

Our intention in this book is to cover the core material in numerical analysis normally taught to students on degree courses in computer science. The main emphasis is placed on the use of analysis and programming techniques to produce well-designed, reliable mathematical software. The treatment should be of interest also to students of mathematics, science and engineering who wish to learn how to write good programs for mathematical computations. The reader is assumed to have some acquaintance with Pascal programming. Aspects of Pascal particularly relevant to numerical computation are revised and developed in the first chapter. Although Pascal has some drawbacks for serious numerical work (for example, only one precision for real numbers), the language has major compensating advantages: it is a widely used teaching language that will be familiar to many students and it encourages the writing of clear, well­ structured programs. By careful use of structure and documentation, we have produced codes that we believe to be readable; particular care has been taken to ensure that students should be able to understand the codes in conjunction with the descriptive material given in the book.

✦ Table of Contents

Front Matter....Pages i-xi
Front Matter....Pages 1-1
Programming in Pascal....Pages 3-27
Principles of Mathematical Software....Pages 28-43
Basic Mathematics and Applications....Pages 44-69
Real Numbers, Machine Numbers and Errors....Pages 70-92
Front Matter....Pages 93-93
Solution of Non-linear Equations in One Variable: Newton’s Method....Pages 95-119
Solution of Non-linear Equations in One Variable: Interval Methods....Pages 120-139
Systems of Linear Equations....Pages 140-188
Numerical Integration: Fixed-point Rules....Pages 189-212
Numerical Integration: Adaptive Methods....Pages 213-260
Back Matter....Pages 261-291

✦ Subjects

Applications of Mathematics; Computer Science, general; Mathematics of Computing; Numeric Computing