Introduction to Numerical Computation in Pascal

1. Front Matter

   Pages i-xi

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2. Fundamental Techniques

   1. Front Matter

      Pages 1-1

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   2. Programming in Pascal

      • P. M. Dew, K. R. James

      Pages 3-27

   3. Principles of Mathematical Software

      • P. M. Dew, K. R. James

      Pages 28-43

   4. Basic Mathematics and Applications

      • P. M. Dew, K. R. James

      Pages 44-69

   5. Real Numbers, Machine Numbers and Errors

      • P. M. Dew, K. R. James

      Pages 70-92

3. Development of Mathematical Software

   1. Front Matter

      Pages 93-93

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   2. Solution of Non-linear Equations in One Variable: Newton’s Method

      • P. M. Dew, K. R. James

      Pages 95-119

   3. Solution of Non-linear Equations in One Variable: Interval Methods

      • P. M. Dew, K. R. James

      Pages 120-139

   4. Systems of Linear Equations

      • P. M. Dew, K. R. James

      Pages 140-188

   5. Numerical Integration: Fixed-point Rules

      • P. M. Dew, K. R. James

      Pages 189-212

   6. Numerical Integration: Adaptive Methods

      • P. M. Dew, K. R. James

      Pages 213-260

4. Back Matter

   Pages 261-291

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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.

• Mathematica
• Pascal
• computer
• computer science
• programming

• Department of Computer Studies, University of Leeds, UK

  P. M. Dew, K. R. James

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