An Introduction To Pascal Programming For Numerical Computations

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.

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.

Whereas most PASCAL books are for computing students, this book is designed for scientists and engineers. It provides relevant science and engineering examples.

The popularity of Pascal as a teaching language has rapidly increased, as demonstrated by Addyman's survey conducted over a11 European and American institutions (Comput. Bull., Se ries 2,8, June 1976,31). This is due both to the desirable features of the language and to the ease of producing an efficient com piler. As an instance of the latter, the authors have investigated the full CDC CYBER compiler and found it to throughput at 1.8 times the rate of the manu facturer's Fortran compiler. These features of the language and compilers have also been favourably regarded by system programmers and users of rnicroprocessors. In the latter field, it is the belief of the authors that Pascal will supersede the programming language BASIC. Specifically, undergraduates in the Department of Computer Science at Manchester University program largely in Pascal. An introductory le~ture course on basic programming techniques, given at Manchester, has been taken as a basis for this book. In addition to lectures, the course consists of two kinds of practical session. The first is based on the solution of short pencil-and-paper exercises. The second requires the student to write complete programs and run them in an 'edit and go' mode on interactive computer terminals. Each chapter of the book conc1udes with exercises and problems suitable for these purposes. Although solutions to a11 of these are not presented in the book, teaching staff may obtain them by application to the authors.

Lux Pascal is a modern programming language designed for high-performance parallel computing, especially in the field of scientific computing and data processing. It is an extension of Pascal language and provides a rich set of features, such as support for arrays, matrices, complex numbers, and built-in functions for mathematical operations. Lux Pascal aims to enable developers to write efficient, scalable, and maintainable code, while also providing a simple and intuitive syntax. One of the key strengths of Lux Pascal is its use of data parallelism, which allows multiple data items to be processed simultaneously. This is achieved through the use of parallel loops, which can distribute data across multiple cores or processors. Additionally, Lux Pascal provides a set of built-in functions for task parallelism, which allows developers to create multiple threads and execute them concurrently. With these features, Lux Pascal is well-suited for numerical computations, data analytics, and simulations, as well as other performance-critical applications.

Designed for the many applied mathematicians and engineers who wish to explore computerized numerical methods, this text explores the power of C++ as a tool for work in numerical methods. This revision of the successful first edition includes for the first time information on programming in Windows-based environments. In addition it includes new topics and methods throughout the text that clarify and enhance the treatment of the subject.