Kirjahaku

Preface Objectives of This Book • To teach calculus as a laboratory science, with the computer and software as the lab, and to use this lab as an essential tool in learning and using calculus. • To present calculus and elementary differential equations with a minimum of fuss-through practice, not theory. • To stress ideas of calculus, applications, and problem solving, rather than definitions, theorems, and proofs. • Toemphasize numerical aspects: approximations, order of magnitude, concrete answers to problems. • To organize the topics consistent with the needs of students in their concurrent science and engineering courses. The subject matter of calculus courses has developed over many years, much by negotiation with the disciplines calculus serves, particularly engineering. This text covers the standard topics in their conventional order. Mostly because of commercial pressures, calculus texts have grown larger and larger, trying to include everything that anyone conceivably would cover. Calculus texts have also added more and more expensive pizzazz, up to four colors now. This text is lean; it eliminates most of the "fat" of recent calculus texts; it has a simple physical black/white format; it ignores much of current calculus "culture". The computer has forced basic changes in emphasis and how to teach calculus.

A graduate-level text introducing the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Directed primarily to graduate-level engineers and physical scientists, it has also been used successfully to introduce modern differential geometry to graduate students in mathematics. Includes 45 illustrations. Index.

Guide to this Book My main objective is to teach programming in Pascal to people in the hard sciences and technology, who don't have much patience with the standard textbooks with their lengthy, pedantic approach, and their many examples of no interest to scientists and engineers. Another objective is to present many both interesting and useful algorithms and programs. A secondary objective is to explain how to cope with various features of the PC hardware. Pascal really is a wonderful programming language. It is easy to learn and to remember, and it has unrivalled clarity. You get serious results in short order. How should you read this book? Maybe backwards is the answer. If you are just starting with the Borland Pascal package, you must begin with Appendix 1, The Borland Pascal Package. If you are a Pascal user already, still you should skim over Appendix 1. Appendix 2, On Programming, has material on saving programming time and on debugging that might be useful for reference. Chapter 1, Introduction to Pascal, will hardly be read by the experienced Pascal programmer (unless he or she has not used units). Chapter 2, Programming Basics, begins to sample deeper waters, and I hope everyone will find something interesting there. Chapter 3, Files, Records, Pointers, is the final chapter to concentrate on the Pascal programming language; the remaining chapters concentrate on various areas of application.