Scientific Computation with Result Verification has been a persevering research topic at the Institute for Applied Mathematics of Karlsruhe University for many years. A good number of meetings have been devoted to this area. The latest of these meetings was held from 30 September to 2 October, 1987, in Karlsruhe; it was co-sponsored by the GAMM Committee on "Computer Arithmetic and Scientific Computation". - - This volume combines edited versions of selected papers presented at this confer ence, including a few which were presented at a similar meeting one year earlier. The selection was made on the basis of relevance to the topic chosen for this volume. All papers are original contributions. In an appendix, we have supplied a short account of the Fortran-SC language which permits the programming of algorithms with result verification in a natural manner. The editors hope that the publication of this material as a Supplementum of Computing will further stimulate the interest of the scientific community in this important tool for Scientific Computation. In particular, we would like to make application scientists aware of its potential. The papers in the second chapter of this volume should convince them that automatic result verification may help them to design more reliable software for their particular tasks. We wish to thank all contributors for adapting their manuscripts to the goals of this volume. We are also grateful to the Publisher, Springer-Verlag of Vienna, for an efficient and quick production.

The hilarious, challenging and inspiring ending to the Don Tillman trilogy that will have readers cheering for joy.

Business Result is a six-level business English course that gives students the communication skills they need for immediate use at work.

The new multi-level exam preparation series for Cambridge ESOL exams which inspires students to better exam results.

Turbocharge your reasoning with Critical Thinking Just what are the ingredients of a great argument? What is the secret to communicating your ideas clearly and persuasively? And how do you see through sloppy thinking and flim-flam? If you’ve ever asked any of these questions, then this book is for you! These days, strong critical thinking skills provide a vital foundation for academic success, and Critical Thinking Skills For Dummies offers a clear and unintimidating introduction to what can otherwise be a pretty complex topic. Inside, you'll get hands-on, lively, and fun exercises that you can put to work today to improve your arguments and pin down key issues. With this accessible and friendly guide, you'll get plain-English instruction on how to identify other people's assumptions, methodology, and conclusions, evaluate evidence, and interpret texts effectively. You'll also find tips and guidance on reading between the lines, assessing validity – and even advice on when not to apply logic too rigidly! Critical Thinking Skills for Dummies: Provides tools and strategies from a range of disciplines great for developing your reflective thinking skills Offers expert guidance on sound reasoning and textual analysis Shows precisely how to use concept mapping and brainstorming to generate insights Demonstrates how critical thinking skills is a proven path to success as a student Whether you're undertaking reviews, planning research projects or just keen to give your brain a workout, Critical Thinking Skills For Dummies equips you with everything you need to succeed.

Business Result is a six-level business English course that gives students the communication skills they need for immediate use at work.