Jean Grosjean

Klaus Weltner

Peter Schuster

Sebastian John

Wolfgang J. Weber

This textbook offers an accessible approach to the subject of mathematics which divides the topic into smaller units, guiding students through questions, exercises and problems designed to slowly increase student confidence and experience. The sequence of studies is individualised according to performance and can be regarded as full tutorial course. The study guide satisfies two objectives simultaneously: firstly it enables students to make effective use of the textbook and secondly it offers advice on the improvement of study skills. Empirical studies have shown that the student's competence for using written information has improved significantly by using this study guide. The new edition includes a new chapter on Fourier integrals and Fourier transforms, numerous sections had been updated, 30 new problems with solutions had been added. The interactive study guide has seen a substantial update.

Fundamentals and Interactive Study Guide

Mathematics for Physicists and Engineers

Information theory and cybernetics have developed along somewhat different lines in Europe and in the U. S. A. This book is to be seen as a contribution towards bridging the gap. Anyone who seeks to apply information theory in the fields of education and psychology very soon comes up against a central diffi culty: in the form in which it was developed by Shannon information theory excludes the semantic aspect. This problem is fundamental for in education, as in psychology, the semantic aspect is the very heart of the matter. Thus, while Attneave, Miller and Quastler, among others, successfully employed the concepts and units of measurement of in formation theory in the interpretation of the findings of experimental psychology, they were obliged to restrict their work to its syntactic and statistical aspects. Before we can make use of the methods and results of information we have to solve the central problem: How can theory in actual teaching, we measure the semantic information of a verbal message? The only way to do this is by extending the theory. A special concept has been deve loped for this purpose: subjective information. In place of an objectively measurable quantity (frequency of sign sequences) we set an empirically determined one: the subjective probability with which the recipient expects a certain sign sequence.

Klaus Weltner

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