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."

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.

Das zweibandige Lehrwerk bietet eine gut verstandliche Einfuhrung in die mathematischen Grundlagen des Physik- und Ingenieurstudiums. Band 1 richtet sich an Studierende im ersten Semester (Bachelor). Die Lerninhalte werden begleitet von Erlauterungen zu den einzelnen UEbungsschritten (Ruckfragen, Aufgaben und Loesungen), welche auch online zur Verfugung stehen. Daher eignet sich das seit uber 25 Jahren bewahrte Lehrbuch hervorragend fur das Selbststudium. Die 17. Auflage wurde uberarbeitet und erganzt.

Das Lehrbuch bietet umfangreiche Anleitungen und UEbungsaufgaben zum Band "Mathematik fur Physiker" desselben Autors. Die Studienanleitungen mit Fragen und Kontrollaufgaben erleichtern Lesern das eigenstandige Erarbeiten des Stoffs. In zusatzlichen Erlauterungen vertieft der Autor einzelne Themenfelder und geht auf individuelle Lernschwierigkeiten ein. Band 2 des UEbungswerks enthalt uber 700 Aufgaben mit ausfuhrlichen Loesungen und ist der ideale Begleiter fur Bachelor-Studierende der Physik wahrend des zweiten Semesters.

Das Lehrbuch bietet umfangreiche Anleitungen und Ubungsaufgaben zum Band Mathematik fur Physiker" desselben Autors. Die Studienanleitungen mit Fragen und Kontrollaufgaben erleichtern das eigenstandige Erarbeiten des Stoffs. In zusatzlichen Erlauterungen vertieft der Autor einzelne Themenfelder und geht auf individuelle Lernschwierigkeiten ein. Das Buch enthalt uber 800 Aufgaben mit ausfuhrlichen Losungen, es ist der ideale Begleiter fur Bachelor-Studierende der Physik und der Ingenieurwissenschaften wahrend des ersten Semesters."

Das zweibandige Werk bietet eine Einfuhrung in die Mathematik fur Physiker. Band 2 begleitet das zweite Semester Physik im Bachelor-Studium. Das bewahrte Lehrbuch beinhaltet uber das Druckwerk hinaus eine interaktive Lernsoftware sowie 1.460 interaktive Lehr- und UEbungsschritte. Das umfangreiche Lern- und Leitprogramm wurde fur die Neuauflage komplett neu erstellt und ist im Internet verfugbar.

This textbook takes physics and engineering undergraduates through the mathematics they need in the first years of study. It offers an accessible approach which is characterized by the combination of the textbook with a detailed study guide. This study guide, supplied as freely accessible downloads for each chapter, divides the whole learning task into small units. You will read and study a limited section of the textbook and then return to the study guide afterwards. Learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. The degree of difficulty slowly rises, which will let you gain confidence and experience your own progress, thus fostering motivation. The sequence of studies can be individualized according to performance and can be regarded as a full tutorial course. This combination of a textbook with a detailed study guide is a powerful means to meet the rising importance of learning outside of lectures at home and will be of great benefit, especially to students learning remotely.