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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.
Mathematics is the basic language in physics and engineering. This textbook offers an accessible and highly-effective approach to mathematics which is characterised by the combination of the textbook with a detailed study guide on an accompanying CD.
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 ...
Research on discourse (or text) processing has only recently come into its own. It builds on the work of text analysis which has a long and distinguished history, but modern developments in psychology (e.g. memory research), artificial intelligence, linguistics and philosophy have contributed to this emergence in the last decade as a lively and promising research area.This book contains 46 selected and edited contributions from the International Symposium held in Fribourg in 1981, and represents a truly international overview of the developments in research on written and oral discourse. The contributions have been grouped according to problem area and not according to methodology, with the intention of focusing on the important issues in the field of discourse processing and of showing how diverse approaches contribute to a better understanding of the problems involved. The main themes are: text structure, coherence, inference, memory processes, attention and control, goal perspectives, and educational implications.
This book provides a compact course in modern cryptography. The mathematical foundations in algebra, number theory and probability are presented with a focus on their cryptographic applications. The text provides rigorous definitions and follows the provable security approach. The most relevant cryptographic schemes are covered, including block ciphers, stream ciphers, hash functions, message authentication codes, public-key encryption, key establishment, digital signatures and elliptic curves. The current developments in post-quantum cryptography are also explored, with separate chapters on quantum computing, lattice-based and code-based cryptosystems. Many examples, figures and exercises, ...
The pendulum is a universal topic in primary and secondary schools, but its full potential for learning about physics, the nature of science, and the relationships between science, mathematics, technology, society and culture is seldom realised. Contributions to this 32-chapter anthology deal with the science, history, methodology and pedagogy of pendulum motion. There is ample material for the richer and more cross-disciplinary treatment of the pendulum from elementary school to high school, and through to advanced university classes. Scientists will value the studies on the physics of the pendulum; historians will appreciate the detailed treatment of Galileo, Huygens, Newton and Foucault’s pendulum investigations; psychologists and educators will learn from the papers on Piaget; teachers will welcome the many contributions to pendulum pedagogy. All readers will come away with a new awareness of the importance of the pendulum in the foundation and development of modern science; and for its centrality in so many facets of society and culture.
Otto Peters is widely recognised as one of the world's leading authorities on distance education. His theory of distance education as the most industrialized form of education is the most original and far reaching analysis of distance education yet produced. This book brings together the best of Peters' work, most of which has not been previously available in the English language. Drawing on German sociologists and philosophers of education from Weber and Tonnies to Heimann and Schultz, Peters builds up an impressive analysis of the advantages and defects of the industrialization of education. The essays in this collection cover the historical development of teaching and learning at a distance, from the correspondence schools of the 1950s through to distance education in the post-industrial societies of today. The book also includes a fascinating account of Peters' central role in the foundation and running of the FernUniversitat, the German Open University.
M.U.S. (Mathematical Uniform Space) is a new number of π (pi), representing the reality of the Universe in which we live. With this number, we created a new geometry, Hyperelliptical Geometry, which will provide the unification of physics, thus uniting the Theory of Relativity and Quantum Theory. A new geometry for a new Mathematics and a new Physics. (ISBN 978-65-00-98107-0).