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Transmitting and Gaining Data

Rudolf Ahlswede’s Lectures on Information Theory 2

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  • © 2015

Overview

  • Written by a well-known author
  • Useful as a self-study guide
  • Focuses on selected topics

Part of the book series: Foundations in Signal Processing, Communications and Networking (SIGNAL, volume 11)

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Table of contents (8 chapters)

  1. Transmitting Data

  2. Gaining Data

Keywords

About this book

The calculation of channel capacities was one of Rudolf Ahlswede's specialties and is the main topic of this second volume of his Lectures on Information Theory. Here we find a detailed account of some very classical material from the early days of Information Theory, including developments from the USA, Russia, Hungary and (which Ahlswede was probably in a unique position to describe) the German school centered around his supervisor Konrad Jacobs. These lectures made an approach to a rigorous justification of the foundations of Information Theory. This is the second of several volumes documenting Rudolf Ahlswede's lectures on Information Theory. Each volume includes comments from an invited well-known expert. In the supplement to the present volume, Gerhard Kramer contributes his insights.

Classical information processing concerns the main tasks of gaining knowledge and the storage, transmission and hiding of data. The first task is the prime goal of Statistics. For transmission and hiding data, Shannon developed an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.

Authors, Editors and Affiliations

  • Bielefeld, Germany

    Alexander Ahlswede

  • Faculty Mathematics and Comp. Science, Friedrich-Schiller-University Jena, Jena, Germany

    Ingo Althöfer

  • Faculty of Mathematics, University of Bielefeld, Bielefeld, Germany

    Christian Deppe, Rudolf Ahlswede

  • Applied Math., Stat., Quant. Methods, Bielefeld University of Appl. Scien, Bielefeld, Germany

    Ulrich Tamm

About the editors

Rudolf Ahlswede (1938 - 2010) studied Mathematics in Göttingen, and held postdoc positions in Erlangen, Germany and Ohio, USA. From 1977 on he was full Professor of Applied Mathematics at the University of Bielefeld. His work represents an essential contribution to information theory and networking. He developed and contributed to a number of central areas, including network coding, and theory of identification, while also advancing the fields of combinatorics and number theory. These efforts culminated in his research program “Development of a General Theory of Information Transfer”. In recognition of his work, Rudolf Ahlswede received several awards for “Best Paper”, as well as the distinguished “Shannon Award”.

Bibliographic Information

  • Book Title: Transmitting and Gaining Data

  • Book Subtitle: Rudolf Ahlswede’s Lectures on Information Theory 2

  • Authors: Rudolf Ahlswede

  • Editors: Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm

  • Series Title: Foundations in Signal Processing, Communications and Networking

  • DOI: https://doi.org/10.1007/978-3-319-12523-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-12522-0Published: 01 December 2014

  • Softcover ISBN: 978-3-319-35656-3Published: 22 September 2016

  • eBook ISBN: 978-3-319-12523-7Published: 15 November 2014

  • Series ISSN: 1863-8538

  • Series E-ISSN: 1863-8546

  • Edition Number: 1

  • Number of Pages: XVII, 461

  • Number of Illustrations: 4 b/w illustrations

  • Topics: Information and Communication, Circuits

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