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Combinatorial Methods and Models
Language
English
English
Book
Hardback
The fourth volume of Rudolf Ahlswede's lectures on Information Theory is focused on Combinatorics. R...
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The fourth volume of Rudolf Ahlswede's lectures on Information Theory is focused on Combinatorics. Rudolf Ahlswede's original motivation to study combinatorial aspects of Information Theory problems were zero-error codes: in this case the structure of the coding problems usually drastically changes from probabilistic to combinatorial. The best example is Shannon's zero error capacity where independent sets in graphs have to be examined. The extension to multiple access channels leads to the Zarankiewicz problem.
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.
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About the book
Full name
Combinatorial Methods and Models
Language
English
English
Binding
Book - Hardback
Date of issue
2017
Number of pages
385
EAN
9783319531373
ISBN
3319531379
Libristo code
15690989
Publishers
Springer International Publishing AG
Weight
8005
Dimensions
155 x 235 x 25
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